1. A sum of money triple itself in 20 years then, find the rate of simple interest. (a) 10% (b) 15% (c) 20% (d) 25%

2. At an annual simple interest rate of \(X\%\), the interest on \(Y\) taka for \(Z\) months will be. (a) \(\cfrac{XYZ}{1200}\) rupees (b) \(\cfrac{XYZ}{100}\) rupees (c) \(\cfrac{XYZ}{200}\) rupees (d) 0\(\cfrac{XYZ}{120}\)rupees

3. At an annual simple interest rate of 6%, the interest for 5 months is \(\cfrac{x}{10}\) rupees. What will the principal be? (a) ₹ 2x (b) ₹ 4x (c) ₹ 10x (d) ₹ 20x

4. At an annual simple interest rate of 5%, what amount of principal will yield a monthly interest of 1 rupee? (a) ₹ 120 (b) ₹ 200 (c) ₹ 240 (d) ₹ 20

5. If a certain principal amount triples in 15 years at simple interest, then the annual rate of simple interest will be — (a) \(13\frac{1}{3}\%\) (b) \(12\frac{1}{3}\%\) (c) \(11\frac{1}{3}\%\) (d) \(10\frac{1}{3}\%\)

6. If a principal amount doubles in 10 years, what will be the annual simple interest rate ? (a) 5% (b) 10% (c) 15% (d) 20%

7. At an annual interest rate of 5%, for how many years will the interest on 300 rupees amount to 120 rupees? (a) 4 (b) 8 (c) 12 (d) 12\(\frac{1}{2}\)

8. If the total interest on a principal amount in 4 years is \(\cfrac{1}{5}\) of the principal, the annual rate of interest is: (a) 4% (b) 5% (c) 10% (d) 20%

9. At an annual simple interest rate of 10%, if the interest for 5 years is x rupees, then the principal amount: (a) ₹ 2x (b) ₹ 4x (c) ₹ 10x (d) ₹ 20x

10. If \(\cfrac{1}{20}\) of a principal is the annual interest, the simple interest rate will be: (a) 4% (b) 5% (c) 10% (d) 8%

11. If \(\cfrac{1}{20}\) of a principal amount is the annual interest, then the interest rate will be. (a) 4% (b) 5% (c) 10% (d) 8%

12. A principal amount doubles in 20 years at a certain simple interest rate. At the same rate of simple interest, the time required for the principal to become three times will be: (a) 30 Years (b) 35 Years (c) 40 Years (d) 45 Years

13. By depositing some money in a bank, the amount becomes ₹1107.60 after 7 years and ₹1248 after 10 years. What was the original amount deposited in the bank? (a) ₹ 700 (b) ₹ 800 (c) ₹ 680 (d) ₹780

14. If the total amount becomes 966 rupees at an annual simple interest rate of 3% in 5 years, the principal amount will be - (a) 480 rupees (b) 408 rupees (c) 404 rupees (d) 840 rupees

15. At an annual simple interest rate of \(x\%\), if the interest on a principal in \(x\) years is \(x\) rupees, then the amount of the principal is – (a) \(x\) rupees (b) \(100x\) rupees (c) \(\cfrac{100}{x}\) rupees (d) \(\cfrac{100}{x^2}\) rupees

16. At an annual simple interest rate of \(r\%\), if the total interest on a principal for \(n\) years is \(\cfrac{pnr}{25}\) rupees, then the amount of the principal is – (a) \(2p\) rupees (b) \(4p\) rupees (c) \(\cfrac{p}{2}\) rupees (d) \(\cfrac{p}{4}\) rupees

17. If a principal amount doubles in 4 years, the annual interest rate will be – (a) 8% (b) 12\(\dfrac{1}{2}\)% (c) 15% (d) 10%

18. ₹1200 is lent at an annual interest rate of 6\(\frac{1}{4}\)% and ₹1000 is lent at an annual interest rate of 4\(\frac{1}{3}\)% on the same day. After how much time will the amounts (principal + interest) of both loans become equal? (a) 20 years (b) 24 years (c) 15 years (d) 30 years

