-
Three containers have their volumes in the ratio 3 : 4 : 5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of (4 :1), (3 : 1) and (5 : 2) respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is
-
- 4 : 1
- 151 : 48
- 157 : 53
- 5 : 2
Correct Option: C
Let the volumes of three containers be 3 litres, 4 litres and 5 litres respectively.
Container–I
| Milk = | = | litres, | ||
| 5 | 5 |
| Water = | litre | |
| 5 |
Container–II
| Milk = | = 3 litres, | |
| 4 |
Water = 1 litre
Container–III
| Milk = | = | litres | ||
| 7 | 7 |
| Water = | litres | |
| 7 |
∴ Required ratio in container–IV
| = |  | + 3 + |  | : | | + 1 + | | ||||
| 5 | 7 | 5 | 7 |
| = | | | : | | | ||
| 35 | 35 |
| = | : | ||
| 35 | 35 |
= 157 : 53
