2026 · Q61
A large pot X contains 3 litres mixture consisting of milk and water in the ratio 3 : 2. Another pot Y contains 100 litres mixture consisting of milk and water in the ratio 9 : 1. How many litres of mixture from pot Y are to be poured into pot X to get a mixture with the ratio of milk to water as 17 : 3 in pot X?
general-mental-abilityquantitative-aptitude
- A9
- B12
- C15
- D18
Explanation
Pot X initially has 1.8 L milk and 1.2 L water. Adding y litres from Y (milk:water 9:1) adds 0.9y milk and 0.1y water. Setting (1.8 + 0.9y)/(1.2 + 0.1y) = 17/3 gives 3(1.8 + 0.9y) = 17(1.2 + 0.1y), i.e., 5.4 + 2.7y = 20.4 + 1.7y, so y = 15. Hence 15 litres must be poured.