Question

Three vessels whose capacities are in the ratio 3: 2: 1 are completely filled with milk mixed with water. The ratio of milk and water in the mixture of vessels are 5: 2, 4: 1, and 4: 1 respectively. Taking 33.33% of the first, 50% of the second, and 14.29% of the third, a new mixture is formed and poured into a new vessel. What is the percentage of water in the new vessel?

• A. 20%
• B. 30%
• C. 24%
• D. 29%

Answer 1

The correct option is C 24%

Let there be 105 litres of solution in vessel 1, 70 litres in vessel 2 and 35 litres in vessel 3.

	VESSEL 1	VESSEL 2	VESSEL 3
Milk	75	56	25
Water	30	14	7
Total	105	70	35

Amount of water after taking 33.33% of the first, 50% of the second, and 14.29% of the third and mixing them $=1/3\times 30+\frac{1}{2}\times 14+\frac{1}{7}\times 7=18litres\text{Total}=\frac{1}{3}\times 105+\frac{1}{2}\times 70+\frac{1}{7}\times 35=75litres\text{Water}\%=\frac{18}{75}\times 100=24\%$