A positive number is increased by . By what percentage should the result be decreased to return to the original value?
Solution
Solution 1: Suppose that the original number is 100. When 100 is increased by , the result is 160. To return to the original value of 100, 160 must be decreased by 60. This percentage is . Solution 2: Suppose that the original number is for some . When is increased by , the result is . To return to the original value of , must be decreased by . This percentage is .
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