In a college, 56% of the students are boys and the rest are all girls. Further, 7.5% of the boys and 10% of the girls are getting a 100% fee waiver. If the number of students receiving a full waiver is 172, then find the number of students who receive a 50% concession on fee which is but 50% of students who are not receiving the full fee waiver.

884

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914

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918

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874

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898

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Solution

The correct option is B 914
% of people receiving full fee waiver $= \frac{7.5}{100} \times 56 + \frac{10}{100} \times 44 = 8.6 %$
Now, 8.6%=172 students
$\Rightarrow$ No.of students in college $= \frac{172}{8.6} \times 100 = 2000$
No. students receiving concession $= \frac{2000 - 172}{2} = 914$

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The correct option is B 914% of people receiving full fee waiver =7.5100×56+10100×44=8.6% Now, 8.6%=172 students ⇒ No.of students in college=1728.6×100=2000 No. students receiving concession =2000−1722=914

The correct option is B 914
% of people receiving full fee waiver $= \frac{7.5}{100} \times 56 + \frac{10}{100} \times 44 = 8.6 %$
Now, 8.6%=172 students
$\Rightarrow$ No.of students in college $= \frac{172}{8.6} \times 100 = 2000$
No. students receiving concession $= \frac{2000 - 172}{2} = 914$