1.

The ratio of petrol and kerosene in 3 vessels of equal capacity is 4 ∶ 3, 2 ∶ 3 and 2 ∶ 5 respectively. Find the ratio of petrol and kerosene in the final fixture, if we mix the solutions of 3 vessels in the ratio of 1 ∶ 2 ∶ 1.1). 23 ∶ 472). 29 ∶ 413). 13 ∶ 174). 27 ∶ 43

Answer»

Suppose the capacity of each vessel is 70 litres;

Since the solutions of 3 vessels are mixed in the ratio of 1 ? 2 ? 1;

QUANTITIES taken from 3 vessels to prepare final mixture must be 35L, 70L and 35L respectively.

Since the ratio of PETROL and kerosene in 3 vessels of equal capacity is 4 ? 3, 2 ? 3 and 2 ? 5 respectively;

QUANTITY of petrol in the final vessel = (35 × 4/7) + (70 × 2/5) + (35 × 2/7) = 20 + 28 + 10 = 58 L

Quantity of kerosene in the final vessel = (35 × 3/7) + (70 × 3/5) + (35 × 5/7) = 15 + 42 + 25 = 82 L

∴ Ratio of petrol and kerosene in the final fixture = 58 ? 82 = 29 ? 41


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