19. If the interest on a principal for 5 years is \(\cfrac{1}{4}\) of the principal, then the annual interest rate will be – (a) 5% (b) 10% (c) 15% (d) 20%

20. If the annual simple interest rate increases from 4% to 5%, causing a person's income to rise by ₹1000, then the person's principal amount is _____. (a) ₹ 4000 (b) ₹ 5000 (c) ₹ 10000 (d) ₹ 50000

21. At an annual simple interest rate of \(x\%\), if the interest on a principal amount for \(x\) years is \(x\) rupees, what is the principal amount? (a) \(x\) rupees (b) \(100x\) rupees (c) \(\cfrac{100}{x}\) rupees (d) \(\cfrac{100}{x^2}\) rupees

22. At an annual simple interest rate of 6%, in how many years will the interest on ₹\(x\) amount become ₹\(\frac{9x}{25}\)? Find the value of the time. (a) 6 years (b) 8 years (c) 10 years (d) 12 years

23. If the annual interest rate is 10% and the interest for 1 day is 1 rupee, what is the principal amount? (a) 365 rupees (b) 3650 rupees (c) 36.50 rupees (d) 100 rupees

24. What annual rate of simple interest will make the interest on a sum over 10 years equal to \(\cfrac{2}{5}\) of the total amount? (a) \(6\frac{1}{3}\%\) (b) \(6\%\) (c) \(6\frac{2}{3}\%\) (d) \(2\frac{1}{6}\%\)

25. At what annual percentage rate will a certain amount of money double in 16 years? (a) 5% (b) 8\(\frac{1}{2}\)% (c) 6\(\frac{1}{4}\)% (d) 8\(\frac{1}{4}\)%

26. A certain amount of money amounts to ₹700 in 4 years at simple annual interest, and during this time the interest is 40% of the principal. What is the amount of the principal? (a) ₹ 500 (b) ₹ 400 (c) ₹ 600 (d) ₹ 300

27. At an annual simple interest rate of \(3\frac{1}{2}\%\), what is the simple interest on ₹750 for 73 days? (a) ₹ 5.25 (b) ₹ 5.75 (c) ₹ 6 (d) None of the above

28. If the ratio of principal to interest-principal in a year is 8:9, then what is the annual simple interest rate? (a) 12\(\cfrac{1}{2}\)% (b) 15\(\cfrac{1}{2}\)% (c) 12% (d) 15%

29. The simple interest for \( a \) rupees at an annual rate of 10% for \( b \) months is— (a) \(\cfrac{ab}{100}\) rupees (b) \(\cfrac{ab}{120}\) rupees (c) \(\cfrac{ab}{1200}\) rupees (d) \(\cfrac{ab}{10}\) rupees

30. At a monthly interest rate of 2%, the interest on 350 rupees for \(1\frac{1}{3}\) years will be— (a) ₹ 120 (b) ₹ 112 (c) ₹ 124 (d) ₹ 130

31. At a simple interest rate of 4%, the maturity amount for 1250 rupees in 146 days will be— (a) ₹ 1270 (b) ₹ 1280 (c) ₹ 1290 (d) ₹ 1300

32. The interest on 5000 rupees at a rate of 12% for 10 years will be— (a) ₹ 5000 (b) ₹ 6000 (c) ₹ 5750 (d) ₹ 6250

33. If the interest on 4000 rupees for 4 years is 1600 rupees, then what is the interest rate? (a) 5% (b) 10% (c) 12\(\cfrac{1}{2}\)% (d) 15%

34. The principal amount, if the simple interest for 5 years at an annual rate of 6% is ₹75, would be? (a) ₹ 200 (b) ₹ 250 (c) ₹ 300 (d) ₹ 325

35. What principal amount will generate ₹1 as simple interest for 1 day at an annual rate of 10%? (a) ₹7300 (b) ₹1825 (c) ₹3650 (d) ₹10950

36. If the annual interest rate is 6%, the time required for the principal to double with interest is — (a) 16 years (b) 17 years (c) 18 years (d) None of the above

