GATE Papers >> EEE >> 2019 >> Question No 7

Question No. 7 EEE | GATE 2019

The ratio of the number of boys and girls who participated in an examination is 4:3. The total percentage of candidates who passed the examination is 80 and the percentage of girls who passed is 90. The percentage of boys who passed is ______.


Answer : (B) 72.50


Solution of Question No 7 of GATE 2019 EEE Paper

Given, ratio of number of boys to girls who participated in the exam=4:3

Let, total students participated in the examination = 7x;

Given, total pass percentage = 80%

Total number of students passed in the examination $ =7\mathrm x\times\frac{80}{100}=5.6\mathrm x $ and 

The percentage of girls who passed = 90%

i.e., number of girls who passed $ =3\mathrm x\times\frac{90}{100}=2.7\mathrm x $ [Since the number of girls participated = 3x]

$ \therefore $    Number of boys who passed in the exam = 5.6x - 2.7x = 2.9x

$ \therefore $    Required % $ =\frac{2.9\mathrm x}{4\mathrm x}\times100=72.50 $

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