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Table of Contents
Simple and Compound Interest
Simple Interest Questions
3.1. If Rs. 10,000 is invested for 6 years at an annual simple interest rate of 16%
i. How much interest will be earned
ii. What is the amount of the investment at the end of the 6 years
3.2. Find the simple interest and amount for the following.
i. Rs. 2000 for 3 years at 5%
ii. Rs. 800 for 7 years at 4%
3.3. Mr. Asghar borrowed Rs. 5,000 for 5 years at 8% simple interest. How much he will repay.
3.4. A man invest Rs. 70000 at 6% per annum and Rs. 30000 at 8% per annum. What is the total annual interest on these investment.
3.5. Mr. Bashir Ahmad borrowed Rs. 4500 from Habib Bank at 8 ½% and lent the wole amount at 10% the same day, what would he gained from this after 4 years.
3.6. What sum would borrow in Rs. 1250 as simple interest at 3% in 3 years.
3.7. What sum would borrow in Rs. 200 as simple interest at 5% in 2 years.
3.8. Find the principal, if the amount for 5 years at 5% is Rs. 5550.
3.9. If the amount for 2 years at 6% is Rs. 3920, what was the Principal.
3.10. How much should Mr. Arif borrow from Mr. Hanif so that he may have to repay Rs. 4425 after 3 years if Hanif charges a simple interest rate 5%.
3.11. How much should Mr. A borrow from Mr. B so that he may have to repay Rs. 2800 after 2 years if B charges a simple interest rate 4%.
3.12. At what rate of interest, would Rs. 1800 amount to Rs. 2500 in 2 years.
3.13. If the simple interest on Rs. 15000 for 3 years is Rs. 900. Find the rate of interest.
3.14. At what annual rate percent of interest would Rs. 780 amount to Rs. 1320 in 2 years 3 months.
3.15. Find the rate percent of interest, if the simple interest on Rs. 21540 for 4 years 9 months is Rs. 5000.
3.16. At what rate of interest would a sum of money becomes one and a half in 10 years.
3.17. At what rate would a sum of money double itself in 20 years.
3.18. How long will it take for Rs. 1000 to amount Rs. 1180 at 6% per annum simple interest.
3.19. How long will it take for Rs. 2000, to amount Rs. 2360 at 6% per annum simple interest.
3.20. How long will it take for Rs. 9400, to amount Rs. 10951 at 3% per annum simple interest.
3.21. How long will it take a sum of money double itself at 10% per annum simple interest.
3.22. In how many years would a sum lent at 8% be doubled.
3.23. Find the simple interest on Rs. 2000 for 45 days at 10% per annum.
Compound interest Questions
3.24. Find the compound interest on Rs. 8000 for 3 years at 5% per annum.
3.25. Find the Compound Interest and Amount
i) Principal = Rs. 6000, rate = 5% p.a. and time = 2 years.
ii) Principal = Rs. 10000, rate = 11% p.a. and time = 4 years .
iii) Principal = Rs. 4800, rate = 7 % p.a. and time = 5 years.
iv) Principal = Rs. 31250, rate = 8% p.a. and time = 4 years.
v) Principal = Rs. 6750, rate = 6 % p.a. and time = 3 years.
vi) Principal = Rs. 62500, rate = 12 % p.a. and time = 1 years.
vii) Principal = Rs. 15000, rate = 10% p.a. and time = 2 years.
3.26. Find the amount at compound interest of Rs. 12000 at 6% per annum for 2 years and 6 months. Also find the compound interest.
3.27. Find the amount of Rs. 10000 for 2 years at 4% per annum.
i. Compounded annually
ii. Compounded Semi-annually
iii. Compounded Quarterly
3.28. Find the amount at compound interest of Rs. 4000 at 10% per annum for 2 years and 6 months. Also find the compound interest.
3.29. Mr. Aslam has invested Rs. 25000 at 6% compounded annually. What amount would be received after 4 years.
3.30. Mr. Rashid borrowed Rs. 20,000 from bank to be paid back after 3 years at 6% pe annum compounded annually. What total amount he would have to pay after 3 years. What will be the amount of interest.
3.31. Compute the compound interest on Rs. 500 for 6 and half year at 2 and half percent compounded semi-annually.
3.32. A sum of Rs 4000 is borrowed, and the rate is 6%. What is the daily compound interest and compound amount for 2 years.
3.33. A sum of Rs 5000 is borrowed and the rate is 8%. What is the daily compound interest and Compound amount for 4 years?
