Practice Test

1) Rishabh deposits Rs.1,00,000 with the bank which pays 10% interest compounded annually for a period of 4 years. How much amount will he get on maturity?

2) Vaibhav has invested Rs.25,000 in fixed deposit for 5 years at 9% interest. How much will he receive at maturity?

3) Avinash has invested Rs.3,00,000 in bank certificate of deposit for 3 years at 8%. How much will he receive at maturity?

4) Find the present value of Rs.50,000 receivable after 8 years if the rate of interest is 10%.

5) Ashish wants to send his daughter to Australia for MBA after 6 years. He would require Rs.20,00,000 at that time (i.e. after 6 years). How much should he invest today if the offered interest rate is 14%?

6) A bank promises to pay Rs.20,000 after 4 years at 10% interest. How much will you deposit today?

7) Rajesh deposits Rs.15,000 with a bank at 9% interest compounded semi-annually. How much will he get after a period of 8 years?

8) Kiran deposits Rs.20,000 with a bank at 12% interest compounded quarterly. How much amount will he get after a period of 6 years?

9) Find the present value of Rs.75,000 to be received at the end of 4 years at 16% p.a. compounded semi-annually?

10) Find the present value of Rs.1,00,000 to be received at the end of 5 years at 12% interest compounded quarterly?

11) Bindal has invested Rs.5,00,000 in bank’s certificate of deposit for 5 years at 10% interest. How much will she get on maturity?

12) Sachin deposits Rs.2,50,000 with the bank which pays 12% interest compounded annually for a period of 4 years. How much will he get on maturity?

13) Find the present value of Rs.30,000 receivables after 5 years if the rate of interest is 11%?

14) Sandeep deposits Rs.30,000 with a bank at 10% interest compounded semi-annually. How much amount will he get after a period of 7 years?

15) Find the present value of Rs.40,000 to be received at the end of 4 years at 8% compounded quarterly

16) What is the present value of 5 years annuity of Rs.10,000 at 10% interest?

17) Mr. Ravi deposit Rs.25,000 annually in a bank for 5 years. The deposit earns 15% per annum. What is the Future value of this annuity at the end of 5 years?

18) Mr. Anand deposits Rs.10,000 annually in a bank for 5 years. The deposit earns 10% interest per year. What is the value of this annuity at the end of 5 the years?

19) Eight annual payments of Rs.8,000 are made into deposit account that pays 11% interest per year. What will be the future value of the annuity at the end of eight years?

20) Twelve equal annual payments of Rs.6,000 are made into a deposit account that pays 10% interest per year. What is the future value of this annuity at the end of 12 years?

21) Find out the present value of annuity of Rs.17,500 received annually for 6 years, when rate of interest is 10%.

22) What is the present value of a 3 years annuity of Rs.12,000 at 14% interest?

23) Find out the present value of annuity of Rs.1,00,000 for 6 years at 12% interest.

24) Mr.Keshav deposits Rs.2,00,000 annually in a bank for 6 years. The deposit earns 15% interest per year. What is the future value of this annuity at the end of 6 years?

25) Find the present value of annuity of Rs.2,50,000 received annually for 8 years, when rate of interest is 8%.

26) If a certain principal amount increases to Rs.6,500 in 3 years at a certain fixed rate of simple interest and Rs.7,500 in 5 years at the same rate of interest, then what is the rate of simple interest?

27) Chintamani took a loan of Rs.50,000 at a rate of 10% per annum at simple interest for 3 years and invested the money at the rate of 10% per annum for the same period, compounded annually. How much money did he gain or lose in the entire transaction?

28) A building worth Rs.13,31,000 is constructed on land worth Rs.7,29,000. After how many year will the value of both be the same, if the worth of the land appreciates at 10% per annum and that of the building depreciates at the rate of 10% per annum?

29) A bank let Rs.4,000 to Manoj at a certain rate of simple interest and Rs.5,000 to Aditi at simple interest at a rate which is 0.5 percentage points more than that of Manoj. After two years, the bank received Rs.860 as interest from both of them combined. Find the rate of interest per annum at which the amount was lent to Aditi?

30) If the principal is increased by Rs.250, the simple interest increases by Rs.150. if the time period is doubled, the simple interest increases by Rs. 1,500. Find the compound interest on the original principal, for half of the original time period at the same rate.

31) It takes n years, for Rs. 62,500 to amount to Rs. 1,08,000 at 20% per annum compounded annually. Find the value of n.

32) A sum of Rs.5,000 deposited by Mr. A at compound interest doubles after 6 years. What will be its value after 18 years?

33) The compound interest on a certain amount for two years is Rs.2,912 and the simple interest on the same amount is Rs.2,800. Find the principal amount.

34) The difference between the compound interest and the simple interest for 2 years on a certain sum at 10% rate of interest is Rs.850. find the principal.

35) A certain amount of money is lent out at compound interest at the rate of 20% per annum for two years, compounded annually. It would give Rs.241 more if the amount is compounded half yearly. Find the principal.

36) A sum of Rs. 12,615 is divided between a brother and sister who are 12 and 10 years old respectively, in such a way that if their portions are invested at the rate of 5% per annum compound interest, they shall receive equal amounts on reaching 21 years of age. How much money does the brother get initially?

37) A sum of money was borrowed such that the rate of simple interest was 10% per annum. At the end of the first year, Rs.6,500 was paid off and the rate of interest on the balance was increased to 12% per annum. If the interest for the second year was (3/4)th of the interest for the first year, what was the original sum borrowed?

38) After how many years approximately would the amount payable on loan be twice the principal, if the principal is lent at the rate of 20% per annum, compounded quarterly?

39) The population of country A on 1st Jan 2008 was 1 billion and it grows at the rate of 10% per year. The population of country B on the same date was 1.5 billion and it decreases at the rate of 10% per year. On 1st January of which year will country's population become more than that of country B?

40) Out of a world population of approximately 6.6 billion, 1.2 billion people live in the richer countries of Europe, America, Japan and this figure is growing at the rate of 25% per year, while the other 5.4 billion people live in the less developed countries and this figure is growing at the rate of 15%. What will be the world population in 5 years if we assume that these growth rates will stay constant for the next 5 years? (round answer to 3 significant digits)

41) Reena took a loan of Rs. 1,200 at simple interest for as many years as the rate of interest. if she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest ( in %) ?

