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CAT 2022 Slot 3 · Quant · Percentages · medium

The price of sugar increases by 25%. By what percentage should a family reduce its sugar consumption so that its expenditure on sugar increases by…

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The price of sugar increases by 25%. By what percentage should a family reduce its sugar consumption so that its expenditure on sugar increases by only 10%?
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Answer: 12

Expenditure = Price × Consumption. New expenditure/Old expenditure = 1.10 = (New Price/Old Price) × (New Consumption/Old Consumption) = 1.25 × (New Consumption/Old Consumption). So New Consumption/Old Consumption = 1.10/1.25 = 0.88, i.e., consumption must fall by 12%.
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