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Kiran's table for a loan of ₹ 25,000 is filled for Year 1 only. Interest is compounded annually at the same rate. What is the total compound interest for the 2 years?

Class 8Comparing QuantitiesComparing Quantities
  • A₹ 4,160
  • B₹ 4,000
  • C₹ 2,160
  • D₹ 29,160

Step-by-Step Solution

Year 1 interest ₹ 2,000 on ₹ 25,000 means the rate is 8%. Year 2 principal , interest . Total CI . (₹ 4,000 is simple interest; ₹ 29,160 is the amount.)
Answer: A) ₹ 4,160

Key idea: Compound interest — interest on interest

After year 1, interest is added to principal — so year 2's interest is calculated on a LARGER amount, not the original.

****, where A is the final amount after years.
**CI = ** (the total interest earned).

Example: ₹2000 at 5% for 3 years, compounded annually:
- Year 1: Year 2: Year 3:

Direct formula: . CI = 2315.25 − 2000 = 315.25 (vs SI of 300 — compound gives more).

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