A positive number is increased by 60%. By what percentage should the result be decreased to return to the original value?
A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.
Solution
Solution 1: Suppose that the original number is 100. When 100 is increased by 60%, the result is 160. To return to the original value of 100, 160 must be decreased by 60. This percentage is 16060×100%=83×100%=37.5%. Solution 2: Suppose that the original number is x for some x>0. When x is increased by 60%, the result is 1.6x. To return to the original value of x, 1.6x must be decreased by 0.6x. This percentage is 1.6x0.6x×100%=83×100%=37.5%.
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