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?

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

Answer

D. 280

Solution

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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