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The price of a watch is increased by 25%. By what percent the price should be decreased to restore its original price?
- A18%
- B20%
- C22.5%
- D25%
Answer not set
Discussion 1
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CCommunity
Let the original price be Rs. p
Now increased price is 25 % more than original price
∴ Increased price = p + 25% of p = 1.25p
Now, when the price is restored to its original price, i.e. p,
∴ % decrease in price from new price $(= \frac{{1.25p - p}}{{1.25p}} \times 100 = \frac{{0.25p}}{{1.25p}} \times 100 = 20)$
∴ Price should be decreased by 20%.
Now increased price is 25 % more than original price
∴ Increased price = p + 25% of p = 1.25p
Now, when the price is restored to its original price, i.e. p,
∴ % decrease in price from new price $(= \frac{{1.25p - p}}{{1.25p}} \times 100 = \frac{{0.25p}}{{1.25p}} \times 100 = 20)$
∴ Price should be decreased by 20%.