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400 students took a mock test; \(60\%\) of the boys and \(80\%\) of the girls cleared the cut off in…

Let girls be g and boys \(400-g\). Then \(0.6(400-g) + 0.8g = 0.65 \times 400 = 260\), so \(240 + 0.2g = 260\) and \(g = 100\). Hence 100 girls appeared.

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

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Let girls be g and boys 400−g400-g. Then 0.6(400−g)+0.8g=0.65×400=2600.6(400-g) + 0.8g = 0.65 \times 400 = 260, so 240+0.2g=260240 + 0.2g = 260 and g=100g = 100. Hence 100 girls appeared.

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