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Class 8 Maths Worksheet: Compound Interest

Maths worksheets lesson 63: Compound interest · Set 606 · 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 15700 people. The population grows by 10% every year. What will the population be after 1 year?
  2. 2.What is the difference between the compound interest and the simple interest on ₹5000 at 8% per year for 2 years (in ₹)?
  3. 3.A town has 23500 people. The population grows by 20% every year. What will the population be after 1 year?
  4. 4.A scooter is worth ₹32300. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  5. 5.A town has 52400 people. The population grows by 15% every year. What will the population be after 2 years?
  6. 6.A scooter is worth ₹20800. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
  7. 7.Find the compound interest on ₹53000 at 20% per year for 1 year, compounded every year (in ₹).
  8. 8.Find the compound interest on ₹19200 at 25% per year for 3 years, compounded every year (in ₹).
  9. 9.What amount will ₹18100 grow to in 2 years at 20% per year compound interest (in ₹)?
  10. 10.What is the difference between the compound interest and the simple interest on ₹42500 at 12% per year for 2 years (in ₹)?
  11. 11.What amount will ₹56000 grow to in 3 years at 25% per year compound interest (in ₹)?
  12. 12.What is the difference between the compound interest and the simple interest on ₹27700 at 20% per year for 2 years (in ₹)?
  13. 13.What amount will ₹35000 grow to in 2 years at 8% per year compound interest (in ₹)?
  14. 14.Find the compound interest on ₹14500 at 4% per year for 1 year, compounded every year (in ₹).
  15. 15.Find the compound interest on ₹2300 at 5% per year for 1 year, compounded every year (in ₹).
  16. 16.Find the compound interest on ₹40000 at 5% per year for 3 years, compounded every year (in ₹).
  17. 17.What amount will ₹37500 grow to in 2 years at 12% per year compound interest (in ₹)?
  18. 18.Find the compound interest on ₹25000 at 8% per year for 2 years, compounded every year (in ₹).
  19. 19.What amount will ₹44300 grow to in 1 year at 10% per year compound interest (in ₹)?
  20. 20.Find the compound interest on ₹24000 at 15% per year for 3 years, compounded every year (in ₹).
  21. 21.What amount will ₹55000 grow to in 2 years at 12% per year compound interest (in ₹)?
  22. 22.What is the difference between the compound interest and the simple interest on ₹40000 at 12% per year for 2 years (in ₹)?
  23. 23.A town has 2500 people. The population grows by 12% every year. What will the population be after 2 years?
  24. 24.Find the compound interest on ₹16600 at 20% per year for 2 years, compounded every year (in ₹).
  25. 25.What amount will ₹34200 grow to in 2 years at 20% per year compound interest (in ₹)?
  26. 26.Find the compound interest on ₹56500 at 20% per year for 1 year, compounded every year (in ₹).
  27. 27.A scooter is worth ₹45000. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
  28. 28.What is the difference between the compound interest and the simple interest on ₹40400 at 25% per year for 2 years (in ₹)?
  29. 29.What is the difference between the compound interest and the simple interest on ₹10500 at 20% per year for 2 years (in ₹)?
  30. 30.What is the difference between the compound interest and the simple interest on ₹5000 at 4% per year for 2 years (in ₹)?
  31. 31.What is the difference between the compound interest and the simple interest on ₹12000 at 25% per year for 2 years (in ₹)?
  32. 32.Find the compound interest on ₹15100 at 4% per year for 1 year, compounded every year (in ₹).
  33. 33.A town has 30700 people. The population grows by 20% every year. What will the population be after 1 year?
  34. 34.A town has 29300 people. The population grows by 12% every year. What will the population be after 1 year?
  35. 35.Find the compound interest on ₹48200 at 10% per year for 1 year, compounded every year (in ₹).
  36. 36.Find the compound interest on ₹37500 at 12% per year for 2 years, compounded every year (in ₹).
  37. 37.What is the difference between the compound interest and the simple interest on ₹10000 at 5% per year for 2 years (in ₹)?
  38. 38.A scooter is worth ₹32000. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
  39. 39.Find the compound interest on ₹14700 at 10% per year for 1 year, compounded every year (in ₹).
  40. 40.What amount will ₹5000 grow to in 2 years at 4% per year compound interest (in ₹)?

Answer key

  1. 17270
  2. 32
  3. 28200
  4. 31008
  5. 69299
  6. 18720
  7. 10600
  8. 18300
  9. 26064
  10. 612
  11. 109375
  12. 1108
  13. 40824
  14. 580
  15. 115
  16. 6305
  17. 47040
  18. 4160
  19. 48730
  20. 12501
  21. 68992
  22. 576
  23. 3136
  24. 7304
  25. 49248
  26. 11300
  27. 41472
  28. 2525
  29. 420
  30. 8
  31. 750
  32. 604
  33. 36840
  34. 32816
  35. 4820
  36. 9540
  37. 25
  38. 13500
  39. 1470
  40. 5408

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