Milk and water are mixed in a vessel A as 4 1 and in vessel B as 3 2 For vessel C if one takes equal......

Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C.

Ratio of Milk and water in a vessel A is 4 : 1

Ratio of Milk and water in a vessel B is 3 : 2

Ratio of only milk in vessel A = 4 : 5

Ratio of only milk in vessel B = 3 : 5

Let 'x' be the quantity of milk in vessel C

Now as equal quantities are taken out from both vessels A & B

4/5                   3/5
              x 
3/5-x              x - 4/5

= 3/5−x /x−4/5 = 1/1 (equal quantities)

x = 7/10

Therefore, quantity of milk in vessel C  = 7

= Water quantity = 10 - 7 = 3

The ratio of milk & water in vessel 3 is 7 : 3

Hence, option 2 is the correct answer.

By: Amit Kumar