Question
What is the respective ratio of the number of girls who
attended seminar on topic A and number of boys who attended seminar on topic D? Study the following information carefully and answer the given questions: In a college there are 500 students who have attended seminars on four different topics viz. A, B, C and D. Forty percent of the students attended seminar on topic B. Twenty percent of the students attended seminar on topic C. The ratio of the number of boys to number of girls attended seminar on topic B is 3:2. Number of students attended seminar on topic D is 150. Number of boys attended seminar on topic A is 100 less than number of boys attended seminar on topic B. The ratio of the number of girls to number of boys attended seminar on topic C is 3:1. 90 girls attended seminar on topic D.Solution
Total number of students attended seminar on topic B = (40/100) × 500 = 200 Total number of students attended seminar on topic C = (20/100) × 500 = 100 Number of boys attended seminar on topic B = (3/5) × 200 = 120 Number of girls attended seminar on topic B = (2/5) × 200 = 80 Number of boys attended seminar on topic A = 120 - 100 = 20 Number of boys attended seminar on topic C = (1/4) × 100 = 25 Number of girls attended seminar on topic C = (3/4) × 100 = 75 Number of boys attended seminar on topic D = 150 - 90 = 60 Total number of students attended seminar on topic A = 500 – (200 + 100 + 150) = 50 Number of girls attended seminar on topic A = 50 - 20 = 30 Required ratio = 30:60 = 1:2
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