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In a class of 140 students, 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 students, 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

Number of boys = 3/7 × 140 = 60

Number of girls = 4/7 × 140 = 80

Number of students who passed in a test = 3/5 × 140 = 84

Number of students who failed in a test = 2/5 × 140 = 56

Number of boys who passed in a test = 1/3 × 60 = 20

Number of boys who failed in a test = 2/3 × 60 = 40

Number of girls who passed in a test = 84 – 20 = 64

Number of girls who failed in a test = 56 – 40 = 16

Desired ratio = 64/16 = 4 : 1

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