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A shopkeeper lent ₹7500 for 4 years and received ₹1800 as simple interest. Find the rate percent per annum.

Class 8Comparing QuantitiesComparing Quantities
  • A24%
  • B1.5%
  • C6%
  • D2.4%

Step-by-Step Solution

Rearrange SI = %. Trap: 24% is , which is the interest for the WHOLE 4 years rather than per year; 1.5% divides by the time a second time.
Answer: C) 6%

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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