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On teacher?s day 3200 sweets were to be equally distributed amongst a certain number of children. But on that particular day 80 children re…

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On teacher?s day 3200 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 ?
  • A320
  • B500
  • C540
  • D400
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CCommunity
Solution
Let 'x' be the original number of students.
$\frac{3200}{x-80}-\frac{3200}{x}=2$

Substituting options, we see that only x=400 satisfies the equation. Hence, option D is the right answer.