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 ?​

Answer 1

Bottle 1 and bottle 2 contains mixture of milk and water in the ratio 7 : 2 and 9 : 4 respectively.

We have to find by what ratio bottle 1 and Bottle 2 should be combined to obtain a mixture of milk and water in the ratio 3 : 1

Bottle 1 and 2 are mixed in the ratio 27 : 13

Answer

27 : 13

Answer 2

Quantitative Aptitude – Arithmetic – Mixtures, we can see that,

Volume of Bottle 1 = A

Volume of bottle 2 = B

Ratio in which mixtures of Bottle 1 and Bottle 2 will be mixed

(7A/9 + 9B/13)/ (2A/9+4B/13) = 3/1

On solving we get, A/B = 27/13

Option (B)