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Which formula correctly gives the amount A in compound interest compounded annually?

Class 8Comparing QuantitiesComparing Quantities
  • A
  • B
  • C
  • D

Step-by-Step Solution

For annual compounding, the amount is . The second option is the simple interest amount formula.
Answer: A)

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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