Query Detail : SSC CGL Tier I

10 gallons are drawn from a container full of alcohol and filled with water again. 10 gallons of mixture are again drawn and the container is filled with water again. If the ratio of alcohol and water left in the container is 49 : 32, then find how much quantity does the container hold? Correct answer: 45 gallons.
Garima,   November 18th 2019,  
SSC CGL Tier I


Ratio of alcohol to water = 49:32

Ratio of alcohol to total mixture = 49: 81

Let total mixture= x gallons 

So  (1 - 10/x)^2 = 49/81 = (7/9)^2 

(1-10/x) = 7/9

2/9 = 10/x

x = 45 gallons