If one third of one fourth of a number is $ 15, $ then three tenth of that number is
(1) 34
(2) 44
(3) 54
(4) 64

Given:

One third of one fourth of a number is 15.

To do:
We have to find three tenth of that number.
Solution: 

Let the required number be $x$.

This implies,

One fourth of the number$=\frac{1}{4}x=\frac{x}{4}$.

One third of one fourth of the number$=\frac{1}{3}\times\frac{x}{4}=\frac{x}{12}$

Therefore,

$\frac{x}{12}=15$

$x=15\times12$

$x=180$

Three tenth of the number$=\frac{3}{10}\times180=3\times18=54$.

The correct option is (3) 54.

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Updated on: 10-Oct-2022

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