42) A certain amount earns simple interest of Rs. 1,750 after 7 years. Had the interest been 2% more, how much more interest (in Rs.) would it have earned?

43) There is 60% increase in an amount in 6 years at simple interest. what will be the compounded interest of Rs. 12,000 after 3 years at the same rate?

44) Albert invested an amount of Rs. 8,000 in a fixed deposit scheme for 2 years at compound interest rate of 5%. what amount will Albert get on maturity of the fixed deposit

45) If the simple interest on a sum of money for 2 years at 5% per annum is Rs.50, what is the compound interest on the same sum at the same rate and for the same time?

46) The difference between simple and compound interest compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.)is:

47) The compound interest on Rs. 30,000 at 7% per annum is Rs. 4,347. The period (in years) is :

48) A car is bought new at Rs. 3,00,000 and its cost depreciates at 20 % per annum. what is the value of the car (in Rs.) after 4 years?

49) A colony of bacteria contains 25000 bacteria and it increases at 10% per hour. What is the count of bacteria 3 hours from now

50) The effective annual rate of compound interest corresponding to a compound interest rate of 6% per annum payable half- yearly is

51) A yearly payment to the servant is Rs.90 plus one turban. The servant leaves the job after 9 months and received Rs.65 and a turban. Then, find the price of the turban

52) Ram purchased a flat at Rs.1 lakh and Prem purchased a plot of land worth Rs.1.1 lakh. The respectively annual rates at which the prices of the flat and the plot increased were 10% and 5%. After two years, they exchanged their belongings and one paid the other the difference. Then

53) Ram purchased a flat at Rs.1 lakh and Prem purchased a plot of land worth Rs.1.1 lakh. The respectively annual rates at which the prices of the flat and the plot increased were 10% and 5%. After two years, they exchanged their belongings and one paid the other the difference. Then

54) A man invests Rs. 3000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum ?

55) The rate of inflation was 1000%. Then, what will be the cost of an article, which costs 6 units of currency now, 2 yrs from now ?

56) Find simple interest on Rs. 4000 for 5 year @ 6% P.C.P.A.

57) Find simple interest on Rs. 18,000 for 4 year @ 12% P.C.P.A.

58) Ramesh deposited Rs. 29400 for 6 year at simple interest. After 6 year he received Rs. 4200 as interest. The annual rate was

59) A sum of Rs. 800 amounts to Rs. 920 in 3 years at simple interest. If the interest rate is increased by 3%, it would amount to how much ?

60) A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 yeas. The sum is

61) A sum at simple interest amounts to Rs. 2500 in 2 years and Rs. 4000 in 5 years. Find the sum.

62) A sum of money amounts to Rs. 9800 after 5 years and Rs. 12,005 after 8 years at the same rate of simple interest. The rate of interest per annum is

63) If simple interest on a sum of Rs. 100 is Rs. 256 and the rate of interest per annum equals the number of years, then the rate of interest is

64) If the simple interest on Rs. 3000 is less than the simple interest on Rs. 2000 at 5% by Rs. 50, find the time ?

65) At what rate percent per Annum simple interest, a sum of money doubles itself in 20 years?

66) A sum of money is lent at S.I. for 8 years. If the same amount is paid at 5% higher, Ramesh would have got Rs. 100 more. Find the Principal?

67) A sum was put a simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched Rs. 72 more, the sum is

68) The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rates of interest is

69) A sum of Rs 1550 was lent partly at 5% and partly at 8% p.a. simple interest. The total interest received after 3 years was Rs. 300. The ratio of the money lent at 5% to that lent at 8% is

70) A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is

71) The simple interest on Rs. 1820 from March 9, 2003 to May 21, 2003 at 7.5 % rate will be

72) The sum of amount becomes 28 / 25 times of itself in 5 years. Then find the rate of interest P.C.P.A.

73) The simple interest is 1/9 of the principal. If rate of interest and period of time are equal then what is the annual rate of interest P.C.P.A.

74) Find the simple interest on Rs. 7500 at 11% for 2 years and 3 months.

75) Mr. Prakash borrowed a sum of Rs. 10,000 from a finance company for 6 years at 8% per annum. The amount returned by Mr. Prakash to the finance company is

76) The simple interest accrued in four years on a Principal of Rs. 18,000 is one fifteenth the principal. What is the rate of simple interest PCPA

77) A sum of Rs. 1550 was lent partly at 5% and partly at 8% simple interest. The total interest received after 3 years was Rs. 300. Find the amount lent on 5% per annum.

78) A certain sum is invested for T years. It amounts to Rs. 400 at 10% per annum. But when invested at 4% per annum, it amounts to Rs. 200, find the time (T).

79) David invested certain amount in three different schemes A, B and c with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, what was the amount invested in Scheme B ?

80) A man invests a certain sum of money at 6% per annum simple interest and another sum at 7% per annum simple interest. His income from interest after 2 years was Rs. 354. One-fourth of the first sum is equal to one-fifth of the second sum. The total sum invested was

81) `The interest on a certain deposit at 4.5% per annum is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% per annum?

82) A sum of money doubles itself in 7 years at simple interest in how many years it will become four fold ?

83) An automobile financier claims to be lending money at the simple interest, but he include the interest every six months for calculating the principal. If he is charging at interest of 10%, the effective rate of interest becomes

84) Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B, the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

85) In what time the sum of money becomes the 4 times of Principal at 15% ?

86) At what rate of interest the sum of amount doubles itself in 15 years ?

87) Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next 5 years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how money did he borrow?

88) How long will it take for a sum of money to grow from Rs. 1250 to Rs. 10,000, if it is invested at 12.5% p.a.simple interest ?

89) The simple interest is 5.12 of principal in 4 years then find the rate of interest.

90) The sum of amount Rs. 800 becomes 920 in 5 years at Simple Interest if the rate of interest increase by 3 percent then what will be the amount after 5 years ?

91) At certain rate of interest Rs. 400 becomes 460 in 3 years. If the rate of interest decrease by 3%, then what will be the amount after 3 years?

