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Three vessels whose capacities are 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 1/3 of first, 1/2 of second and 1/7 of third mixtures, a new mixture kept in a new vessel is prepared. The percentage of water in the new mixture is
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- 28
- 32
- 30
- 24
Correct Option: D
Let there be 3 litres, 2 litres and 1 litre of mixtures in three vessels respectively.
Vessel I
In 1 litre of mixture,
| Milk = | litre, water = | litre | ||
| 7 | 7 |
Vessel II
In 1 litre of mixture,
| Milk = | litre, water = | litre | ||
| 5 | 5 |
Vessel III
In 1/7 litre of mixture,
| Milk = | × | = | litre | |||
| 5 | 7 | 35 |
| Water = | litre | |
| 35 |
In new vessel,
| Mixture = 1 + 1 + | |
| 7 |
| = 2 + | |
| 7 |
| = | |
| 7 |
| = | litres | |
| 7 |
| Water = | + | = | |||
| 7 | 5 | 35 |
| = | = | litre | ||
| 35 | 35 |
Required percentage
| = | × 100 | |||
| 35 | ||||
| 7 | ||||
| = | × | × 100 = 24% | ||
| 35 | 15 |
