The price of a certain item is increased by 15 %. If a consumer wants to keep his expenditure on the item same as before how much percent must he reduce his consumption of that item?
Correct answer: B. 13 1/23 %
- A. 10 20/23 %
- B. 13 1/23 %
- C. 16 2/3 %
- D. 15 %
Explanation
Let the original price and consumption be P and Q. With a 15% increase, the new price is 1.15P, so unchanged expenditure requires consumption Q ÷ 1.15 = 20Q/23; the reduction is 3Q/23, or 3/23 × 100 = 13 1/23%. A student may choose 15% by assuming consumption must fall by exactly the same percentage as the price rises.
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About Percentages
Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.
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