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In a co-ed school, there are 15 more girls than boys at present. If the number of girls increased by 10% and the number of boys increased by 16%, then there would be 9 more girls than boys. The number of students in the school is ____.

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Detailed Solution

Concept- The number of students in the school is 265.
To solve this question, let us first assume the number of girls in the school to be

and the number of boys to be

.
Then, we will apply the conditions mentioned in theQuestion statement to the assumed variables and form two equations. Solving these equations will give us our desired answer.
Given, there are 15 more girls than boys at present, i.e.,

Now, the number of girls is to be increased by 10%, i.e., number of girls after increment
Question Image

And, the number of boys is to be increased by 16%, i.e., number of boys after increment
Question Image

Now, stated that, after the respective increments, there would be 9 more girls than boys, i.e., Question Image

Now multiplying (i) by 55, we get,
Question Image

Comparing (ii) and (iii), we get,
Question Image

Hence, the correct answer is 265.

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