CAT Practice : Averages, Ratios, Mixtures

When we mix two mixtures in a particular ratio, we get a third mixture. Given the third mixture how does one find the ratio in which they were mixed.

Alligation

    Q.27: 40% of a club’s revenue comes from people of 25 years of age while 60% of its revenue comes from people of 35 years of age. If the club raises its fee by 20% for its 25 years old members and 30% for 35 years old members, what is the percentage increase in overall revenue of the club?
    1. 26%
    2. 25%
    3. 24%
    4. 23%

 

  • Correct Answer
    Choice A. 26%

Detailed Solution

The ages 25 years and 35 years are just to confuse and do not have any role in the solution.
Here, 40% and 60% are n1 and n2 while increase in 20% and 30% are A1 and A2 so,

= )
= )
= ) 90 – 3x = 2x – 40
= ) 130 = 5x = ) x = 26%

Correct Answer: 26%



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