In an examination, a student was asked to find 3/14 of a certain number. By mistake, he found 3/4 of it. His answer was 150 more than the correct answer. Find the given number.

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280

190

350

250

answer is C.

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Detailed Solution

Let the given number id n.

According to the question,

$\begin{array}{l} n \times \frac{3}{4} - n \times \frac{3}{14} = 150 \\ \frac{21 n - 6 n}{28} = 150 \\ 21 n - 6 n = 150 \times 28 \\ 15 n = 150 \times 28 \\ n = \frac{150 \times 28}{15} \\ n = 280 \end{array}$

So, the number is 280.

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