CAT Practice : Averages, Ratios, Mixtures

One needs to recognize that averages and mixtures are effectively two sides of the same coin. This question is designed to drive home that point.

Averages - Mixtures

    Q.13: One needs to recognize that averages and mixtures are effectively two sides of the same coin. This question is designed to drive home that point.

 

  • Correct Answer
    Difference between average of class A and class C: 8.5

Detailed Solution

Let average in class C = x. Average of class B = x +16. Average of class A = y
y = 2 +

20y + 30(x + 16) + 50x / 100

(y - 2) * 10 = 2y + 3x + 48 + 5x
10y - 20 = 2y + 8x + 48
8y - 8x = 68
y - x = 8.5. This is the difference between average of class A and class C.

Correct Answer: 8.5



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