Question

The number of boys and girls who appeared in an exam were in the ratio of 9:7. The number of boys & girls passing exam were in the ratio 3:2. If 60% of girls passed in exam, find the percentage of boys passed in exam.​

Answer 1

Step-by-step explanation:

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Answer 2

Given,

Ratio of boys and girls that took the test = 9:7

Ratio of number of boys and girls  qualified exam = 3:2

Percentage of girls qualified in exam = 60%

To find,

Percentage of boys qualified in exam

Solution,

Let us consider number of boys = 9

Number of girls = 7

Given, 60% of girls qualified the exam.

Here, $\frac{60}{100}(7) = 4.2$

Given , 3:2 boys to girls , qualified the exam,

So 2 parts = 4.2

And, 1 part will be 2.1

As boys qualified is 3 parts, = 3(2.1) = 6.3

Let's find the percentage.

$\frac{6.3}{9}(100)$

= 70%

Hence, percentage of boys who qualified in exam is 70%.