The ratio of the number of boys to that of girls in a school is 5 2 If 87 of the boys and 80 of the ...........

Quantitative Aptitude (CPO) Percentage

The ratio of the number of boys to that of girls in a school is 5 : 2. If 87% of the boys and 80% of the girls passed in the annual

exams, then find the percentage of students who failed in the annual exams.

This questions was previously asked in

SSC CPO 10th Nov 2022 Shift 1

18%

16%

15%

17%

To solve the problem, let's consider the following:

- Assume the total number of students: Boys = 5x, Girls = 2x (according to the ratio 5:2).

- Calculate the number of boys who passed: 87% of boys = 0.87 * 5x = 4.35x.

- Calculate the number of girls who passed: 80% of girls = 0.80 * 2x = 1.6x.

- Total students = 5x + 2x = 7x.

- Total students who passed = 4.35x + 1.6x = 5.95x.

- Students who failed = Total students - Students who passed = 7x - 5.95x = 1.05x.

- Percentage of students who failed = (1.05x / 7x) * 100 = 15%.

- Correct Answer: 15%

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