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Class 8 Maths Worksheet: Compound Interest

Maths worksheets lesson 63: Compound interest · Set 136 · 40 sums
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The method (Grow it every year): Year by year: new amount = amount × (100 + R) ÷ 100. Amount after T years = P × (1 + R/100)ᵀ; compound interest = amount − P. A value falling by R% each year: × (100 − R) ÷ 100 every year. For 2 years, CI − SI = P × R × R ÷ 10000.

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  1. 1.A town has 16000 people. The population grows by 5% every year. What will the population be after 3 years?
  2. 2.What is the difference between the compound interest and the simple interest on ₹2500 at 4% per year for 2 years (in ₹)?
  3. 3.What is the difference between the compound interest and the simple interest on ₹37500 at 4% per year for 2 years (in ₹)?
  4. 4.What is the difference between the compound interest and the simple interest on ₹20000 at 12% per year for 2 years (in ₹)?
  5. 5.What is the difference between the compound interest and the simple interest on ₹25000 at 8% per year for 2 years (in ₹)?
  6. 6.A town has 22800 people. The population grows by 25% every year. What will the population be after 2 years?
  7. 7.What amount will ₹48000 grow to in 3 years at 5% per year compound interest (in ₹)?
  8. 8.A town has 25000 people. The population grows by 4% every year. What will the population be after 2 years?
  9. 9.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
  10. 10.A town has 15300 people. The population grows by 15% every year. What will the population be after 1 year?
  11. 11.What amount will ₹47800 grow to in 1 year at 5% per year compound interest (in ₹)?
  12. 12.Find the compound interest on ₹8000 at 15% per year for 3 years, compounded every year (in ₹).
  13. 13.Find the compound interest on ₹2900 at 10% per year for 1 year, compounded every year (in ₹).
  14. 14.Find the compound interest on ₹39000 at 10% per year for 3 years, compounded every year (in ₹).
  15. 15.A scooter is worth ₹5000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
  16. 16.Find the compound interest on ₹44800 at 5% per year for 1 year, compounded every year (in ₹).
  17. 17.What amount will ₹22500 grow to in 2 years at 8% per year compound interest (in ₹)?
  18. 18.What amount will ₹54400 grow to in 3 years at 25% per year compound interest (in ₹)?
  19. 19.Find the compound interest on ₹2400 at 20% per year for 2 years, compounded every year (in ₹).
  20. 20.What is the difference between the compound interest and the simple interest on ₹5000 at 8% per year for 2 years (in ₹)?
  21. 21.Find the compound interest on ₹28700 at 8% per year for 1 year, compounded every year (in ₹).
  22. 22.Find the compound interest on ₹48000 at 5% per year for 3 years, compounded every year (in ₹).
  23. 23.What amount will ₹47500 grow to in 3 years at 20% per year compound interest (in ₹)?
  24. 24.Find the compound interest on ₹10200 at 5% per year for 1 year, compounded every year (in ₹).
  25. 25.What amount will ₹31700 grow to in 1 year at 12% per year compound interest (in ₹)?
  26. 26.Find the compound interest on ₹53100 at 20% per year for 2 years, compounded every year (in ₹).
  27. 27.Find the compound interest on ₹3200 at 25% per year for 3 years, compounded every year (in ₹).
  28. 28.Find the compound interest on ₹34500 at 8% per year for 1 year, compounded every year (in ₹).
  29. 29.A town has 15000 people. The population grows by 12% every year. What will the population be after 2 years?
  30. 30.What is the difference between the compound interest and the simple interest on ₹50100 at 10% per year for 2 years (in ₹)?
  31. 31.What amount will ₹54600 grow to in 1 year at 20% per year compound interest (in ₹)?
  32. 32.Find the compound interest on ₹3100 at 15% per year for 1 year, compounded every year (in ₹).
  33. 33.Find the compound interest on ₹29000 at 4% per year for 1 year, compounded every year (in ₹).
  34. 34.What amount will ₹56000 grow to in 3 years at 15% per year compound interest (in ₹)?
  35. 35.What amount will ₹56000 grow to in 3 years at 5% per year compound interest (in ₹)?
  36. 36.Find the compound interest on ₹49300 at 10% per year for 1 year, compounded every year (in ₹).
  37. 37.What is the difference between the compound interest and the simple interest on ₹32800 at 15% per year for 2 years (in ₹)?
  38. 38.A town has 54400 people. The population grows by 25% every year. What will the population be after 3 years?
  39. 39.What amount will ₹32000 grow to in 3 years at 25% per year compound interest (in ₹)?
  40. 40.Find the compound interest on ₹47500 at 8% per year for 2 years, compounded every year (in ₹).

Answer key

  1. 18522
  2. 4
  3. 60
  4. 288
  5. 160
  6. 35625
  7. 55566
  8. 27040
  9. 9261
  10. 17595
  11. 50190
  12. 4167
  13. 290
  14. 12909
  15. 3645
  16. 2240
  17. 26244
  18. 106250
  19. 1056
  20. 32
  21. 2296
  22. 7566
  23. 82080
  24. 510
  25. 35504
  26. 23364
  27. 3050
  28. 2760
  29. 18816
  30. 501
  31. 65520
  32. 465
  33. 1160
  34. 85169
  35. 64827
  36. 4930
  37. 738
  38. 106250
  39. 62500
  40. 7904

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