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

27:13

Concentration of milk in 1st solution = $\frac{7}{9}$
Concentration of milk in 2nd solution = $\frac{9}{13}$
Concentration of milk in final solution = $\frac{3}{4}$
Using alligation, we get



We get ratio as $\frac{0.0576}{0.0277}$ = 2.07
Checking for options, we get $\frac{27}{13}$ = 2.07.
Hence, option (b) is the correct option.