92) At what percent rate of interest Rs. 800 become 836 in 3/4 years?

93) Divide Rs.2379 into 3 parts so that their amount after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is

94) Rs. 6,000 lent out into two parts such that simple inteest on 1st part for 2 years @ 6% is equal to simple interest on 2nd part for 3 years @ 8% then find the second part.

95) Rs. 10,000 is divided into 2 parts. 1st part invest @ 4% and 2nd part invest @ 6% then annual interest from both part is 450 then find the 2nd part .

96) The sum of amount 7000 was lent out of rate 6% P.C.P.A.and remaining 4% PCPA if the total interest at the end of 5 years was 1600 then find out the sum of amount lent out 6%.

97) The rate of interest on a sum of money is 4% per annum for the first 2 years 6% per annum for the next 4 years and 8% per annum for the period beyond 6 years. If the simple interest accrued by the sum for the total period of 9 years is Rs. 11200. What is the sum ?

98) The price of a TV set worth Rs. 20,000 is to be paid in 20 installments of Rs. 1000 / each month. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be

99) A lends Rs. 2500 to B and a certain sum to C at the same time at 7% per annum simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C , then the sum lent to C is

100) What would be the compound interest accrued on an amount of Rs.8000 at the rate of 15 p.c.p.a in three years?.

101) What will be the compound interest accrued on an amount of Rs. 16,500/- @ 14 p.c.p.a. at the end of 3 years?

102) What will be the compound interest on a sum of Rs. 40,000 after 3 years at the rate of 11 p.c.p.a.?

103) What will be the compound interest obtained on sum of Rs. 12,000/- @ 8% per capita per annum for 2 years?

104) What would be the compound interest accrued on an amount of Rs. 7,400 @ 13.5 p.c.p.a. at the end of 2 years ? (rounded off to two digits after decimal)

105) What would be the compound interest obtained on an amount of Rs. 20,000 at the rate of 15 p.c.p.a. after 4 years?

106) A man gets a simple interest of Rs. 1,000 on a certain principal at the rate of 5 p.c.p.a. in 4 years. What is the compound interest?

107) Find the compound interest on a sum of amount of Rs. 4500 @ 8% p.c.p.a. for 2 years.

108) At the rate of -----% the sum of amount Rs. 5000 become 6298.56 in three years.

109) At what rate of interest certain sum of amount becomes 1.728 times in 3 years?

110) At what time a sum of amount of Rs. 4000 becomes 4630.50 @ of 5% P.C.P.A.?

111) A certain sum of amount on C.I. becomes 4800 in 4 years and 6000 in 8 years at same rate. Find the sum.

112) Find the compound interest on the sum of amount 12,000/- @ 8% P.C.P.A. for 1 year. Compound interest compounded half yearly.

113) Mr. Duggal invested Rs. 20,000 with 20% rate of interest. The interest compounded half yearly for the first year and yearly in the next year. What will be the total interest earned at the end of two years?

114) A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of the year. At the end of the year the amount he would have gained by way of interest is

115) The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Rs.1 . The sum (in Rs.) is

116) What will be compound interest obtained on sum of amount 50,000/- @ 40% P.C.P.A. for 1 year if compound interest compounded quarterly.

117) The difference between compound interest compounded annually and the simple interest on a certain sum of money at 10% p.a. for 2 years is Rs. 40/- find sum.

118) At a certain rate of interest p.a. the difference between the compound interest and simple interest on 5,000 for 2 years is 72. Find the rate of interest per annum.

119) There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?

120) Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4,000 for 2 years at 10% per annum. The sum placed on simple interest is

121) If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?

122) The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum compounded half-yearly is

123) What will be the compound interest on Rs. 10,000/- for 3 years. The rate of interest being 4% during first year, 5% during the second year and 6% during the third year.

124) The sum of amount becomes 3 times itself in 5 years. In how many years the amount will become 81 times itself on compound interest.

125) On a certain sum, simple interest and compound interest for 2 years are Rs. 400/- and Rs. 420/- respectively. Find annual rate of interest.

126) The amount on the sum of the principal amount 625/- @ 20% P.C.P.A. for a certain period of time is 1296 find the period of time.

127) The sum of amount double itself in 4 yrs. In how many years the amount is 8 times itself on CI.

128) The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time and at half the rate per annum is :

129) Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. . How much amount will Albert get on maturity of the fixed deposit?

130) The C.I. accrued in 2 years on principal of Rs. 16,250/- is 5616. What is the rate of interest P.C.P.A.?

131) The C.I. accrued in two years on a principal of Rs. 15,800/- is 7716.72, what is the rate of interest P.C.P.A.?

132) What is the difference between S.I. and C.I. incurred on amount of 12,000/- at the end of 3 years at the rate of 12%?

133) A man borrowed an amount of Rs. 12,500 to bank @ 20% on C.I., he pay installment of Rs. 2000 in every year after 3 installment how much amount will remain?

134) At what rate certain sum of amount becomes 27 times itself in 3 years?

135) The income of a man is 8000. If it is decreased by 10% in first year and 5% in second year but increased by 15% in third year Find the income of man after 3 years.

136) The difference between C.I. and S.I. accrued on an amount at the end of 3 years @ 15% is Rs. 453.6, what is the sum?

137) The difference between the compound interest and simple interest accrued on an amount at the end of 3 year @ 12% is 381.888, what is the amount ?

138) Simple interest on certain sum of amount for 3 years @ 8% P.A. is half the compound interest on Rs. 4000 for 2 years @ 10% P.A.. The sum of simple interest is

139) Manish earns an amount of Rs. 1656 for the third year and Rs. 1440 for the second year on the same sum. Find the rate of interest if it is lent at compound interest.

140) A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% compound interest. The sum borrowed was

141) A man borrow a sum of amount Rs. 8200 @ of 5% on C.I. for two years. If he wants to pay in equal installments, find the annual installment.

142) A man borrows a certain sum of amount on C.I. at the rate of 10% P.C.P.A. for 3 years and he pays 3 equal annual installments of Rs. 1331. What is the sum?

