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… — Answer & Discussion

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?

A12.25 litres
B14.25 litres
C16.25 litres
D8.25 litres

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Discussion 1

CCommunity04 Jun 2019

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