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In the 10th class, there are four sections, namely A, B, C, and D. The ratio of the total number of boys to the total number of girls is 8:9. The ratio of boys to girls in section B is 1:3. The number of girls in sections A and B is the same. The number of boys in section C is 10 less than the number of girls in section C, and the number of girls in section D is 5 less than the number of boys in section B. The number of girls in section C is 55 out of 225 total girls. The ratio of boys in sections A and D is 5:8. Find the average number of students studying in sections B and C of the 10th class.

1. 130
2. 140
3. 100
4. 200

Correct answer: 100

Solution

Using girls in section C as 55 and total girls as 225, the remaining girls are distributed using the equal girls in A and B and the given relation for D. Then use the overall boys:girls ratio 8:9 to get total boys and split them using the section-wise ratios. Finally, compute total students in B and C and take their average.

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