Tuesday, 1 November 2011

Arithmetic-14 (CAT-2004)

A milkman mixes 20 litres of water with 80 litres of milk. After selling 1/4th of this mixture, he adds water to replenish the quantity that he has sold. What is the current proportion of water to milk?
(1) 2:3
(2) 1:3  
(3) 1:2  
(4) 3:4
For Answer Click on "Read more" below:

Solution:
The following table represents step by step transactions:

Water
Milk
total

20
80
100
sold 1/4th
20/4 = 5
80/4 = 20
25
Remaining quantity
20-5 = 15
80-20 = 60
75
added water
15+25 = 40


Final quantity
40
60


Final proportion of water to milk = 40:60 = 2:3
Answer (1)

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