Maths worksheets · lesson 63 of 64 · free

Compound interest — Maths worksheet

With compound interest, the interest of each year is added to the money, and next year’s interest is worked out on this bigger amount. So ₹10000 at 10% becomes ₹11000 after 1 year and ₹12100 after 2 years: the compound interest is ₹2100, which is ₹100 more than simple interest. The same idea works for a growing population or a value that falls by a fixed per cent each year.

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The method

Grow it every year — “each year the interest is worked out on the new amount, not the first one”

  1. Year by year: new amount = amount × (100 + R) ÷ 100.
  2. Amount after T years = P × (1 + R/100)ᵀ; compound interest = amount − P.
  3. A value falling by R% each year: × (100 − R) ÷ 100 every year.
  4. For 2 years, CI − SI = P × R × R ÷ 10000.

Use it for: Bank fixed deposits and loans, population growth, the falling value of a scooter, and the comparing quantities chapter of Class 8 maths.

🧮 Check your own sums with the free Compound interest calculator — it shows the working.

Worked example: Find the compound interest on ₹10000 at 10% per year for 2 years, compounded every year (in ₹). → 2100

  1. Year 1: 10000 + 1000 = 11000. Year 2: 11000 + 1100 = 12100.
  2. CI = 12100 − 10000 = 2100.

Check: Simple interest would be 1000 × 2 = 2000, and CI − SI = 10000 × 10 × 10 ÷ 10000 = 100 ✓

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🏁 Lesson 63 test

20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.

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🖨️ Class 8 Maths Worksheet: Compound Interest

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