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The difference of two numbers is 20% of the larger number. If the smaller number is 12, the larger one is :

The difference of two numbers is 20% of the larger number. If the smaller number is 12, the larger one is : Correct Answer 15

Let the number be x
Then,
$$\eqalign{ & \Leftrightarrow x - 12 = 20\% {\text{ of }}x \cr & \Leftrightarrow x - \frac{x}{5} = 12 \cr & \Leftrightarrow \frac{{4x}}{5} = 12 \cr & \Leftrightarrow x = \frac{{12 \times 5}}{4} \cr & \Leftrightarrow x = 15 \cr} $$

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