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The difference between the compound interest and simple interest on a sum for 2 years at 10% per annum is ₹50. Find the sum.

Class 8Comparing QuantitiesComparing Quantities
  • A4500
  • B10000
  • C5500
  • D5000

Step-by-Step Solution

For 2 years the difference = . So → rupees.
Answer: D) 5000

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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