Question

Two vessels A and B contain spirit and water 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 ration 8 : 5.

• A. 3: 4
• B. 4: 3
• C. 9: 7
• D. 7: 9

Answer 1

The correct option is D 7: 9

Fraction of spirit in vessel $A=\frac{5}{7}=\frac{65}{91}$
Fraction of spirit in vessel $B=\frac{7}{13}=\frac{49}{91}$
Fraction of spirit required in the final mixture $=\frac{8}{13}=\frac{56}{91}$

Required ratio is 7: 9