On children's day, chocolates are to be distributed in a school consisting of 1080 children, the number of chocolates given to each boy and girl is in the ratio 1 : 2, But on that particular day, 70 girls out of total 520 were absent so their chocolates were equally distributed among the boys of the school due to which each boy gets one extra chocolate, find the total number of chocolates.
This questions was previously asked in
RRB PO Prelims (06 Aug 2023, Shift 4)
Explanation:
- The school has 1080 children: 560 boys and 520 girls.
- Chocolates are given in the ratio 1:2 (boys:girls).
- Normally, each girl gets twice as many chocolates as each boy.
- On Children's Day, 70 girls were absent; so 70 girls' chocolates went to the boys.
- Boys received 1 extra chocolate due to this redistribution.
- Let's calculate: if \( x \) chocolates per boy, then \( 2x \) for each girl.
- For 70 girls, \( 70 \times 2x = 140x \) chocolates were redistributed.
- 140x chocolates divided among 560 boys gives each boy 1 extra: \( \frac{140x}{560} = 1 \).
- Solving gives \( x = 4 \), so each boy receives 4 chocolates.
- Each girl receives \( 2 \times 4 = 8 \) chocolates.
- therefore, total chocolates = \( 560 \times 4 + 520 \times 8 = 2240 + 4160 = 6400 \).
The correct answer is:
- Option: 5 - 6400
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By: Parvesh Mehta