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The price of sugar goes up by 60%. By what percent must Sunita cut her consumption so that her monthly spending on sugar stays exactly the same?

Competition practiceRatio, Percentage & Commercial Math
  • A37.5
  • B40
  • C60
  • D62.5

Step-by-Step Solution

Spending = price × quantity. With the price at 1.6 times its old value, the quantity must fall to 1/1.6 = 0.625 of what it was — that is, she keeps 62.5% and gives up 37.5%. (62.5 is the part she still buys, not the cut; and cutting by the same 60% the price rose by would leave her spending only of the old amount.)
Answer: A) 37.5

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