A 30-liter mixture of milk and water contains 15% water. How much water must be added to it to increase the percentage of water in the solution to 37.5%?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option B i.e 10.8 liters.
A 30-liter mixture of milk and water contains 15% water.
the initial quantity of water in the mixture = 30 of 15%
= 30 × 15 100
= 4.5 liter
the initial quantity of milk in the mixture = 30 - 4.5
= 25.5 liter
Let's assume 'y' liter water was added to make the quantity of water 37.5% in the new mixture.
25.5/4.5 + y = (100 - 37.5)/37.5
25.5/4.5 + y = 62.5/37.5
5.1/(4.5 + y) = 1/3
4.5 + y = 15.3
4.5 + y = 15.3
y = 15.3 - 4.5
= 10.8 litre