Question

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

Answer 1

Answer:

Let the cost of 1 litre milk be Re. 1

Milk in 1 litre mix. in 1st can = 3 litre, C.P. of 1 litre mix. in 1st can Re. 3

4 4

Milk in 1 litre mix. in 2nd can = 1 litre, C.P. of 1 litre mix. in 2nd can Re. 1

2 2

Milk in 1 litre of final mix. = 5 litre, Mean price = Re. 5

8 8

By the rule of alligation, we have:

C.P. of 1 litre mixture in 1st can C.P. of 1 litre mixture in 2nd can

3

4

Mean Price

5

8

1

2

1

8

1

8

Ratio of two mixtures = 1 : 1 = 1 : 1.

8 8

So, quantity of mixture taken from each can = 1 x 12 = 6 litres.

2