37. What should the interest rate be so that the interest for 2 years on a certain amount of money equals \(\cfrac{1}{4}\) of the principal? (a) 10% (b) 12.5% (c) 15% (d) 25%

38. At an annual interest rate of 4%, the amount of ₹450 after 3 years becomes — (a) ₹ 500 (b) ₹ 504 (c) ₹ 510 (d) ₹ 516

39. At an annual simple interest rate of 5%, how many years will it take for the interest on ₹6000 to become ₹1500? (a) 3 years (b) 30 years (c) 5 years (d) 15 years

40. If a principal doubles in 20 years with simple interest, then at the same simple interest rate, the principal will become four times in – (a) 30 years (b) 40 years (c) 80 years (d) 60 years

41. If a principal amount becomes 3 times its original value in 8 years with interest, when will it become 5 times its original value? (a) 12 years (b) 15 years (c) 16 years (d) 20 years

42. At a 5% interest rate, how much money should be lent to receive 1 rupee as interest per day? (a) ₹ 7300 (b) ₹ 3650 (c) ₹ 1825 (d) ₹10950

43. Rambabu deposited ₹5000 and ₹6000 separately in a bank. After 4 years, he noticed that the difference in interest earned was ₹400. What is the bank's interest rate? (a) 4% (b) 3% (c) 10% (d) 24%

44. How much money will become ₹360 in 5 years at an annual simple interest rate of 4%? (a) ₹ 300 (b) ₹ 320 (c) ₹ 280 (d) ₹ 340

45. In how many years will the ratio of the principal and the interest earned become 10:3 at a simple interest rate of 10% per annum? (a) 12 years (b) 3 years (c) 10 years (d) 13 years

46. If the annual simple interest on a principal is \(\cfrac{1}{9}\) of it, then what will be the accumulated amount in 4 years if the total sum becomes 1326 rupees? (a) ₹ 1080 (b) ₹ 1120 (c) ₹ 918 (d) ₹ 750

47. If an amount becomes 520 rupees in 5 years and 568 rupees in 7 years, then the principal amount is— (a) ₹ 400 (b) ₹ 500 (c) ₹ 600 (d) ₹ 700

48. At an annual simple interest rate of 8%, in how many years will 5000 rupees grow to 7400 rupees? (a) 3 years (b) 4 years (c) 5 years (d) 6 years

49. What should be the annual simple interest rate so that the principal increases by 75% in 6 years? (a) 8% (b) 20% (c) 12.5% (d) 15%

50. At an annual simple interest rate of 10%, how much money will become 14,000 rupees in 4 years? (a) ₹ 12500 (b) ₹ 12000 (c) ₹ 12600 (d) ₹ 10000

51. If the ratio of the principal and the total amount is 10:11, what is the annual interest rate? (a) 10% (b) 11% (c) \(10\cfrac{1}{11}\)% (d) 12%

52. If the time period and the annual simple interest rate are equal, then at what annual interest rate will the interest amount be \(\cfrac{1}{25}\) of the principal? (a) 25% (b) 10% (c) 2% (d) 2.5%

53. At an annual simple interest rate of \(6\cfrac{1}{4}\%\), how much principal amount will yield a daily interest of 1 rupee? (a) ₹ 5840 (b) ₹ 6400 (c) ₹ 5000 (d) ₹ 6000

54. The simple interest on a principal amount is \(\cfrac{1}{6}\) of it per year. If the total amount after 5 years is 2200 rupees, then the principal amount is— (a) ₹ 1000 (b) ₹ 1200 (c) ₹ 1400 (d) ₹ 1600

55. A principal amount increases by \(\cfrac{1}{8}\) of itself every year. If it becomes 900 rupees in 7 years, then what was the initial principal amount? (a) ₹ 400 (b) ₹ 600 (c) ₹ 800 (d) ₹ 480

56. If a principal amount becomes 560 rupees in 3 years and 600 rupees in 5 years, then what is the principal amount? (a) ₹ 400 (b) ₹ 500 (c) ₹ 480 (d) ₹ 540

