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Class 8 Maths Worksheet: Compound Interest

Maths worksheets lesson 63: Compound interest · Set 228 · 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 17200 people. The population grows by 15% 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 ₹25200 at 25% per year for 2 years (in ₹)?
  3. 3.Find the compound interest on ₹57700 at 10% per year for 1 year, compounded every year (in ₹).
  4. 4.What amount will ₹12500 grow to in 2 years at 10% per year compound interest (in ₹)?
  5. 5.What amount will ₹8400 grow to in 2 years at 10% per year compound interest (in ₹)?
  6. 6.A town has 41000 people. The population grows by 10% every year. What will the population be after 3 years?
  7. 7.What is the difference between the compound interest and the simple interest on ₹32500 at 4% per year for 2 years (in ₹)?
  8. 8.A scooter is worth ₹30000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
  9. 9.Find the compound interest on ₹53200 at 25% per year for 1 year, compounded every year (in ₹).
  10. 10.What amount will ₹52500 grow to in 2 years at 8% per year compound interest (in ₹)?
  11. 11.A town has 5100 people. The population grows by 20% every year. What will the population be after 1 year?
  12. 12.A town has 12500 people. The population grows by 4% every year. What will the population be after 2 years?
  13. 13.What is the difference between the compound interest and the simple interest on ₹42600 at 10% per year for 2 years (in ₹)?
  14. 14.Find the compound interest on ₹15600 at 25% per year for 2 years, compounded every year (in ₹).
  15. 15.Find the compound interest on ₹4200 at 25% per year for 1 year, compounded every year (in ₹).
  16. 16.Find the compound interest on ₹12400 at 20% per year for 1 year, compounded every year (in ₹).
  17. 17.Find the compound interest on ₹39000 at 20% per year for 3 years, compounded every year (in ₹).
  18. 18.Find the compound interest on ₹8000 at 15% per year for 3 years, compounded every year (in ₹).
  19. 19.What amount will ₹45400 grow to in 2 years at 10% per year compound interest (in ₹)?
  20. 20.A scooter is worth ₹27800. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
  21. 21.What is the difference between the compound interest and the simple interest on ₹52600 at 10% per year for 2 years (in ₹)?
  22. 22.Find the compound interest on ₹11600 at 5% per year for 2 years, compounded every year (in ₹).
  23. 23.A town has 12500 people. The population grows by 8% every year. What will the population be after 2 years?
  24. 24.Find the compound interest on ₹6100 at 10% per year for 1 year, compounded every year (in ₹).
  25. 25.A scooter is worth ₹38000. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  26. 26.Find the compound interest on ₹22800 at 25% per year for 2 years, compounded every year (in ₹).
  27. 27.A town has 11200 people. The population grows by 5% every year. What will the population be after 2 years?
  28. 28.What is the difference between the compound interest and the simple interest on ₹13200 at 20% per year for 2 years (in ₹)?
  29. 29.A town has 46500 people. The population grows by 20% every year. What will the population be after 3 years?
  30. 30.A scooter is worth ₹40000. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
  31. 31.A scooter is worth ₹58000. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  32. 32.What is the difference between the compound interest and the simple interest on ₹15600 at 15% per year for 2 years (in ₹)?
  33. 33.Find the compound interest on ₹33900 at 25% per year for 1 year, compounded every year (in ₹).
  34. 34.Find the compound interest on ₹36100 at 10% per year for 2 years, compounded every year (in ₹).
  35. 35.What is the difference between the compound interest and the simple interest on ₹13600 at 5% per year for 2 years (in ₹)?
  36. 36.What is the difference between the compound interest and the simple interest on ₹40000 at 4% per year for 2 years (in ₹)?
  37. 37.A town has 16000 people. The population grows by 5% every year. What will the population be after 3 years?
  38. 38.What amount will ₹29700 grow to in 1 year at 12% per year compound interest (in ₹)?
  39. 39.What is the difference between the compound interest and the simple interest on ₹52800 at 25% per year for 2 years (in ₹)?
  40. 40.Find the compound interest on ₹36200 at 12% per year for 1 year, compounded every year (in ₹).

Answer key

  1. 19780
  2. 1575
  3. 5770
  4. 15125
  5. 10164
  6. 54571
  7. 52
  8. 21870
  9. 13300
  10. 61236
  11. 6120
  12. 13520
  13. 426
  14. 8775
  15. 1050
  16. 2480
  17. 28392
  18. 4167
  19. 54934
  20. 20850
  21. 526
  22. 1189
  23. 14580
  24. 610
  25. 19456
  26. 12825
  27. 12348
  28. 528
  29. 80352
  30. 30976
  31. 29696
  32. 351
  33. 8475
  34. 7581
  35. 34
  36. 64
  37. 18522
  38. 33264
  39. 3300
  40. 4344

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