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Class 8 Maths Worksheet: Compound Interest

Maths worksheets lesson 63: Compound interest · Set 55 · 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 24400 people. The population grows by 5% every year. What will the population be after 2 years?
  2. 2.What amount will ₹50000 grow to in 2 years at 15% per year compound interest (in ₹)?
  3. 3.A town has 44700 people. The population grows by 4% every year. What will the population be after 1 year?
  4. 4.Find the compound interest on ₹6800 at 25% per year for 1 year, compounded every year (in ₹).
  5. 5.What amount will ₹15500 grow to in 1 year at 15% per year compound interest (in ₹)?
  6. 6.What is the difference between the compound interest and the simple interest on ₹34700 at 20% per year for 2 years (in ₹)?
  7. 7.A town has 45000 people. The population grows by 8% every year. What will the population be after 2 years?
  8. 8.What is the difference between the compound interest and the simple interest on ₹25000 at 8% per year for 2 years (in ₹)?
  9. 9.Find the compound interest on ₹19500 at 20% per year for 1 year, compounded every year (in ₹).
  10. 10.A scooter is worth ₹14400. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
  11. 11.Find the compound interest on ₹30400 at 25% per year for 3 years, compounded every year (in ₹).
  12. 12.What is the difference between the compound interest and the simple interest on ₹20000 at 12% per year for 2 years (in ₹)?
  13. 13.A town has 42700 people. The population grows by 20% every year. What will the population be after 2 years?
  14. 14.Find the compound interest on ₹19500 at 4% per year for 1 year, compounded every year (in ₹).
  15. 15.Find the compound interest on ₹32000 at 15% per year for 3 years, compounded every year (in ₹).
  16. 16.What amount will ₹14400 grow to in 2 years at 25% per year compound interest (in ₹)?
  17. 17.A town has 12400 people. The population grows by 20% every year. What will the population be after 2 years?
  18. 18.What is the difference between the compound interest and the simple interest on ₹53600 at 15% per year for 2 years (in ₹)?
  19. 19.A scooter is worth ₹57500. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
  20. 20.What amount will ₹16000 grow to in 3 years at 15% per year compound interest (in ₹)?
  21. 21.A scooter is worth ₹32600. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
  22. 22.What amount will ₹11000 grow to in 3 years at 20% per year compound interest (in ₹)?
  23. 23.What amount will ₹47300 grow to in 1 year at 5% per year compound interest (in ₹)?
  24. 24.What is the difference between the compound interest and the simple interest on ₹8100 at 20% per year for 2 years (in ₹)?
  25. 25.A scooter is worth ₹56000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  26. 26.What is the difference between the compound interest and the simple interest on ₹51300 at 10% per year for 2 years (in ₹)?
  27. 27.Find the compound interest on ₹41000 at 10% per year for 1 year, compounded every year (in ₹).
  28. 28.What amount will ₹39200 grow to in 2 years at 25% per year compound interest (in ₹)?
  29. 29.What amount will ₹17500 grow to in 1 year at 4% per year compound interest (in ₹)?
  30. 30.What amount will ₹4800 grow to in 2 years at 15% per year compound interest (in ₹)?
  31. 31.What is the difference between the compound interest and the simple interest on ₹34400 at 15% per year for 2 years (in ₹)?
  32. 32.What amount will ₹25000 grow to in 2 years at 8% per year compound interest (in ₹)?
  33. 33.A scooter is worth ₹18600. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
  34. 34.Find the compound interest on ₹13500 at 10% per year for 1 year, compounded every year (in ₹).
  35. 35.What amount will ₹30700 grow to in 1 year at 5% per year compound interest (in ₹)?
  36. 36.What is the difference between the compound interest and the simple interest on ₹17500 at 12% per year for 2 years (in ₹)?
  37. 37.What amount will ₹47800 grow to in 2 years at 20% per year compound interest (in ₹)?
  38. 38.A town has 28000 people. The population grows by 5% every year. What will the population be after 2 years?
  39. 39.What is the difference between the compound interest and the simple interest on ₹15300 at 10% per year for 2 years (in ₹)?
  40. 40.Find the compound interest on ₹4000 at 10% per year for 3 years, compounded every year (in ₹).

Answer key

  1. 26901
  2. 66125
  3. 46488
  4. 1700
  5. 17825
  6. 1388
  7. 52488
  8. 160
  9. 3900
  10. 8100
  11. 28975
  12. 288
  13. 61488
  14. 780
  15. 16668
  16. 22500
  17. 17856
  18. 1206
  19. 50600
  20. 24334
  21. 26080
  22. 19008
  23. 49665
  24. 324
  25. 48013
  26. 513
  27. 4100
  28. 61250
  29. 18200
  30. 6348
  31. 774
  32. 29160
  33. 11904
  34. 1350
  35. 32235
  36. 252
  37. 68832
  38. 30870
  39. 153
  40. 1324

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