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In a class of 140 student, the ratio of the number of boys to that of girls is 3 : 4. The ratio of number of students who passed in a test to those who failed is 3 : 2. Among the boys, the ratio of the number of those passed to those who failed is 1 : 2. What is the ratio of the number of girls who passed to those who failed?

In a class of 140 student, the ratio of the number of boys to that of girls is 3 : 4. The ratio of number of students who passed in a test to those who failed is 3 : 2. Among the boys, the ratio of the number of those passed to those who failed is 1 : 2. What is the ratio of the number of girls who passed to those who failed? Correct Answer 4 : 1

Total number of students in the class = 140

Ratio of boys to girls is 3 : 4

⇒ Number of boys in the class = 140 × 3/7 = 60

⇒ Number of girls in the class = 140 × 4/7 = 80

Ratio of students who passed to who failed = 3 : 2

⇒ Number of students passed = 140 × 3/5 = 84

⇒ Number of students failed = 140 × 2/5 = 56

Ratio of boys who passed to who failed is 1 : 2

⇒ Number of boys passed = 60 × 1/3 = 20

⇒ Number of boys failed = 60 × 2/3 = 40

⇒ Number of girls passed = 84 – 20 = 64

⇒ Number of girls failed = 56 – 40 = 16

∴ Ratio of the number of girls who passed to those who failed = 64 ∶ 16 = 4 ∶ 1

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