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Two times a number is a 100 percent increase in the number If we take half the number what would be the decrease in per cent

Two times a number is a 100% increase in the number. If we take half the number what would be the decrease in percent?

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Let the number be x.

Half the number = \frac{x}{2}

\\Decrease\ in\ percent=\frac{Number-Half\ the\ number}{Number}\times 100\\ =\frac{x-\frac{x}{2}}{x}\times 100\\ =\frac{1}{2}\times 100\\

= 50 %

Therefore, If we take half the number, the decrease in percent is 50%

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