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A jar contains a mixture of two liquids A and B in the ratio 3 : 1. When 6 litres of the mixture is taken out and 10 litres of liquid B is poured into the jar, the ratio becomes 1 : 3. How many litres of liquid A was contained in the jar?1). 12.25 litres2). 14.25 litres3). 16.25 litres4). 8.25 litres |
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Answer» Let the jar initially contains 3x and x LITRES of mixture A and B respectively ∴ Quantity of A in mixture left = (3x – ¾ × 6) = (3x – 18/4) litres ∴ Quantity of B in mixture left = (x – ¼ × 6) = (x – 6/4) litres Given, ⇒ (3x – 18/4)/((x – 6/4) + 10) = 1/3 ⇒ 9X – 54/4 = x – 6/4 + 10 ⇒ (36x – 54)/4 = (4x – 6 + 40)/4 ⇒ 36x – 4x = 34 + 54 ⇒ 32X = 88 ⇒ x = 2.75 ∴ Amount of liquid A in the jar = 3x = 3 × 2.75 = 8.25 litres |
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