143) What will be the amount on Rs. 10,000 for 3 years the rate of interest 4% in 1st year, 5% during the second year and 6% during the third year.

144) Difference between the SI and CI on certain sum of money for 3 year@ 10% PCPA is 713 then what is the sum of amount.

145) Vibhor borrows Rs. 65,000 at 10% per annum simple interest for 3 years and lends it at 10% per annum compound interest for 3 years. Find his gain after three year.

146) The amount charged for a defined length of time for use of the principal, generally on a yearly basis is known as -

147) The principal remains constant for the whole loan period in -

148) Interest computed on the principal for the entire period of borrowing is called -

149) Simple Interest on Rs.3,500 for 3 years at 12% p.a. is

150) The simple interest on Rs.1,500 for 6 years at 5 % p.a. is -

151) The sum required to earn a monthly interest of Rs.1,200 at 18% p.a. Simple Interest is -

152) What will be the final value of investment for the principal value of Rs. 80,000 for 4 years @ 10% p.a. rate of interest?

153) Sachin deposited Rs.1,00,000 in his bank for 2 years at simple interest of 6%. How much interest would he earn? How much would be the final value of deposit?

154) If Rs.1,600 amounts to Rs.2,100 is 5 years at a certain rate of simple interest. If the rate of interest is increased by 1 % it would amount to how much?

155) In what time will Rs. 85,000 amount to Rs.1,57,675 at 4.5% p.a?

156) Rs.3,52,000 will produce Rs. 28,600 interest in - years at 2.5% p.a. simple interest.

157) A sum of money doubles itself in 10 years. The number of years it would trebles itself is -

158) A sum of money doubles itself in 25 years. The number of years it would trebles itself is -

159) A person borrowed Rs.4,000 and after 6 months the amount paid was Rs.4,050. Find the rate of interest.

160) Rs.80,000 is invested to earn a monthly interest of Rs. 1,200 at the rate of — p.a. SI.

161) A Sum of Rs.46,875 was lent out at simple interest and at the end of 1 yr and 8 months, the total amount was Rs.50,000. Find the rate of interest.

162) A sum doubles itself in 10 years. Find interest rate.

163) If a sum triples in 15 yrs at Simple rate of interest then the rate of interest per annum will be

164) If the interest on Rs.2,400 be more than the interest on Rs.2,000 by Rs.64 in 4 years, rate of interest is -

165) A certain sum of money at simple interest amounts to Rs.2,800 in 2 years and to Rs.3,220 in 5 years. The rate of interest p.a. is -

166) Find out the capital required to earn a monthly interest of Rs.800 p.m. at 5 % at simple interest?

167) A sum was put at simple interest, at a certain rate for 3 years. Had it been put at 1 % higher rate it would have fetched Rs.63 more. The sum is -

168) A sum of money that will give Rs. 1, as interest per day at 10 % p.a. simple interest is -

169) A sum of money amounts to Rs.795 in 4 years and Rs.850 in 5 years. The sum is

170) A sum of money amount to Rs.6,200 in 2 years and Rs.7,400 in 3 years. The principal and rate of
interest are:

171) A sum of money amounts to Rs. 7,803 for one year at the rate of 4% compounded semiannually then the sum invested is

172) A sum of money kept in a bank amounts to Rs.1,000 in 4 years and Rs.1,400 in 12 years. The sum and interest carried every year are -

173) No. of years a sum 4 times itself at 12% pa at simple interest:

174) A sum of money will be doubled itself in 8 years at S.I. In how many years the sum will be tripled itself?

175) A sum of 44,000 is divided into 3 parts such that the corresponding interest earned after 2 years, 3 years and 6 years may be equal at the rate of simple interest are 6% p.a., 8% p.a., & 6% p.a. respectively. Then the smallest part of the sum will be:

176) Find the equation of the line parallel to the line joining (7,5) (2,9) and passing through (3, -4)

177) A certain sum of money was invested at S.I for 3 years. If it has invested at rate 7% higher, then the interest have been 882/- more, then the sum is

178) The difference between the final amount and the original principal is called the -

179) In the formula A = P + I, A is known as -

180) The principal goes on changing every year in -

181) Rs.10,000 is invested at annual rate of interest of 10%. The amount after two years at annual compounding is -

182) Rs.100 will become after 20 years at 5% p.a. compound interest calculated annually -

183) Rs.7,500 is invested at 5 % compound interest for 2 years. The interest for the second year is -

184) The C.L on Rs.16,000 for 11/2 years at 10% p.a. payable half-yearly is -

185) The compound interest on half-yearly rests on Rs.10,000 the rate for the first and second years being 6% and for the third year 9% p.a is -

186) The compound interest on half-yearly rests on Rs.10,000 the rate for the first and second years being 6% and for the third year 9% p.a is -

187) Compute the compound interest on Rs.4,000 for 11/2 years at 10% p.a. compounded half-yearly.

188) Rs.2,000 is invested at annual rate of interest of 10% p.a. The amount after two years if compounding is done half yearly, is -

189) The C.I on Rs.40,000 at 10% p.a. for 1 years when the interest is payable quarterly is -

190) The C.I on Rs.4,000 for 6 months at 12% p.a. payable quarterly is -

191) Rs. 3,000 is invested at annual rate of interest of 10% p.a. The amount after two years if compounding is done quarterly, is -

192) The compound interest on Rs.1,000 for 10 years at 4% p.a. the interest being paid quarterly is -

193) Rs. 4,000 is invested at annual rate of interest of 10% p.a. The amount after two years if compounding is done monthly, is -

194) The Partners A& B together lent Rs. 3903 at 4% p.a interest compounded annually. After aspan of 7 years, A gets the same amount as B gets after 9 years. The share of A in the sum of Rs. 3903/- would have been

195) Rs.2,000 is invested at 10% p.a. What is the amount after 2 yrs if compounding is done (a) Annually (b) Semi-Annually (c) Quarterly (d) Monthly

196) If A = Rs.1000 n = 2 years R = 6% p.a compound interest payable half-yearly then principal (P) is -

197) If A = Rs. 10,000 n = 18 yrs R = 4% p.a C.I, P will be -

198) On what sum will the compound interest at 5% p.a. for 2 yrs compounded annually be Rs.1,640?

