400 students took a mock test. 60 percent of the boys and 80 percent of the girls cleared the cut off. If the total percentage of students clearing the cut off is 65 percent, how many girls appeared in the test?

A100 ✓ Correct

B120

C150

D300

Correct answer: (A) 100

Explanation

100 girls appeared in the test.

let girls = g, boys = 400 - g.

0.6(400 - g) + 0.8g = 0.65 x 400 = 260.

240 + 0.2g = 260.

0.2g = 20, so g = 100.

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