Subject: General Aptitude · Chapter: Alligation or Mixture · Exam: · Marks: · Difficulty:
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5 ?
(a)4 litres, 8 litres
(b)6 litres, 6 litres
(c)5 litres, 7 litres
(d)7 litres, 5 litres
Answer
Answer (as printed):
Explanation
Let cost of 1 litre milk be ` 1. 3 Milk in 1 litre mix. in 1st can = litre, 4 3 C.P. of 1 litre mix. in 1st can = ` . 4 1 Milk in 1 litre mix. in 2nd can = litre, 2 1 C.P. of 1 litre mix. in 2nd can = ` . 2 5 Milk in 1 litre of final mix. = litre, 8 5 Mean price = ` . 8 By the rule of alligation, we have : C.P. of 1 litre C.P. of 1 litre mixture in 1st can mixture in 2nd can 3 1 4 Mean price 2 5 8 1 1 8 8 1 1 ∴ Ratio of two mixtures = : = 1 : 1. 8 8 So, quantity of mixture taken from each can 1 = ×12 = 6 litres. 2
Explanation as extracted from the printed page; notation may be imperfect.