199) The compound interest on a certain sum for 2 years is Rs.41.60 and the simple interest is Rs.40. Find the sum.

200) The difference in simple interest and compound interest on a certain sum of money in 2 years at 15% p.a. is Rs.144. The sum is -

201) The difference between the simple interest and compound interest on a certain sum of money invested for 2 years 5% p.a. is Rs. 30. Then the sum =

202) The compound interest on a certain sum for 2 years is Rs.41 and the simple interest is Rs.40. Find the interest % p.a.

203) A sum of money put at compound interest amount to Rs.2,205 in 2 years and to Rs.2,315.25 in 3 years. Find the interest % p.a.

204) If the sum of money when compounded annually becomes Rs. 1,140 in 2 years and Rs. 1,710 in 3 years, the Rate of Interest is

205) At what rate % will a sum double itself in 7 years if the interest is compounded annually.

206) For a 10-year deposit, what interest rate payable annually is equivalent to 5% interest payable quarterly?

207) Find the rate, if Rs.2,00,000 amount to Rs.2,31,525 in 11/2 year interest being compounded half-yearly.

208) A sum of money yields at compound interest Rs.200 and Rs.220 at the end of first and second year respectively. The rate % is -

209) At what rate per cent compound interest does a sum of money becomes four fold in 2 years?

210) In how many years will a sum of money double at 5% p.a. compound interest?

211) In how many years a sum of money treble at 5% p.a. compound interest payable on half-yearly rests?

212) In what time will Rs.8,000 amount to Rs.8820 at 5% p.a. interest compounded half-yearly?

213) Rs.16,000 invested at 10% p.a. compounded semiannually amounts to Rs.18,522. Find the time period of investment.

214) In what time will a sum of Rs.800 at 5% p.a. compound interest amount to Rs.882?

215) The time by which a sum of money would treble itself at 8% p.a Cl is -

216) A sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?

217) In how many years a sum will double at 10% p.a. compound interest?

218) A sum of money triples itself in 20 years. The number of years it would double itself. (C.I) -

219) The population of a town increases every year by 2% of the Population at the beginning of that year. The number of years by which the total increase of population be 40% is -

220) The annual birth and death rates per 1,000 are 39.4 and 19.4 respectively. The number of years in which the population will be doubled assuming there is no immigration or emigration is -

221) Saina deposited Rs.1,00,000 in a nationalized bank for three years. If the rate of interest is 7% p.a. Calculate the interest that bank has to pay Saina after 3 yrs if interest is compounded annually. Also calculate the amount at the end of the third year.

222) The difference between the S.I. and the C.I. on Rs.2,400 for 2 years at 5% p.a is -

223) The difference between compound and simple interest at 5% p.a for 4 years on Rs.20,000 is -

224) The difference between CI and SI on a certain sum for 2 years at 6% p.a. is Rs.13.50. Find the sum.

225) The difference between Cl and SI on a certain sum of money for 2 years at 4% p.a. is Rs. 1. The sum is

226) The difference between SI and Cl on a certain sum for 3 years at 5% p.a. is Rs.76.25. Find the sum.

227) The compound interest on a certain sum of money for 2 years at 10 % p.a. is Rs.420. find the simple interest at the same rate and for the same time.

228) Appu retires at 60 years receiving a pension of Rs. 14,400 a year paid in half-yearly installments for rest of his life after reckoning his life expectation to be 13 yrs and that interest at 4% p.a is payable half yearly. What single sum is equivalent to his pension?

229) The present value of Rs.10,000 due in 2 years at 5% p.a. compound interest when the interest is paid on yearly basis is -

230) What is the present value of Rs. 1 to be received after 2 years compounded annually at 10%?

231) A person invested money in bank paying 6% Compounded semi annually. If the person expects to receive Rs.8,000 in 6 years, what is the present value of investment?

232) A loan of Rs.10,000 is to be paid backing 30 equal installments. The amount of each installation to cover the principal and at 4% p.a. Cl is -

233) The present value of annuity of Rs.5,000 p.a. for 12 years at 4% p.a. C.I. annually is -

234) The present value of an annuity of Rs.80 a years for 20 years at 5% p.a is -

235) Find the present value of an ordinary annuity of 8 quarterly payments of Rs.500 each, the rate of interest being 8% p.a. compound quarterly.

236) A company borrows Rs.10,000 on condition to repay it with compound interest at 5% p.a. by annual installments of Rs.1,000 each. The number of years by which the debt will be clear is -

237) Mr. Paul borrows Rs.25,000 on condition to repaid it with C.I. at 7% p.a. in annual installments of Rs.3,000 each. The number of years for the debt to the paid off is -

238) Suppose your mom decides to gift you Rs.10,000 every year starting form today for the next 5 years. You deposit this amount in a bank as and when you receive and get 10% p.a. interest rate compounded annually. What is the present value of this annuity?

239) Raja aged 40 wished his wife Rani to have Rs.40 Lakhs at his death. If his expectation of life is another 30 years and he starts making equal annual investments commencing now at 3% compound interest p.a. how much should he invest annually?

240) How much amount is required to be invested every year so as to accumulate Rs.3,00,000 at the end of 10 years if interest is compounded annually at 10%?

241) A person desires to create a fund to be invested at 10% C I p.a. to provide for a prize of Rs.300 every years. Using V = A /I find V and V will be

242) A sinking fund is created for reducing debentures worth Rs.5 Lakhs at the end of 25 years. How much provision needs to be made out of profits each year provided sinking fund investments can earn interest at 4% p.a?

243) A machine is depreciated the rate of 20% on reducing balance.The original cost of the machine was Rs.1,00,000and its ultimate scrap value was Rs.30,000. The effective life of the machine is -

244) A machine the useful life of which is estimated to be 10 years cost Rs.10,000. Rate of depreciation is 10% p.a. The scrap value at the end of its life is -

245) A machine worth Rs.4,90,740 is depreciated at 15% of its opening value each year. When its value would reduce by 90%?