57. At an annual simple interest rate of 8%, how much interest will make the principal amount grow to \(\cfrac{7}{5}\) times its original value? (a) 4 years (b) 5 years (c) 6 years (d) 7 years

58. (a) ₹ 5000 (b) ₹ 10000 (c) ₹ 12000 (d) ₹ 20000

59. If the annual interest rate and time period are equal, in how many years will the interest on 144 rupees become 25 rupees? (a) 4 years (b) \(4\cfrac{1}{6}\) years (c) 6 years (d) \(6\cfrac{1}{4}\) years

60. If the interest rate increases by 5%, the simple interest on 4000 rupees increases by 800 rupees. What is the time period? (a) 4 years (b) 5 years (c) 6 years (d) 7 years

61. If the simple interest on ₹850 for 3 years and on ₹1250 for 4 years at the same rate amounts to ₹302 in total, then what will be the annual rate of interest? (a) 3% (b) 5% (c) 7% (d) None of the above

62. If the interest rate increases by 2%, how much principal amount will result in an additional interest of 300 rupees over 5 years? (a) ₹ 2000 (b) ₹ 3000 (c) ₹ 4000 (d) ₹ 3600

63. At what annual percentage rate of interest will a principal amount double in 16\(\cfrac{2}{3}\) years? (a) 4% (b) 5% (c) 6% (d) 8%

64. At what annual percentage rate of interest will 325 rupees yield an interest of 52 rupees in 4 years? (a) 3% (b) 4% (c) 5% (d) 6%

65. At what annual interest rate will the interest on a principal amount become \(\cfrac{5}{16}\) of the principal in 6\(\cfrac{1}{4}\) years? (a) 3% (b) 4% (c) 5% (d) 6%

66. At what annual interest rate will a principal amount become three times its original value in 25 years? (a) 6% (b) 8% (c) 10% (d) 12.5%

67. If the interest on a principal amount becomes \(\cfrac{3}{8}\) of the principal in 5 years, what is the rate of interest? (a) 6% (b) 7.5% (c) 8% (d) 10.5%

68. At what annual percentage rate of interest will the interest on an amount in 4 years become \(\cfrac{1}{6}\) of the total amount? (a) 4% (b) 5% (c) 6% (d) 8%

69. A person deposits two separate amounts in a bank at an interest rate of 10% per annum for 5 years. At the end of the term, they receive a difference of 2500 rupees in interest. What was the difference in principal amounts? (a) ₹ 2000 (b) ₹ 5000 (c) ₹ 10000 (d) ₹ 4000

70. A person deposits 5000 rupees in a bank in two separate accounts for 8 years and 10 years, respectively. If the interest rate is 8%, what is the difference in interest? (a) ₹ 400 (b) ₹ 600 (c) ₹ 800 (d) ₹ 1200

71. Under the same simple interest rate, a principal amount grows to 7000 rupees in 5 years and 8200 rupees in 8 years. What is the rate of interest? (a) 4% (b) 6% (c) 8% (d) 10%

72. What time period will yield the same interest as 10000 rupees at 10% for 20 years, when invested at 8% on 25000 rupees? (a) 8 years (b) 10 years (c) 12 years (d) 15 years

73. If 8000 rupees grows to 12000 rupees in 5 years with simple interest, what is the rate of interest? (a) 8% (b) 10% (c) 12% (d) 15%

74. If 1200 rupees grows to 1584 rupees in 4 years with simple interest, then how much principal amount will grow to 2800 rupees in 5 years? (a) ₹ 2000 (b) ₹ 1800 (c) ₹ 2500 (d) ₹ 2100

75. If some amount doubles in 10 years with simple interest, then it will triple in— (a) 12 years (b) 15 years (c) 20 years (d) 21 years

76. If some amount triples in 30 years with simple interest, what is the rate of interest? (a) 6\(\cfrac{2}{3}\)% (b) 10% (c) 15% (d) 6%

77. At an annual simple interest rate of 12%, if the ratio of principal to interest after \(x\) years is 25:24, what is the value of \(x\)? (a) 8 (b) 10 (c) 12 (d) 5

