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
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 157: 53.
| Application |
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Let the volume be 3x, 4x, and 5x respectively. Container with volume 3x: Milk = 4/(4 + 1) × 3x Water = 1/(4 + 1) × 3x Container with volume 4x: Milk =3/(3 + 1) × 4x Water = 1/(3 + 1) × 4x Container with volume 5x: Milk = 5/(5 + 2) × 5x Water = 2/(5 + 2) × 5x Total milk = (12x/5) + (12x/4) + (25x/7) = (1256x/140). Total water = (3x/5) + (4x/4) + (10x/7) = (424x/140). The ratio of milk to water in 4th container = 1256/424 = 157:53. |