246) A machine costs Rs.5,20,000 with an estimated life of 25 years. A sinking fund is created to replace it by a new model at 25%m higher cost after 25 years with a scrap value realization of Rs.25,000. What amount should set aside every year if the sinking fund investments accumulate at 3.5% compound interest p.a?

247) A machine for which the useful life is estimated to be 5 years cost Rs. 5,000. Rate of depreciation is 10% p.a. The scrap value at the end of its life is -

248) A machine depreciates at 10% of its value at the beginning of a year. The cost and scrap value realized at the time of sale being Rs.23,240 and Rs.9,000 respectively for how many years the machine was put to use?

249) A machine worth Rs.4,90,740 is depreciated at 15% of its opening value each year. When its value would reduce to Rs.2,00,000?

250) A person bought a house paying Rs.20,000 cash down and Rs.4000 at the end of each years for 25 yrs. At 5% p.a C.I. The cash down price is -

251) A man purchased a house valued at Rs.3,00,000. He paid Rs.2,00,000 at the time of purchase and agreed to pay the balance with interest at 12% p.a. compounded half yearly in 20 equal half yearly installments. If the first installment is paid after six months from the data of purchase then the amount of each installment is [Given Log10.6 = 1.0253 and log 31.19 = 1.494]

252) ABC Ltd wants to lease out an asset costing Rs.3,60,000 for a 5 year period. It has fixed rental of Rs.1,05,000 p.a. payable annually starting from the end of first year. Suppose rate of interest is 14% p.a. compounded annually on which money can be invested by the company. Is this agreement favourable to the company?

253) A machine with useful life of 7 years cost Rs.10,000 while another machine with useful life of 5 yrs costs Rs.8,000. The 1st machine saves labour expenses of Rs.1,900 annually and the second one saves labour expenses of Rs.2,200 annually. Determine the preferred course of action. Assume cost of borrowing as 10% compounded p.a. [Decision, PV of cost savings]

254) A machine can be purchased for Rs.50,000. Machine will contribute Rs.12,000 p.a. for the next 5 years. Assume borrowing cost is 10% p.a. compounded annually. Determine whether machine should be purchased or not?

255) An investor intends purchasing a three year Rs. 1,000 par value bond having nominal interest rate of 10%. At what price the bond may be purchased now if it matures at par and the investor requires a rate of return of 14%?

256) A 6 year bond of Rs.1,000 has an annual rate of interest of 14%. Interest is paid half-yearly. If required rate of return is 16%, what is the value of the bond?

257) P Ltd has to make payment of Rs.20 Lakhs in 60 days. The company has decided to invest in CDs of a leading Nationalised Bank at 8% p.a. What money is required to be invested now?

258) A money market instrument with face value of Rs.100 and discount yield of 6% will mature in 45 days. Compute the current price of the instrument and effective annual return.

259) Rs. 8000 becomes Rs. 10,000 in two years at simple interest. The amount that will become Rs. 6,875 in 3 year at the same rate of interest is:

260) The difference between the simple and compound interest on a certain sum of 3 years at 5% p.a. is Rs. 228.75. The compound interest on the sum for 2 years at 5% p.a. is:

261) The rate of simple interest on a sum of money is 6% p.a. for first 3 years, 8% p.a. for the next five years and 10% p.a. for the period beyond 8 years. if the simple interest accrued by the sum for a period for 10 years is Rs. 1,560. The sum is:

262) In what time will Rs. 3,90,625 amount to Rs. 4,56,976 at 8% per annum, when the interest is compounded semi-annually?

263) A certain sum of money amounts to Rs. 6,300 in two years and Rs. 7,875 in three years nine months at simple interest. Find the rate of interest per annum:

264) If Rs. 1,000 be invested at interest rate of 5% and the interest be added to the principle every 10 years, then the number of years in which it will amount to Rs. 2,000 is:

265) The effective rate equivalent to nominal rate of 6% compounded monthly is:

266) A company establishes a sinking fund to provide for the payment of Rs. 2,00,000 debt maturing in 20 years. Contributions to the fund are to be mad e at the end of every year. Find the amount of each annual deposit if interest in 5 % per annum:

267) A person deposited Rs. 5,000 in a bank. The deposit was left to accumulate at 6% compounded quarterly for the first five years and at 8% compounded semi-annually for the next eight years. The compound amount at the end of 13 years is:

268) Anshul's father wishes to have Rs. 75,000 in a bank account when his first college expanses begin. How much amount his father should deposit now at Anshul is to start college in 8 years hence from now?

269) A company may obtain a machine either by leasing at for 5 years(useful life) at an annual rent of Rs. 2,000 or by purchasing the machine for Rs. 8,100. if the company can borrow money at 18% per annum, which alternative is preferable?

270) In how much time would the simple interest on a certain sum be 0.125. times the principle at 10% per anuum?

271) The difference between compound? interest and simple interest on a certain for 2 years @ 10% p.a. is Rs. 10. Find the sum:

272) If the difference between simple interest and compound interest is Rs. 11 at the rate of 10% for two years, then find the sum.

273) Future value of an ordinary annuity:

274) In how many years, a sum will become double at 5% p.a. compound interest.

275) The time by which a sum of money is 8 times of itself if it doubles itself in 15 years.

276) What is the rate of simple interest if a sum of money amounts to Rs. 2,784 in 4 years and Rs. 2,688 in 3 years?

277) A sum amount to Rs. 1,331 at a principle of Rs. 1,000 at 10% compounded annually. Find the time.

278) Paul borrows Rs. 20,000 on condition to repay it with compound interest at 5% p.a. in annual installment of Rs. 2,000 each. Find the number of years in which the debt would be paid off .

279) The compound interest for the certain sum @ 5% p.a. for first years is Rs. 25. The S-I for the same money @ 5% p.a. for 2 years will be.

280) At what % rate of compound interest (C.I.) will a sum of money become 16 times in four years, if interest is being calculated compounding annually:

281) If the simple interest on a sum of money at 12% p.a. for two years is Rs. 3,600. The compound interest on the same sum for two years at the same rate is:

282) The cost of Machinery is Rs. 1,25,000/- if its useful life is estimated to be 20 years and the rate of depreciation of its cost is 10% p.a., then the scrap value of the Machinery is:

283) Mr. X invests 'P' amount at Simple interest 10% and Mr. Y invests 'Q' amount at Compound interest rate 5% compounded annually. At the end of two years both get the same amount of interest, then the relation between two amounts P and Q is given by:

284) If the difference of S.I. and C.I. is Rs. 72 at 12% for 2 years. Calculate the amount.

