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?

1. 10% to 28%
2. 10% to 25%
3. 10% to 37%
4. 10% to 43%

Explanatory Answer

P = Q

Q = R

R =

P > R

Q >





(100 + x) (110 – x) > 100 x 100
11,000 + 110x – 100x – x² > 10000
1000 + 10x – x² > 0
x² – 10x – 1000 < 0
x² – 10x + 25 < 1000 + 25
(x – 5)² < 1025
x – 5 < 32
x < 37
x could range from 10% to 37%

Answer Choice (C)