A candidate, appearing for an examination, was asked to find 3/14 of a certain number but mistakenly, he found 3/4 of it. When he cross checked his answer, he found his answer was 150 more than the correct answer. Which number was given in the examination for this calculation?

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A. 160
B. 180
C. 240
D. 280

D. 280

Let the required number be x
So, as per the question, we have
3x/4 – 3x/14 = 150
(21x-6x)/28 = 150
x = (150*28)/15
x = 280

Thus, the given number is 280

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