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Question
On teacher's day 33200 sweets were to be equally distributed amongst a certain number of children. But on that particular day 80 children remained absent hence each child got 2 sweets extra. How many children were originally supposed to be there?
Options:
A .  320
B .  500
C .  540
D .  400
E .  Cannot be determined
Answer: Option D


Let the original number of children be x.

3200/(x-80) - 3200/x  = 2

=> 3200((x-x+80)/(x(x-80))) = 2

=> x(x-8) = 1600 * 80

=> x(x-80) = 400(400-80)

=>x = 400




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