78. What will be the total amount of 450 rupees after 3 years at an annual simple interest rate of 4%? (a) ₹ 135 (b) ₹ 180 (c) ₹ 504 (d) ₹ 600

79. At an interest rate of 4%, in how many years will 350 rupees earn 70 rupees in interest? (a) 5 years (b) 10 years (c) 8 years (d) 7 years

80. At an annual interest rate of 5%, in how many years will 520 rupees grow to 611 rupees? (a) 5 years (b) 3\(\cfrac{1}{2}\) years (c) 10 years (d) 8 years

81. What should be the annual interest rate for a principal amount to double in 6 years? (a) 12% (b) 12\(\cfrac{1}{2}\)% (c) 16% (d) 16\(\cfrac{2}{3}\)%

82. Some money becomes 5 times its original amount in 5 years at simple interest. At the same rate of interest, the time required for that principal to become 17 times is: (a) 17 years (b) 20 years (c) 18 years (d) 19 years

83. If the ratio of the principal to its total amount after one year is 25:28, then the annual interest rate is—? (a) 3% (b) 12% (c) 10\(\frac{5}{7}\)% (d) 8%

84. At an annual simple interest rate of 10%, the interest on a rupees for b months is— (a) ₹ \(\cfrac{ab}{100}\) (b) ₹ \(\cfrac{ab}{120}\) (c) ₹ \(\cfrac{ab}{1200}\) (d) ₹ \(\cfrac{ab}{10}\)

85. If a principal amount doubles in 10 years, then the annual simple interest rate is—? (a) 5% (b) 10% (c) 15% (d) 20%

86. If 9999 rupees doubles in ten years at a simple interest rate, then the interest rate is—? (a) 10% (b) 25% (c) 50% (d) 100%

87. The relationship between the principal and the amount with compound interest is: Principal < Amount with Compound Interest. True / False

88. If the ratio of principal to amount after 1 year is 20 : 21, what is the annual rate of simple interest (in percentage)?

89. If a principal amount doubles in \(x\) years, what is the annual rate of simple interest?

90. A farmer deposited some money in the village post office. After 4 years, he found that the total amount including interest had become ₹434. He calculated that the interest he received was \(\frac{6}{25}\) of his principal amount. Find how much money he had originally deposited and what annual rate of simple interest the post office gave.

91. A certain sum of money amounts to ₹944 in 3 years at simple interest. If the rate of interest is increased by 25%, the same sum amounts to ₹980 in the same time period. Find the principal amount and the original rate of interest.

92. A gentleman deposits a portion of his savings in a bank and the remaining in a post office under simple interest. The rates of simple interest in the bank and post office are 10% and 8% respectively. His total savings amount to ₹57,000. If he had deposited the entire amount in the bank, he would have earned ₹500 more in interest. What were the amounts he deposited in the bank and the post office?

93. A farmer deposits ₹100 at the post office on the first day of every month. If the annual rate of simple interest is 5%, what will be the total amount (principal + interest) he receives at the end of the year?

94. At what annual rate of interest will the simple interest on ₹900 for 4 years be equal to the simple interest on ₹720 for 6 years at 5% per annum?

95. ₹1200 is deposited for 4 years and ₹2000 for 3 years in a bank at the same rate of simple interest. If the total interest earned is ₹594, what is the annual rate of interest (percentage)?

96. What should be the annual rate of simple interest so that the interest for 5 years becomes \(\frac{1}{4}\) of the principal?

97. When Mr. Gobinda retired from his workplace, he received ₹5,00,000. He deposited part of this amount in a bank and the rest in a post office. He earns ₹33,600 annually as simple interest. The annual simple interest rates are 6% at the bank and 7.2% at the post office. Determine how much money he deposited in each place.

98. Bimal Babu lent a certain amount of money to one person at an annual simple interest rate of 8% for 4 years, and twice that amount to another person at an annual simple interest rate of 10% for the same duration. Bimal Babu received ₹960 more interest from the second person than from the first. Find the total amount of money Bimal Babu lent.

