Question

Three vessels 'P', 'Q' and 'R' of same capacity are all full. Vessels 'P' and 'Q' contain mixture of milk and water in the ratios 4 : 1 and 7 : 3 respectively while vessel 'R' contains only pure milk. The contents of these vessels are poured into a larger vessel 'S'. After drawing 30 litres of mixture from vessel 'S', the final quantity of water left in vessel 'S' is 40 litres, then the capacity of each vessel is:

Accepted Answer

C. Let the capacity of each vessel be $V$ litres. Water in P = $\frac{1}{5}V$, Water in Q = $\frac{3}{10}V$, Water in R = 0. Total water in vessel S = $\frac{1}{5}V + \frac{3}{10}V = \frac{1}{2}V$. Total capacity of vessel S = $3V$. Ratio of water in vessel S = $\frac{V/2}{3V} = \frac{1}{6}$. When 30 litres is drawn, water removed = $\frac{1}{6} 	imes 30 = 5$ litres. Remaining water = $\frac{V}{2} - 5 = 40 \implies \frac{V}{2} = 45 \implies V = 90$ litres.

Mixture Capacity in Three Vessels

Explanation

Practise this under exam conditions