Percentage of Girls Who Do Not Pass

CAT 2019 Slot 1 · QA · Medium · Percentages

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In a class, 60%60\% of the students are girls and the rest are boys. There are 30 more girls than boys. If 68%68\% of the students, including 30 boys, pass an examination, the percentage of the girls who do not pass is

Answer

20

Explanation

Let total students be 100x100x. Girls =60x= 60x, Boys =40x= 40x. Given 60x−40x=30  ⟹  20x=30  ⟹  x=1.560x - 40x = 30 \implies 20x = 30 \implies x = 1.5. Total students =150= 150, Girls =90= 90, Boys =60= 60. Total passed =68%= 68\% of 150=102150 = 102. Passed boys =30= 30, so passed girls =102−30=72= 102 - 30 = 72. Girls who did not pass =90−72=18= 90 - 72 = 18. Percentage of girls who did not pass =1890×100=20%= \frac{18}{90} \times 100 = 20\%.

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