99. If the simple interest for \(n\) years at an annual rate of \(r\%\) is \(\frac{pnr}{25}\) rupees, then the principal amount will be _____ rupees.

100. If the annual simple interest rate decreases from 5.5% to 4.5%, and a person's yearly interest income is reduced by ₹250 as a result, what is the principal amount?

101. At an annual simple interest rate of 6\(\frac{1}{4}\)%, in how many years will a principal amount double?

102. Due to the annual simple interest rate decreasing from \(4\%\) to \(3\frac{3}{4}\%\), a person's annual income decreases by ₹60. Find that person's principal amount.

103. If the annual interest is \(\cfrac{1}{16}\) of the principal, determine the interest for 4 months on ₹690.

104. A man left ₹18,750 for his two sons aged 12 and 14, in such a way that when they each turn 18, they will receive the same amount including simple interest at 5%. How much money did he leave for each son?

105. Rekha received ₹100,000 upon retirement. She deposited part of the amount in a bank and the rest in a post office, earning ₹5,400 as annual interest. The annual simple interest rates at the bank and post office are 5% and 6% respectively. How much money did she deposit in each place?

106. Calculate the amount of money for which the monthly interest will be 1 rupee at an annual simple interest rate of 5%.

107. In how many years will a principal amount triple at an annual simple interest rate of 10%?

108. If the amount becomes ₹198 in 1 year from a principal of ₹180, what will be the annual simple interest rate?

109. A person's annual income decreases by ₹60 when the rate of interest drops from 4% to \(3\frac{3}{4}\)% (i.e., 3.75%). Find the principal amount.

110. Determine the annual simple interest rate (in percentage) at which the interest for 5 years becomes \(\cfrac{2}{5}\) of the principal amount.

111. Due to the annual simple interest rate decreasing from 4% to 3\(\frac{3}{4}\)%, Amal Babu's annual income reduces by ₹60. Determine Amal Babu's principal amount.

112. If the ratio of a principal amount and its amount after 5 years is 5 : 6, then find the annual simple interest rate.

113. If a principal amount yields a total of ₹7,100 (principal + simple interest) in 7 years and ₹6,200 in 4 years at the same annual rate of simple interest, find the principal and the annual rate of simple interest.

114. If a principal amount becomes ₹6325 in 3 years and ₹6737.50 in 4\(\frac{1}{2}\) years at compound interest, find the rate of interest and the principal.

115. A man left ₹28,000 for his 13-year-old son and 15-year-old daughter with the instruction that, at the age of 18, the amount each receives — including simple interest at an annual rate of 10% — should be equal. Determine the amount allocated to each child.

116. A farmer takes a loan of ₹25,000 from an agricultural cooperative society and pays 5% simple interest annually. At the end of the first year, he repays ₹15,000 out of the ₹25,000. How much does he need to pay at the end of the second year to clear the entire loan?

117. What should be the annual rate of simple interest (in percentage) so that the interest earned in 4 years becomes \( \frac{2}{5} \) of the principal amount?

118. At the same rate of simple interest, a certain principal amounts to ₹1056 in 4 years and ₹1248 in 7 years. Find the rate of interest and the principal.

119. What should be the annual rate of simple interest (in percentage) so that the interest earned in 4 years becomes \(\frac{8}{25}\) of the principal amount?

120. A borrowed ₹960 from B at an annual simple interest rate of 6%, with the condition that the loan will be repaid over the next 4 yearly installments. In the first 3 installments, A will pay only one-fourth of the principal each year. In the final (4th) installment, A will pay the remaining principal along with the total interest accrued over the 4 years. Find the total amount A will pay at the end of the 4th year.

121. A man takes a loan of ₹500 at 6% simple interest per annum. Exactly two years after taking the first loan, he takes a second loan of ₹900 at 4% simple interest per annum. After how many years from the time of the first loan will the interest amounts on both loans be equal? Also, what will be the total interest on both loans at that time?

122. A man takes a loan of ₹4,000 at 7% simple interest per annum, and exactly one year after the first loan, he takes a second loan of ₹4,000 at 4% simple interest per annum. After how many years from the first loan will the interest on both loans be equal?