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 then the correct answer. The given number is ?
180
240
280
290
Correct Option: C
∵ 3N/4 - 3N/14 =150 ⇒ 15N/28 = 150 ∴ N = (150 x 28) /15 = 280