A bucket contains a mixture of two liquids A amp B in the proportion 5 3 If 16 litres of the mixture...........

Quantitative Aptitude ( CCS) Ratio, Proportion

A bucket contains a mixture of two liquids A & B in the proportion 5 : 3. If 16 litres of the mixture is replaced by 16 litres of liquid B, then the ratio of the two liquids becomes 3 : 5. How much of the liquid B was there in the bucket?

16.5 l

18 l

14.5 l

15 l

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Explanation:

Let bucket contains 5x and 3x of liquids A and B respectively.
When 16 litres of mixture is replaced, A and B has a mixture is
[5x – (5/8)*16] = (5x – 10)
[3x – (3/8)*16] = (3x – 6)
Ratio (5x – 10)/(3x – 6+16) = 3/5
(5x – 10)/(3x +10) = 3/5
X=5.
So, quantity of liquid B initially,
= 3*5 = 15 litres.

Hence, option 4 is the correct answer.