285) If a simple interest on a sum of money at 6% p.a. for 7 years is equal to twice of simple interest on another sum for 9 years at 5% p.a. The ratio will be:

286) By mistake a clerk, calculated the simple interest on principal for 5 months at 6.5% p.a. Instead of 6 months at 5.5% p.a. if the error in calculation was Rs. 25.40. The original sum of principal was . . . . .

287) If the Simple interest on Rs. 1,400 for 3 years is less than the simple interest on Rs. 1,800 for the same period by Rs. 80%, then the rate of interest is:

288) Simple interest on Rs. 2,000 for 5 months at 16% p.a. is . . . . . .

289) How much investment is required to yield an income of Rs. 420 at 7% p.a. Simple interest .

290) Mr. X invests Rs. 90,500 in post office at 7.5% p.a. simple interest. While calculating the rate was wrongly taken as 5.7 p.a. the difference in amounts at maturity is Rs. 9,774. Find the period for which the sum was invested:

291) On what difference between compound interest and simple interest for two years at 7% p.a. interest is Rs. 29.4

292) In what time will a sum of money double its its y at 6.25% p.a. simple interest?

293) What principal will amount to Rs. 370 in 6 years at 8% p.a. at simple interest?

294) The partners A and B together lent Rs. 3,903 at 4% per annum interest compounded annually. After a span of 7 years, A gets the same amount as B gets after 9 years. The share of A in the sum of Rs. 3,903 would have been:

295) A sum of money invested of compound interest doubles itself in four years. It becomes 32 times of itself at the same rate of compound interest in

296) Suppose your parent decides to open a PDF (Public Provident Fund) account in a bank towards your name with Rs. 10,000 every year starting from today for next 15 years. when you receive and get 8.5% per annum interest rate compounded annually. What is the present value of this annuity? (Give answer in Rs. without any fraction.) (Given P (15.0.085) = 8.304236576)

297) In how many years will a sum of money become four times at 12% p.a. simple interest?

298) The simple interest for a certain sum for 2 years at 10% per annum is Rs. 90. The corresponding compound interest is (In Rs.):

299) Mr. X bought an electronic item for Rs. 1,000. What would be the future value of the same item after 2 years, if the value is compounded semi-annually at 22% pr annum?

300) If an amount is kept at simple interest, it earns an interest of Rs. 600 in first two years but when kept at compound interest it earns an interest of Rs. 660 for the same period , then the rate of interest and Principal amount respectively are:

301) A compound interest on a sum for 2 years is Rs. 30 more than the simple interest at the rate of 5% per annum then the sum is

302) A person lends Rs. 6,000 for 4 years and Rs. 8000 for 3 years at simple interest . if he gets Rs. 2,400 as total interest, the rate of interest is:

303) The difference between the compound interest and simple interest at 10% per annum for 4 years on Rs. 10,000 is Rs. . . . . . .

304) How much amount is required to be invested every year as to accumulate Rs. 7,96,870 at the end of 10 years, if interest compounded annually at 10% (given that A (10, 0.1) = 15.9374?

305) If compound interest on any sum at the rate of 5% for two years is Rs. 512.50 then the sum would be:

306) The effective rate of interest equivalent to the nominal rate of 7% converted monthly:

307) Mr. X invest Rs. 10,000 every year starting from today for next: 10 years suppose interest rate is 8% per annual compounded annually. Calculate future value of the annuity.

308) If Rs. 1,000 be invested at interest at interest rate of 5% and the interest be added to the principal every 10 years, than the number of years in which it will amount to Rs. 2,000 is:

309) A bank pays 10% rate of interest, interest being calculated half yearly . A sum of Rs. 400 is deposited in the bank. The amount at the end of 1 year will be:

310) A man deposited Rs. 8,000 in a bank for 3 years at 5% per annum compound interest, 3 years he will get:

311) If in two years time a principal of Rs. 100 amounts to Rs. 121 when the interest at the rate of r% is compounded annually, the the value of r will be:

312) A certain sum of Q was deposited for 5 year and 4 months at 4.5% simple interest and amounted to Rs. 248, the the value of Q is:

313) If compound interest on a sum for 2 years at 4% per annum is Rs. 102, then the simple interest on the same sum for the same period at the same rate will be:

314) A man invests an amount of Rs. 15,860 in the names of his three sons A, B and C in such a way that they get the same amount after 2, 3 and 4 years respectively. if the rate of interest is 5%, then the ratio of amount invested in the name of A, B and C is:

315) If the difference between the compound interest compounded annually and simple interest on a certain amount at 10% per annum for two years is Rs. 372, then the principal amount is:

316) What is the net present value of piece of property which would be valued at Rs. 2 lakh at the end of 2 year? (Annual rate of increase? = 5%)

317) The effective rate of interest for one year deposited corresponding to a nominal 7% rate of interest per annum convertible quarterly is:

318) How much will Rs. 25,000 amount to in 2 years at compound interest if the rates for the successive years are 4% and 5% per year

319) Rs. 8,000/- at 10% per annum interest compounded half yearly will become at the end of one year:

320) The value of furniture depreciates by 10% a year, if the present value of the furniture in an office is Rs. 21,870. calculate the value of

321) The certain sum of money became Rs. 692/- in 2 yrs and Rs. 800/- in 5 yrs then the principle amount is ________.

322) A sum of money amount to Rs. 6,200 in 2 years and Rs. 7,400 in 3 years as per S.I then the principal is

323) A sum was invested for 3 years as per C.I and the rate of interest for 1st year is 9%, 2nd year 6% and 3rd year is 3% p.a. respectively. Find the sum if the amount in 3 years is Rs. 550?

324) The effective rate of interest does not depend upon

325) A person wants to lease out a machine costing Rs.5,00,000 for a 10 year period. It has fixed a rental of Rs.51,272 per annum payable annually starting from the end of first year. Suppose rate of interest is 10% per annum compounded annually on which money can be invested. To whom this agreement is favourable?

