CAT Practice : Percents, Profits

Percentages + algebra + Inequalities = Potent cocktail.

Percentages - Variables

    Q.14: A is x % more than B. B is y% less than C. If A, B and C are positive and A is greater than C, find the relation between x and y.
    1. y (1 - x) < x
    2. y (1 - x) > x
    3. y (1 + x) < x
    4. y (1 + x) > x

 

  • Correct Answer
    Choice C. y (1 + x) < x

Detailed Solution

a = (1 + x) b
b = c (1 - y)
c =

a is greater than c
Or, b (1 + x) >
1 + x >
(1 + x) (1 - y) > 1
1 + x - y - xy > 1
x > y (1 + x)
y < . Choice (C).

Correct Answer: y (1 + x) < x



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