3.34. A sum of Rs 20000 is borrowed and the rate is 10%. What is the daily compound interest for 5 years?
3.35. A sum of Rs 5000 is borrowed and the rate is 8%. What is the monthly compound interest for 2 years?
3.36. A sum of Rs 20000 is borrowed and the rate is 10%. What is the monthly compound interest for 5 years?
3.37. Find compound interest due in case of Rs. 1000 loaned for 5 years at 6% p.a.
3.38. Find the amount of $ 12000 after 2 years, compounded annually; the rate of interest being 5 % p.a. during the first year and 6 % p.a. during the second year. Also, find the compound interest.
3.39. Find the compound interest on Rs 80,000 for 3 years if the rates 4%, 5% and 10% respectively.
3.40. Find the compound amount of Rs. 10000 payable at the end of 8 years at the rate of 6% compounded annually.
3.41. Calculate the compound interest earned for Rs. 5000 invested for 6 years at the rate of 7% per annum.
3.42. Calculate the compound interest earned for Rs. 1200 invested for 10 years at the rate of 12% per annum.
3.43. On a saving bank account Bank-A pays 3% interest compounded annually. While bank-B pays 6% interest compounded semi-annually on a deposit of Rs. 2000, how much more interest will be earned in 3 years at Bank-B as compared to Bank-A.
3.44. Find the principal of Rs. 9628.20 due at the end of 8 years if money is worth 6% compounded semi-annually.
3.45. If you invest Rs. 5000 at an annual interest rate of 10% compounded continuously, calculate the final amount you will have in the account after five years.
3.46. If you invest Rs.2,000 at an annual interest rate of 13% compounded continuously, calculate the final amount you will have in the account after 20 years.
3.47. If you invest Rs. 20,000 at an annual interest rate of 1% compounded continuously, calculate the final amount you will have in the account after 20 years.
3.48. The compound interest for 5 years at 5% is Rs. 1000. Find principal.
3.49. In how many years a sum of Rs. 1000 would amount Rs. 1350 at 4% compounded interest
3.50. In how many years a sum of Rs. 5560 would amount Rs. 7000 at 8% interest compounded semi-annually.
3.51. In how many years as sum of Rs. 3000 would amount Rs. 6130 .43 at 6% compounded quarterly.
3.52. At what rate of compound interest will Rs. 60180 amount to Rs. 100,000 in 5 years.
3.53. At what rate of interest Rs. 5000 double that in 5 years at compound interest.
3.54. At what rate of interest compounded per annum for 5 years will Rs. 2000 amount to Rs. 2550.
3.55. At what rate of interest compounded semiannually for 5 ½ years will Rs. 3600 amount to RS. 5100
3.56. The compound interest for 2 years at 3 ½% on a sum of money exceeds the simple interest on it for the same time and at the same rate by Rs. 60.48. Find the principal.
3.57. What is the difference between the compound and simple interest Rs. 152625 for 4 years at 4%.
3.58. If the difference between the simple and compound interest for 3 years at 5% is Rs. 61. Find the principal.
3.59. The difference between the simple and compound interest on a certain sum is Rs.2.50 for 2 years at 5%. Find the sum.
Answer
3.1.
i) 9600
ii) 19600
3.2.
i) 2300
ii) 1024
3.3. 7000
3.4. 6600
3.5. 270
3.6. 13889
3.7. 2000
3.8. 4440
3.9. 3500
3.10. 3848
3.11. 2593
3.12. 19.44%
3.13. 2%
3.14. 30.77%
3.15. 4.89%
3.16. 5%
3.17. 5%
3.18. 3 years
3.19. 3 years
3.20. 4.5 years
3.21. 10 years
3.22. 12 .50 years
3.23. 25
3.24. 1261
3.25.
i. 615 & 6615
ii. 5181.70 & 15181.70
iii. 1932.24 & 6732.24
iv. 11265.28 & 42515.28
v. 1289.35 & 8039.35
vi. 7500 & 70000
vii. 3150 & 18150
3.26. 13911.29
3.27.
i. 10816
ii. 10824.32
iii. 10828.57
3.28. 5105.13 & 1105.13
3.29. 31561.92
3.30. 23820.32 & 3820.32
3.31. 87.63
3.32. 510 & 4510
3.33. 1885.39 & 6885.39
3.34. 12972.17
3.35. 864.43
3.36. 12906.18
3.37. 338.23
3.38. 1356 & 13356
3.39. 16096
3.40. 15938.48
3.41. 2503.65
3.42. 2527.02
3.43. 202.65
3.44. 6000
3.45. 8235.29
3.46. 26927.47
3.47. 24428.05
3.48. 3619.25
3.49. 7.65 years
3.50. 3 years
3.51. 12 years
3.52. 10.69%
3.53. 14.86%
3.54. 5%
3.55. 6%
3.56. 50400
3.57. 154.04
3.58. 8026.32
3.59. 1000