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Class 8 Maths Worksheet: Compound Interest

Maths worksheets lesson 63: Compound interest · Set 687 · 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 32000 people. The population grows by 15% every year. What will the population be after 3 years?
  2. 2.A town has 31700 people. The population grows by 8% every year. What will the population be after 1 year?
  3. 3.A scooter is worth ₹30000. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
  4. 4.Find the compound interest on ₹54000 at 20% per year for 3 years, compounded every year (in ₹).
  5. 5.What amount will ₹7000 grow to in 2 years at 20% per year compound interest (in ₹)?
  6. 6.Find the compound interest on ₹2500 at 4% per year for 2 years, compounded every year (in ₹).
  7. 7.What is the difference between the compound interest and the simple interest on ₹10400 at 15% per year for 2 years (in ₹)?
  8. 8.Find the compound interest on ₹33900 at 10% per year for 2 years, compounded every year (in ₹).
  9. 9.What amount will ₹16500 grow to in 1 year at 4% per year compound interest (in ₹)?
  10. 10.What amount will ₹32500 grow to in 2 years at 8% per year compound interest (in ₹)?
  11. 11.Find the compound interest on ₹37500 at 12% per year for 2 years, compounded every year (in ₹).
  12. 12.What amount will ₹12100 grow to in 1 year at 25% per year compound interest (in ₹)?
  13. 13.A town has 5600 people. The population grows by 8% every year. What will the population be after 1 year?
  14. 14.Find the compound interest on ₹55000 at 12% per year for 2 years, compounded every year (in ₹).
  15. 15.Find the compound interest on ₹15100 at 25% per year for 1 year, compounded every year (in ₹).
  16. 16.What is the difference between the compound interest and the simple interest on ₹22800 at 5% per year for 2 years (in ₹)?
  17. 17.A town has 16000 people. The population grows by 20% every year. What will the population be after 3 years?
  18. 18.A town has 11500 people. The population grows by 10% every year. What will the population be after 2 years?
  19. 19.Find the compound interest on ₹39800 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 ₹47300 at 20% per year for 2 years (in ₹)?
  21. 21.Find the compound interest on ₹2700 at 20% per year for 2 years, compounded every year (in ₹).
  22. 22.What is the difference between the compound interest and the simple interest on ₹9600 at 5% per year for 2 years (in ₹)?
  23. 23.What is the difference between the compound interest and the simple interest on ₹52000 at 5% per year for 2 years (in ₹)?
  24. 24.What is the difference between the compound interest and the simple interest on ₹54600 at 10% per year for 2 years (in ₹)?
  25. 25.What is the difference between the compound interest and the simple interest on ₹25000 at 12% per year for 2 years (in ₹)?
  26. 26.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).
  27. 27.Find the compound interest on ₹32800 at 25% per year for 2 years, compounded every year (in ₹).
  28. 28.What is the difference between the compound interest and the simple interest on ₹20000 at 10% per year for 2 years (in ₹)?
  29. 29.Find the compound interest on ₹48000 at 5% per year for 3 years, compounded every year (in ₹).
  30. 30.What is the difference between the compound interest and the simple interest on ₹18800 at 5% per year for 2 years (in ₹)?
  31. 31.Find the compound interest on ₹27400 at 5% per year for 1 year, compounded every year (in ₹).
  32. 32.What amount will ₹19500 grow to in 3 years at 20% per year compound interest (in ₹)?
  33. 33.What is the difference between the compound interest and the simple interest on ₹47500 at 8% per year for 2 years (in ₹)?
  34. 34.What amount will ₹24000 grow to in 3 years at 5% per year compound interest (in ₹)?
  35. 35.What is the difference between the compound interest and the simple interest on ₹22200 at 10% per year for 2 years (in ₹)?
  36. 36.Find the compound interest on ₹23600 at 5% per year for 2 years, compounded every year (in ₹).
  37. 37.A town has 58000 people. The population grows by 20% every year. What will the population be after 2 years?
  38. 38.What amount will ₹50000 grow to in 2 years at 8% per year compound interest (in ₹)?
  39. 39.What amount will ₹49000 grow to in 2 years at 20% per year compound interest (in ₹)?
  40. 40.A town has 35200 people. The population grows by 25% every year. What will the population be after 3 years?

Answer key

  1. 48668
  2. 34236
  3. 27000
  4. 39312
  5. 10080
  6. 204
  7. 234
  8. 7119
  9. 17160
  10. 37908
  11. 9540
  12. 15125
  13. 6048
  14. 13992
  15. 3775
  16. 57
  17. 27648
  18. 13915
  19. 17512
  20. 1892
  21. 1188
  22. 24
  23. 130
  24. 546
  25. 360
  26. 1261
  27. 18450
  28. 200
  29. 7566
  30. 47
  31. 1370
  32. 33696
  33. 304
  34. 27783
  35. 222
  36. 2419
  37. 83520
  38. 58320
  39. 70560
  40. 68750

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