### CAT - Percents

**Question:**

P
is x% more than Q. Q is (x - 10)% less than R. If P > R, what is the range
of values x can take?

A. 10% to 28%

B. 10% to 25%

C. 10% to 37%

D. 10% to 43%

**Correct Answer: (C)**

**Explanation:**

P = Q

Q = R

R =

P > R

(100 + x) (110 – x) >
100 x 100

11,000 + 110x – 100x – x

^{2}> 10000
1000 + 10x – x

^{2}> 0
x

^{2}– 10x – 1000 < 0
x

^{2}– 10x + 25 < 1000 + 25
(x – 5)

^{2}< 1025
x – 5 < 32

x < 37

x could range from 10% to
37%

**Answer Choice (C)**

**Difficulty level II**

Labels: 2iim Chennai, CAT Coaching classes Chennai, CAT Percentages, CAT questions, CAT Sample questions

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