A boy grew one year from a height of $x$ inches to a height of $y$ inches. The percent of increase was

\frac{100 (y - x)}{y}

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\frac{100 (x - y)}{x}

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\frac{y - x}{x}

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\frac{100 (y - x)}{x}

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\frac{x - y}{x}

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Solution

The correct option is D $\frac{100 (y - x)}{x}$
The boy grew one year from height of $x$ inches to $y$ inches.
Therefore, the height increased by a boy is $y - x$ .
Percentage increase is $\frac{y - x}{x} \times 100 = \frac{100 (y - x)}{x}$

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