Question

Two vessels A and B contain spirit and water mixed in the ratio $5:2$ and $7:6$ respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio $8:5$?

• A. $4:8$
• B. $3:4$
• C. $5:6$
• D. $7:9$

Answer 1

Answer: (D)

$7:9$

Spirit in 1 litre mix of $X=\frac{5}{7}$litre.

Spirit in 1 litre mix of $Y=\frac{7}{13}$ litre.

Spirit in 1 litre mix of$Z=\frac{8}{13}$litre.

By rule of the allegation, we have required ratio $A:B$

A : B

$\frac{5}{7}$ $\frac{7}{13}$

\ /

$\frac{8}{13}$

/ \

$\frac{1}{13}$ : $\frac{9}{91}$

7 9

so, required ratio $=\frac{1}{13}:\frac{9}{91}$

$=7:9$