CAT 2019 Percentages Question (Hard)

Question

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

Accepted Answer

Step 1 Find the total number of students Let total students Girls 60 of Boys 40 of Given Girls are 30 more than boys So students Step 2 Calculate actual numbers Total students 150 Girls 60 of 150 90 girls Boys 40 of 150 60 boys Verification Step 3 Find students who pass 68 of students pass 68 of 150

CAT 2019

Quantitative

Percentages

Hard

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

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