A drum of kerosene oil is $\frac{3}{4}$ full. When 15 litres of oil is drawn from it, it is $\frac{7}{12}$  full. Find the total capacity of the drum.

Given: 

A drum of kerosene oil is $\frac{3}{4}$ full. When 15 litres of oil is drawn from it, it is $\frac{7}{12}$  full 

To do: Find the capacity of the drum

Solution:

Let the total capacity be $x$

$3\frac{x}{4}$-15=7$\frac{x}{12}$

$\frac{3x-60}{4}=7\frac{x}{12}$ 

$3x-60(12)=7x \times 4$

$36x-720 =28x$

$36x-28=720$

$8x=720$

$x=90$

 Therefore the total capacity of the drum is 90L

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Updated on: 10-Oct-2022

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