Two vessels X and Y contain spirit and water mixed in the ratio 7 1 and 3 5 respectively Find the ra...........

Quantitative Aptitude (CDS) Mixture and Alligation

Two vessels X and Y contain spirit and water mixed in the ratio 7:1 and 3:5 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel Z containing spirit and water in the ratio 5:3?

4:3

1:1

5:6

7:9

Explanation:

Let the C.P. of the spirit be Rs.1 per liter.
Spirit in 1-liter mix. of X = 7/8 liter
C.P. of 1 liter mix. In X = Rs.7/8
Spirit in 1-liter mix. of Y = 3/8 liter
C.P. of 1-liter mix. Y = Rs.3/8
Spirit in 1-liter mix. of Z liter = 5/8 liter
Mean price =Rs.5/8
By the rule of alligation, we have,
Required ratio = (5/8 – 3/8 ) / 7/8 – 5/8
= 1/1 = 1:1