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Two friends in Jodhpur each deposit ₹24000 for 2 years at 5% per annum. The bank used by Ankit pays simple interest, while the one used by Bhavna compounds annually. How much MORE interest does Bhavna earn?

Class 8Comparing QuantitiesComparing Quantities
  • A₹60
  • B₹120
  • C₹2460
  • D₹2400

Step-by-Step Solution

Ankit: SI = . Bhavna: , so CI = 2460. Difference = 2460 − 2400 = 60, which is just 5% of the ₹1200 interest earned in year 1. Trap: ₹2460 and ₹2400 are the two interests themselves, not the gap; ₹120 charges 5% on the whole ₹2400.
Answer: A) ₹60

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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