If 50 is subtracted from two-third of a number, the result is equal to sum of 40 and one-fourth of that number. What is the number ?

If 50 is subtracted from two-third of a number, the result is equal to sum of 40 and one-fourth of that number. What is the number ?

A 156

B 179

C 198

D 216

Solution

Correct Answer: Option D

Let the number be x.

Then, 2/3x-50 = 1/4x +50

=> 5/12x = 90

x = (90 x 12) / 5 = 216