Generally, percentages on the GMAT convert to common fractions.
For this reason, I suspect that option B is intended to be 33 1/3%, which converts to 1/3.
lheiannie07 wrote:Class B has 50% more students than class A. Number of girls in class A is equal to number of boys in class B. The percentage of girls is the same in both classes. What percentage of the student group are boys?
A. 25 %
B. 33 1/3 %
C. 40 %
D. 50 %
E. 60 %
Since the percentage of girls is the same for each class, so is the percentage of boys.
We can PLUG IN THE ANSWERS, which represent the percentage of boys in each class.
Since option B implies that 1/3 are boys, and option D implies that 1/2 are boys, let the number of students in Class A = a nice round multiple of 3 and 2 = 60 students.
Since Class B has 50% more students, Class B = 60 + (50% of 60) = 60 + 30 = 90 students.
When the correct answer choice is plugged in, the number of girls in Class A will be equal to the number of boys in Class B.
B: 33 1/3 %
Boys in Class A = (1/3)(60) = 20, implying that girls in Class A = 60-20 = 40.
Boys in Class B = (1/3)(90) = 30.
Here, the number of girls in Class A (40) is GREATER than the number of boys in Class B (30).
D: 50 %
Boys in Class A = (1/2)(60) = 30, implying that girls in Class A = 60-30 = 30.
Boys in Class B = (1/2)(90) = 45.
Here, the number of girls in Class A (30) is LESS than the number of boys in Class B (45).
Since option B makes the number of girls in Class A GREATER than the number of boys in Class B, and option D makes the number of girls in Class A LESS than the number of boys in Class B, the correct answer must be BETWEEN options B and D.
The correct answer is
C.
C: 40%
Boys in Class A = (40/100)(60) = 24, implying that girls in Class A = 60-24 = 36.
Boys in Class B = (40/100)(90) = 36.
Success!
The number of girls in Class A (36) is equal to the number of boys in Class B (36).
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