In an examination out of 900 students 85% of the boys and 70% of girls passed. How many girls appeared in the examination, if the total pass percentage was 75%?

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answer is A.

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Detailed Solution

Concept- Here, we divide the 900 students into boy and girl groups, with the number of girls being set at 'x,' and the number of boys being set at 900-x. To identify the elusive terms, first apply the specified percentage to the given values in accordance with the query.
It is stated in the question that there are 900 students overall.
If there are x more girls than boys among 900 pupils, the number of guys students will be 900-x.
85 percent of males, or 85 percent of those who responded to the question, passed the test (900-x)
=

Assuming as we did that there are more boys than girls (900-x).
And 70 per cent of the female candidates passed the test, or 70 percent of x
=

Now, it is stated in the question that the overall pass rate was 75%, i.e.