326) Let a person invest a fixed sum at the end of each month in an account paying interest 12% per year compounded monthly. If the future value of this annuity after the 12th payment is Rs.55,000 then the amount invested every month is?

327) Determine the present value of perpetuity of Rs.50,000 per month @ rate of interest 12% p.a is __________

328) A man invests Rs.12,000 at 10% p.a and another sum of money at 20% p.a for 1 year. The total investment earns at 14% p.a simple interest the total investment is:

329) The different in simple interest of a sum invested of Rs. 1,500 for 3 years is Rs.18. The difference in their rates Is:

330) Find the effective rate of interest on Rs. 10,000 on which interest is payable half yearly at 5% p.a.

331) Find the effective rate of interest at 10% p.a when interest is payable quarterly.

332) What will be the population after 3 years when present population is Rs.25,000 and population increased at the rate of 3% in I year, at 4% in II year and 5% in III year?

333) The value of scooter is Rs10,000 find its value after 7 years if rate of depreciation is 10% p.a.

334) SI=0.1225 P at 10% p.a find time.

335) Scrap value of a machine valued at Rs.10,00,000 after 10 years within depreciation at 10% p.a:

336) The difference between CI and SI for 2 years is 21. If rate of interest is 5% find principal

337) Present value of a scooter is Rs.7,290 its value decreases every year by 10% then its value before 3 years is equal to:

338) On what sum will the compound interest at 5% p.a. for 2 yrs compounded annually be Rs.3,280.

339) An amount P becomes Rs.5,100.5 and Rs.5,203 after 2nd and 4th years respectively at 1% of interest per annum compounded annually thus value of P and R are:

340) A certain sum invested at 4% p.a compounded semi-annually amounts to Rs.1,20,000 at the end of 1 year. Find the sum:

341) A 5 year annuity due has periodic cash flow of Rs.100 each year. If the interest rate is 8% the future value of this annuity is given by:

342) Find the compound interest if an amount of Rs.50,000 is deposited in a bank for one year at the rate 8% p.a compounded semi-annually.

343) Which of the following statements is True? (assume than the yearly cash flow? Are identical for both annuities)

344) Rs.2500 is paid every year for 10 years to pay off a loan. What is the loan amount if interest rate be 14% p.a compounded annually?

345) What sum of money will produce Rs.42,800 as an interest 3 years and 3 months atb 2.5% p.a simple interest?

346) The ratio of principal and the compound interest value for 3 years is 216: 127. The rate of interest is:

347) A stock pays annually an amount pf Rs.10 from 6th year onwards. What is the present value of the perpetuity if the rate of return is 20%

348) A certain sum amounted to Rs.575 at 5% in a time in which Rs 750 amounted to Rs.840 at 4%. If the rate of interest is simple, find the sum

349) Find the amount of compound interest, if an amount Rs.50,000 is deposited in a bank for one year at the rate of 8% p.a compounded semi annually.

350) Two equal amounts of money are deposited in two different banks each at 15% p.a fix 3.5 year in the bank and fix 5 years in the either. The difference between the interest amount from the bank in Rs.144. Find the sum

351) The simple on sum at 4% p.a for 2 years is Rs.80. Find the CI on the came sum for the same period.

352) Which is better investment 9% p.a compounded quarterly or 9.1% p.a simple interest?

353) Assuming that the discount rate is 7% p.a how much would pay to receive Rs.200 growing at 5% annually for ever?

354) A man invested 1/3rd of his capital at 7% 1/4th at 8% and remainder art 10%. If the annual income is Rs. 561. The capital is

355) Rs.800 is invested at the end of each month in an account paying interest 6% p.a compounded monthly. What is the future value of this annually after 10th payment?

356) What 'I' denote the actual rate of interest in decimal, and n denote the number of conversion periods, the formula for computing the effective rate of interest E is given by.

357) The present value of an annuity immediate is the same as

358) The effective rate of return for 24% p.a convertible monthly is given as:

359) If discount rate is 14% p.a, then hour much a company has to pay to receive Rs280 growing at 9% annually forever?

360) If the nominal rate of growth is 17% and inflation is 9% for the 5 years. Let P be the gross domestic product (GDP) amount at the present year then the projected real GDP after 6 years is:

361) A sum of Rs.7,500 amounts to Rs.9,075 at 10% p.a., interest being compounded yearly in a certain time. The simple interest (in Rs.) on the same sum for the same time and the same rate is:

362) A loan of Rs.1,02,000 is to be paid back in 2 equal annual installments. If the rate of interest is 4% p.a compounded annually, then the total interest charged (in Rs.) under this installment plan is:

363) If a person bought house by paying Rs. 45,00,000 down payment and Rs.80,000 at the end of each year till the perpetuity. Assuming the rate of interest as 16% the present value of house (in Rs.) is given as:

364) A sum of money is put at 20% compound interest rate p.a at which year the aggregated amount just exceeds the double of the original sum?

365) An amount is lent at R% simple interest for R years and the simple interest amount was 1/4 th of the principal amount. Then R is _______.

366) A company needs Rs.10,000 in 5 years to replace as equipment. How much should be invested now at an interest rate of 8% p.a in order to provide for this equipment?

367) Rahul invested Rs.70,000 in bank at the rate of 6.5% p.a simple interest rate. He received Rs.85,925 after the end of term. Find out the period for which sum was invested by Rahul.

368) Mr. X wants to accumulate Rs.50,00,000 at the end of 10 years. Then how much amount is required to be invested every year if interest is compounded annually at 10% (Given that P(10,0.10)=15.9374298)

369) A sum of Rs. x amounts to Rs.27,900 in 3 years and to Rs.41,850 in 6 years at a certain rate percent p.a, when the interest is compounded yearly. The value of x. is:

370) The future value of annuity of Rs.2,000 for 5 years at 5% compounded annually is given (in nearest Rs.) as:

371) A certain sum amounts to Rs.15,748 in 3 years at simple interest at r% p.a The same sum amounts to Rs.16,510 at ( r+2)% p.a. simple interest in the same time. What is the value of r?