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Q.

If drum of water is $\frac{3}{4}$ full when 9 litres were drawn from it, it is half full then capacity of drum is

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a

37 litres

b

27 litres

c

36 litres

d

30 litres

answer is A.

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Detailed Solution

Let the capacity of drum be

x m^{3}

Water in the drum

After 9liters were drawn from it $= \frac{x}{2} m^{3}$

$\frac{3 x}{4} - \frac{x}{2} = 9 l \Rightarrow \frac{x}{4} = 9 \Rightarrow x = 36 m^{3}$

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