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A printing press bought for ₹64000 loses 25% of its value every year. What is it worth at the end of 3 years?

Class 8Comparing QuantitiesComparing Quantities
  • A₹48000
  • B₹36000
  • C₹27000
  • D₹16000

Step-by-Step Solution

Each year the press keeps 75% of its value, so multiply by 0.75 three times: 64000 → 48000 → 36000 → 27000, that is . Trap: ₹16000 treats the three 25% falls as one flat 75% cut, while ₹48000 and ₹36000 stop after one year and after two years.
Answer: C) ₹27000

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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