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Multiplication of Integers

If 50% of ...

Question

If $50 %$ of $(x - y) = 30 %$ of $(x + y)$ , then what percent of $x$ is $y$ ?

60

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20

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40

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25

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Solution

The correct option is C $25$ %
$\frac{x - y}{2} = \frac{3 (x + y)}{5}$
$⟹ 5 x - 5 y = 3 x + 3 y$
$⟹ 2 x = 8 y$
$x = 4 y$
so $25$ % of $x$ is y.

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