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Class 8 Maths Worksheet: Compound Interest

Maths worksheets lesson 63: Compound interest · Set 25 · 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 50800 people. The population grows by 5% every year. What will the population be after 2 years?
  2. 2.A town has 54000 people. The population grows by 10% every year. What will the population be after 2 years?
  3. 3.What amount will ₹52500 grow to in 2 years at 20% per year compound interest (in ₹)?
  4. 4.What amount will ₹10000 grow to in 2 years at 12% per year compound interest (in ₹)?
  5. 5.A scooter is worth ₹37600. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
  6. 6.A scooter is worth ₹30200. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
  7. 7.What is the difference between the compound interest and the simple interest on ₹55600 at 5% per year for 2 years (in ₹)?
  8. 8.What amount will ₹54600 grow to in 1 year at 12% per year compound interest (in ₹)?
  9. 9.Find the compound interest on ₹3300 at 20% per year for 2 years, compounded every year (in ₹).
  10. 10.What amount will ₹25900 grow to in 1 year at 5% per year compound interest (in ₹)?
  11. 11.What is the difference between the compound interest and the simple interest on ₹60000 at 4% per year for 2 years (in ₹)?
  12. 12.What is the difference between the compound interest and the simple interest on ₹59300 at 10% per year for 2 years (in ₹)?
  13. 13.What amount will ₹10000 grow to in 2 years at 8% per year compound interest (in ₹)?
  14. 14.What amount will ₹47500 grow to in 1 year at 25% per year compound interest (in ₹)?
  15. 15.Find the compound interest on ₹13600 at 10% per year for 1 year, compounded every year (in ₹).
  16. 16.Find the compound interest on ₹53900 at 12% per year for 1 year, compounded every year (in ₹).
  17. 17.A scooter is worth ₹18000. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  18. 18.What amount will ₹54600 grow to in 1 year at 5% per year compound interest (in ₹)?
  19. 19.What amount will ₹54400 grow to in 3 years at 25% per year compound interest (in ₹)?
  20. 20.Find the compound interest on ₹48000 at 5% per year for 3 years, compounded every year (in ₹).
  21. 21.What is the difference between the compound interest and the simple interest on ₹32500 at 8% per year for 2 years (in ₹)?
  22. 22.What is the difference between the compound interest and the simple interest on ₹44800 at 10% per year for 2 years (in ₹)?
  23. 23.Find the compound interest on ₹52500 at 8% per year for 2 years, compounded every year (in ₹).
  24. 24.A scooter is worth ₹32500. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
  25. 25.A scooter is worth ₹20000. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
  26. 26.Find the compound interest on ₹51300 at 5% per year for 1 year, compounded every year (in ₹).
  27. 27.What is the difference between the compound interest and the simple interest on ₹60000 at 5% per year for 2 years (in ₹)?
  28. 28.What is the difference between the compound interest and the simple interest on ₹57500 at 8% per year for 2 years (in ₹)?
  29. 29.What amount will ₹33500 grow to in 1 year at 10% per year compound interest (in ₹)?
  30. 30.What is the difference between the compound interest and the simple interest on ₹13900 at 10% per year for 2 years (in ₹)?
  31. 31.Find the compound interest on ₹20000 at 8% per year for 2 years, compounded every year (in ₹).
  32. 32.Find the compound interest on ₹27500 at 8% per year for 2 years, compounded every year (in ₹).
  33. 33.What is the difference between the compound interest and the simple interest on ₹2400 at 5% per year for 2 years (in ₹)?
  34. 34.What is the difference between the compound interest and the simple interest on ₹59600 at 15% per year for 2 years (in ₹)?
  35. 35.Find the compound interest on ₹22100 at 8% per year for 1 year, compounded every year (in ₹).
  36. 36.What is the difference between the compound interest and the simple interest on ₹4000 at 5% per year for 2 years (in ₹)?
  37. 37.What is the difference between the compound interest and the simple interest on ₹42500 at 4% per year for 2 years (in ₹)?
  38. 38.A town has 55500 people. The population grows by 20% every year. What will the population be after 1 year?
  39. 39.What amount will ₹19000 grow to in 1 year at 5% per year compound interest (in ₹)?
  40. 40.What is the difference between the compound interest and the simple interest on ₹40800 at 10% per year for 2 years (in ₹)?

Answer key

  1. 56007
  2. 65340
  3. 75600
  4. 12544
  5. 33934
  6. 22650
  7. 139
  8. 61152
  9. 1452
  10. 27195
  11. 96
  12. 593
  13. 11664
  14. 59375
  15. 1360
  16. 6468
  17. 9216
  18. 57330
  19. 106250
  20. 7566
  21. 208
  22. 448
  23. 8736
  24. 29952
  25. 16928
  26. 2565
  27. 150
  28. 368
  29. 36850
  30. 139
  31. 3328
  32. 4576
  33. 6
  34. 1341
  35. 1768
  36. 10
  37. 68
  38. 66600
  39. 19950
  40. 408

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