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Re: The number that is 50% greater than 60 is what percent less
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11 Jul 2018, 13:34
Explanation
Rather than trying to write out the whole statement as math, note that “the number that is 50% greater than 60” can be calculated: 1.5(60) = 90. Similarly, “the number that is 20% less than 150” is 0.8(150) = 120. The question can be rephrased as “90 is what percent less than 120?” Use the percent change formula. Since the question specifies a “percent less,” the “original” number is 120:
Percent Change=\((\frac{Difference}{original} \times 100)\)
Percent Change=\((\frac{30}{120} \times 100)=25\%\)