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4 friends A, B, C, and D appeared in a certain examination.

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4 friends A, B, C, and D appeared in a certain examination.

by BTGmoderatorLU » Fri Feb 22, 2019 3:10 pm

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Source: e-GMAT

4 friends A, B, C, and D appeared in a certain examination. The marks obtained by B is 33.3% less than A and 50% less than C. If the marks obtained by D is at least 2.5 times of the marks of B, then what is the maximum percentage by which the combined score of A and C is more than the score of D?

A. 30%
B. 35%
C. 40%
D. 45%
E. 60%

The OA is C
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by Jay@ManhattanReview » Mon Feb 25, 2019 11:55 pm
BTGmoderatorLU wrote:Source: e-GMAT

4 friends A, B, C, and D appeared in a certain examination. The marks obtained by B is 33.3% less than A and 50% less than C. If the marks obtained by D is at least 2.5 times of the marks of B, then what is the maximum percentage by which the combined score of A and C is more than the score of D?

A. 30%
B. 35%
C. 40%
D. 45%
E. 60%

The OA is C
As per the given information,

b = a - 33.33% of a => b = 2a/3;
b = c - 50% of c = c/2
=> c = 4a/3

d ≥ 2.5b = 2.5*(2a/3)
d ≥ 5a/3

a + c = a + 4a/3 = 7a/3

The maximum percentage by which the combined score of A and C is more than the score of D = [Combined scores of A and C - minimum score of D] / Minimum score of D

= [(7a/3 - 5a/3) / 5a/3]*100% = 40%

The correct answer: C

Hope this helps!

-Jay
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