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Class 8 Maths Worksheet: Compound Interest

Maths worksheets lesson 63: Compound interest · Set 207 · 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 51100 people. The population grows by 4% 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 ₹51600 at 5% per year for 2 years (in ₹)?
  3. 3.Find the compound interest on ₹23000 at 20% per year for 3 years, compounded every year (in ₹).
  4. 4.What is the difference between the compound interest and the simple interest on ₹6200 at 10% per year for 2 years (in ₹)?
  5. 5.What is the difference between the compound interest and the simple interest on ₹56000 at 25% per year for 2 years (in ₹)?
  6. 6.Find the compound interest on ₹8000 at 25% per year for 3 years, compounded every year (in ₹).
  7. 7.What amount will ₹24000 grow to in 3 years at 15% per year compound interest (in ₹)?
  8. 8.Find the compound interest on ₹42500 at 4% per year for 2 years, compounded every year (in ₹).
  9. 9.A scooter is worth ₹5300. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  10. 10.Find the compound interest on ₹12500 at 20% per year for 3 years, compounded every year (in ₹).
  11. 11.Find the compound interest on ₹32000 at 5% per year for 3 years, compounded every year (in ₹).
  12. 12.What amount will ₹3600 grow to in 2 years at 25% per year compound interest (in ₹)?
  13. 13.A scooter is worth ₹19500. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
  14. 14.A scooter is worth ₹6000. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
  15. 15.What is the difference between the compound interest and the simple interest on ₹7500 at 12% per year for 2 years (in ₹)?
  16. 16.Find the compound interest on ₹25000 at 4% per year for 2 years, compounded every year (in ₹).
  17. 17.What amount will ₹42700 grow to in 1 year at 10% per year compound interest (in ₹)?
  18. 18.Find the compound interest on ₹10600 at 8% per year for 1 year, compounded every year (in ₹).
  19. 19.A town has 58000 people. The population grows by 10% every year. What will the population be after 3 years?
  20. 20.A town has 32400 people. The population grows by 12% every year. What will the population be after 1 year?
  21. 21.A scooter is worth ₹22500. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
  22. 22.A town has 22800 people. The population grows by 4% every year. What will the population be after 1 year?
  23. 23.What amount will ₹46500 grow to in 1 year at 20% per year compound interest (in ₹)?
  24. 24.A scooter is worth ₹44800. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
  25. 25.A scooter is worth ₹32000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  26. 26.A scooter is worth ₹36900. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
  27. 27.A town has 46000 people. The population grows by 25% every year. What will the population be after 2 years?
  28. 28.Find the compound interest on ₹37500 at 4% per year for 2 years, compounded every year (in ₹).
  29. 29.Find the compound interest on ₹48000 at 15% per year for 3 years, compounded every year (in ₹).
  30. 30.What is the difference between the compound interest and the simple interest on ₹52400 at 15% per year for 2 years (in ₹)?
  31. 31.A scooter is worth ₹16000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
  32. 32.A scooter is worth ₹5000. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
  33. 33.What is the difference between the compound interest and the simple interest on ₹5000 at 8% per year for 2 years (in ₹)?
  34. 34.What amount will ₹4500 grow to in 1 year at 12% per year compound interest (in ₹)?
  35. 35.What is the difference between the compound interest and the simple interest on ₹12500 at 8% per year for 2 years (in ₹)?
  36. 36.What is the difference between the compound interest and the simple interest on ₹17600 at 5% per year for 2 years (in ₹)?
  37. 37.Find the compound interest on ₹28900 at 10% per year for 1 year, compounded every year (in ₹).
  38. 38.Find the compound interest on ₹21500 at 10% per year for 1 year, compounded every year (in ₹).
  39. 39.What is the difference between the compound interest and the simple interest on ₹49100 at 20% per year for 2 years (in ₹)?
  40. 40.What amount will ₹23800 grow to in 1 year at 10% per year compound interest (in ₹)?

Answer key

  1. 53144
  2. 129
  3. 16744
  4. 62
  5. 3500
  6. 7625
  7. 36501
  8. 3468
  9. 5088
  10. 9100
  11. 5044
  12. 5625
  13. 17550
  14. 4860
  15. 108
  16. 2040
  17. 46970
  18. 848
  19. 77198
  20. 36288
  21. 20736
  22. 23712
  23. 55800
  24. 18900
  25. 19652
  26. 29889
  27. 71875
  28. 3060
  29. 25002
  30. 1179
  31. 11664
  32. 4232
  33. 32
  34. 5040
  35. 80
  36. 44
  37. 2890
  38. 2150
  39. 1964
  40. 26180

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