# The ratio of the number of boys and girls who appeared for the exam is 15:7. Out of the total number of boys and girls, the number of boys and girls who cleared their exams is in the ratio of 3:2. Find out the percentage of boys who passed in the exam if it is given that 65 % of the girls cleared their exams.

The ratio of the number of boys and girls who appeared for the exam is 15:7. Out of the total number of boys and girls, the number of boys and girls who cleared their exams is in the ratio of 3:2. Find out the percentage of boys who passed in the exam if it is given that 65 % of the girls cleared their exams.

a. 40 %

b. 41.5 %

c. 45.5 %

d. 44.5 %

e. None of the above

Which one is correct answer?

Your Correct answer: c

I have solved this problem thus, you can read my Explanation for your better understanding:

According to the question,

The ratio of the number of boys and girls who appeared for the exam = 15:7 …..i

Hence, let the total number of boys = 15x …………..ii

And, the total number of girls = 7x ……………iii

It is also given that, the total % of girls who passed the exam = 65 % ……..iv

∴ Number of girls passing the examination = 7x * (65/100) = 4.55x …………v

It is also given that, the ratio of the number of boys and girls passing the exam = 3:2………….vi

∴ The number of boys who passed the exam = 3 * (4.55x) / 2 = 6.825x ………….vii

∴ % of boys passing the exam = (6.825x /15x) * 100 = 45.5 % ……..viii

Thus, 45.5% of the boys passed the examination.

Hence, the correct answer is option c.

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