Test Index

MAT Exam 2020 Paper

Question : 91 of 200

Marks: +1, -0

60 \%

80 \%

65 \%

, how many girls appeared in the test?

Solution:

Concept:

Use the total qualifying count and form an equation by taking the number of girls as

x

Explanation:

Total students who qualified are:

400 \times 65\% = \frac{400 \times 65}{100} = 260

Let the number of girls be

x

So, the number of boys is

(400 - x)

Qualifying girls:

80\% \text{ of } x = \frac{80x}{100} = \frac{4x}{5}

Qualifying boys:

60\% \text{ of } (400 - x) = \frac{60(400 - x)}{100} = \frac{1200 - 3x}{5}

Total qualifying students are 260, so:

\frac{4x}{5} + \frac{1200 - 3x}{5} = 260

Simplify:

\frac{4x + 1200 - 3x}{5} = 260

\Rightarrow \frac{x + 1200}{5} = 260

\Rightarrow x + 1200 = 1300

\Rightarrow x = 100

Answer:

Thus, 100 girls appeared in the test.

Correct option: A. 100.

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