Question

Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio. In what ratio of volumes should the liquids in Bottle 1 and Bottle 2 be combined to obtain a mixture of milk and water in 3 : 1 ratio?

• A. 27 : 14
• B. 27 : 13
• C. 27 : 16
• D. 27 : 18

Answer 1

The Correct Option is B

The correct answer is (B):
Concentration of milk in the first bottle is 7/9 and that in the second bottle is 9/13. They need to be mixed in a certain ratio to get a solution which has 3/4th milk.
Applying alligation,
(Liquid taken from bottle 1)/(Liquid taken from bottle 2) = (bottle 2)
= 9/13-3/4/3/4-7/9
= 27/13.