Question

If one third of a number is 15 more than one-fourth of the same number, find 60% of the same number.

• A. 108
• B. 99
• C. 128
• D. 86.4
• E. None of the above

Answer 1

The correct option is A 108

Let the number be = x
$\frac{1}{3}x=\frac{1}{4}x+15\Rightarrow (\frac{1}{3}-\frac{1}{4})x=15$
$\Rightarrow \frac{1}{12}x=15\Rightarrow x=180$
60% of 180 = $\frac{60}{100}\times 180=108$