Question 21.

A vessel contained a certain amount of a solution of acid and water. When 2 litres of water was added to it, the new solution had 50% acid concentration. When 15 litres of acid was further added to this new solution, the final solution had 80% acid concentration. The ratio of water and acid in the original solution was

A
5 : 3
B
3 : 5
C
5 : 4
D
4 : 5

Question Explanation

Text Explanation

Let's start from the step when there was 50% concentration. 

Let's assume total 2T solution: T acid and T water.

Adding 15 litres of acid increases the acid concentration to 80%, giving the equation T+152T+15=45\frac{T+15}{2T+15}=\frac{4}{5}

Solving this would give us T=5

This means that there were 5 litres of acid and 5 litres of water after mixing 2 litres of water. 

Therefore, there would be 5 litres of acid and 3 litres of water before adding the water. 

We are asked the ratio of water to acid, which would be 3:5

Therefore, Option B is the correct answer. 

Video Explanation
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