A vessel contains a mixture of milk and water in ratio 14 : 25. 5 litres of mixture is taken out from the vessel and 2.5 litres of pure water and 5 litres of pure milk are added to the mixture. If the resultant mixture contains 20 percent water, what was the initial quantity of mixture in the vessel before replacement in litres?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

2.732

4.235

3.256

14.56

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Concept: If the initial amount of the mixture was x litres, the current amount is

litres depending on the conditions. Find 20% of the amount present, equalise it to the amount of water present in the mixture, create an equation, and solve x.
Let the initial quantity of mixture be x litre.
Given, A vessel contains a mixture of milk and water in ratio 14 : 25
x litre of mixture contains

By taking out 5 litres of the mixture we get;

Depending on the question, add 2.5 litres of pure water and 5 litres of pure milk to the mixture.
Therefore, the current amount of mixture is:

Water present quantity is

According to the question, the current mixture contains 20 percent water.
For this reason,

By solving equation 1 we get: