Quantitative aptitude · lesson 15 of 30 · free

Compound interest — Quantitative aptitude for kids

With compound interest, the interest is added to the money every year, so next year you earn interest on the interest too. Work year by year, or use Amount = P × (1 + R/100)ⁿ.

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The method

Year by year — “each year, add R% of the amount at the start of that year”

  1. Year 1: add R% of P. Year 2: add R% of the new amount. Carry on for each year.
  2. Amount = P × (100 + R)ⁿ ÷ 100ⁿ; compound interest = amount − P.
  3. For 2 years, CI − SI = P × R × R ÷ 10000.

Use it for: Savings that grow, loans, population growth, and compound interest in Class 8 and aptitude tests.

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

Worked example: Find the compound interest on ₹8000 at 5% per year for 3 years, added every year (in ₹). → 1261

  1. Year 1: 8000 + 400 = 8400. Year 2: 8400 + 420 = 8820. Year 3: 8820 + 441 = 9261.
  2. Compound interest = 9261 − 8000 = ₹1261.

Check: 8000 × 1.05 × 1.05 × 1.05 = 9261, and simple interest would be only ₹1200 ✓

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🏁 Lesson 15 test

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

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🖨️ Compound Interest Worksheet

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