Question

drum of petrol is 3/4 full . when 30 liter of oil are drawn from it ,it is 7/12 full . find the capacity of the drum .

Answer 1

Let Capacity of Drum = X litres.

Initially, Drum was 3X/4 part filled.

30 litres oil drawn then it become, 7X/12 part.

Now, according to question,

3X/4 - 7X/12 = 30

(9X - 7X)/12 = 30

2X = 360

X = 180 litres.

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Answer 2

Given :-

• A drum of petrol is 3/4 full. When 30 L of oil is drawn out from it, it becomes 7/12 full.

To Find :-

• Capacity of the drum.

Solution :-

• Let the capacity of the drum be x L,

$\qquad$ ❄ It's given, when 30 L of oil is drawn out from it, it becomes 7/12 full. Seems that before drawing out 30 L of oil, the drum had 3x / 4 L of petrol.We have to solve this Using Algebraic Expression!

According to the question :-

$\purple{\qquad\quad\tt ↠ \dfrac{ 3x }{ 4} - 30 =\dfrac{ 7x }{ 12}}$

$\qquad\quad\tt ↠ \dfrac{ \bigg(3x - 120 \bigg) }{ 4 }= \dfrac{7x} {12}$

$\qquad\quad\tt ↠ 3x - 120 = \dfrac{7x }{3}$

$\qquad\quad\tt ↠ 9x - 360 = 7x$

$\qquad\quad\tt ↠ 9x - 7x = 360$

$\qquad\quad\tt ↠ 2x = 360$

$\qquad\quad\tt ↠ x =\cancel{\dfrac{360}{2}}$

$\purple{\qquad\quad\tt ↠ x = 180 \: L \bigstar }$

• Hence, The capacity of the drum is 180 L.

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