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XAT 2018 Question 52

This is a detailed step-by-step solution for XAT 2018 Question 52. Understand the concept, common mistakes, and expert tips to solve similar questions in XAT exam.

XAT

Liquids A and B are in the ratio 5:3. The volume of water is one-third the total mixture.
Let us assume the volume of the total mixture to be 24x.
Volume of liquid A = 10x
Volume of liquid B = 6x
Volume of water = 8x
The mixture is passed through some medium that absorbs water completely and some quantity of liquid A.
Water absorbed = 8x
Let the amount of liquid A absorbed be y.
8x+y = 200
=> y = 200-8x -----(1)
It has been given that (10x-y)/6x = 7/9
Substituting (1), we get,
(10x-200+8x)/6x = 7/9
(18x-200)/6x = 7/9
162x-1800=42x
120x = 1800
=> x = 1800/120
Amount of water absorbed = 8*1800/120 = 120 ml.
Therefore, option D is the right answer

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