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Class 8 Maths Worksheet: Compound Interest

Maths worksheets lesson 63: Compound interest · Set 50 · 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 10400 people. The population grows by 5% every year. What will the population be after 2 years?
  2. 2.Find the compound interest on ₹2400 at 5% per year for 2 years, compounded every year (in ₹).
  3. 3.Find the compound interest on ₹49600 at 25% per year for 3 years, compounded every year (in ₹).
  4. 4.What amount will ₹31600 grow to in 1 year at 25% per year compound interest (in ₹)?
  5. 5.Find the compound interest on ₹16000 at 5% per year for 3 years, compounded every year (in ₹).
  6. 6.Find the compound interest on ₹52500 at 4% per year for 2 years, compounded every year (in ₹).
  7. 7.A town has 23500 people. The population grows by 20% every year. What will the population be after 3 years?
  8. 8.What amount will ₹9200 grow to in 2 years at 10% per year compound interest (in ₹)?
  9. 9.What is the difference between the compound interest and the simple interest on ₹35000 at 12% per year for 2 years (in ₹)?
  10. 10.A town has 28900 people. The population grows by 8% every year. What will the population be after 1 year?
  11. 11.What is the difference between the compound interest and the simple interest on ₹10000 at 5% per year for 2 years (in ₹)?
  12. 12.Find the compound interest on ₹17200 at 20% per year for 1 year, compounded every year (in ₹).
  13. 13.A scooter is worth ₹34400. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
  14. 14.A town has 12000 people. The population grows by 25% every year. What will the population be after 2 years?
  15. 15.Find the compound interest on ₹26200 at 8% per year for 1 year, compounded every year (in ₹).
  16. 16.What amount will ₹50200 grow to in 2 years at 20% per year compound interest (in ₹)?
  17. 17.What is the difference between the compound interest and the simple interest on ₹5400 at 10% per year for 2 years (in ₹)?
  18. 18.A scooter is worth ₹4100. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
  19. 19.A town has 56000 people. The population grows by 10% every year. What will the population be after 3 years?
  20. 20.A town has 9000 people. The population grows by 10% every year. What will the population be after 3 years?
  21. 21.A scooter is worth ₹17500. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  22. 22.What amount will ₹7500 grow to in 2 years at 4% per year compound interest (in ₹)?
  23. 23.Find the compound interest on ₹54200 at 10% per year for 1 year, compounded every year (in ₹).
  24. 24.What amount will ₹22400 grow to in 3 years at 25% per year compound interest (in ₹)?
  25. 25.What is the difference between the compound interest and the simple interest on ₹18800 at 5% per year for 2 years (in ₹)?
  26. 26.What is the difference between the compound interest and the simple interest on ₹32000 at 20% per year for 2 years (in ₹)?
  27. 27.What amount will ₹50400 grow to in 1 year at 20% per year compound interest (in ₹)?
  28. 28.What is the difference between the compound interest and the simple interest on ₹6600 at 20% per year for 2 years (in ₹)?
  29. 29.A town has 22500 people. The population grows by 20% every year. What will the population be after 1 year?
  30. 30.What is the difference between the compound interest and the simple interest on ₹30000 at 10% per year for 2 years (in ₹)?
  31. 31.What is the difference between the compound interest and the simple interest on ₹10000 at 12% per year for 2 years (in ₹)?
  32. 32.What amount will ₹30400 grow to in 2 years at 10% per year compound interest (in ₹)?
  33. 33.What amount will ₹52500 grow to in 2 years at 4% per year compound interest (in ₹)?
  34. 34.What is the difference between the compound interest and the simple interest on ₹55400 at 10% per year for 2 years (in ₹)?
  35. 35.What amount will ₹12400 grow to in 2 years at 25% per year compound interest (in ₹)?
  36. 36.Find the compound interest on ₹48000 at 5% per year for 3 years, compounded every year (in ₹).
  37. 37.A scooter is worth ₹17700. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
  38. 38.What is the difference between the compound interest and the simple interest on ₹21600 at 25% per year for 2 years (in ₹)?
  39. 39.A town has 10000 people. The population grows by 8% every year. What will the population be after 2 years?
  40. 40.What is the difference between the compound interest and the simple interest on ₹48000 at 5% per year for 2 years (in ₹)?

Answer key

  1. 11466
  2. 246
  3. 47275
  4. 39500
  5. 2522
  6. 4284
  7. 40608
  8. 11132
  9. 504
  10. 31212
  11. 25
  12. 3440
  13. 31046
  14. 18750
  15. 2096
  16. 72288
  17. 54
  18. 3075
  19. 74536
  20. 11979
  21. 8960
  22. 8112
  23. 5420
  24. 43750
  25. 47
  26. 1280
  27. 60480
  28. 264
  29. 27000
  30. 300
  31. 144
  32. 36784
  33. 56784
  34. 554
  35. 19375
  36. 7566
  37. 13275
  38. 1350
  39. 11664
  40. 120

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