**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**

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