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 – 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)


Difficulty level II

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IIM CAT Preparation Tips: CAT - Percents

Aug 21, 2013

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 – 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)


Difficulty level II

Labels: , , , ,

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