Question

On a school's annual Day, sweets were to be equally distributed amongst 112 children. But on that particular day, 32 children were absent. Thus, the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get ?

• A. 24
• B. 18
• C. 15
• D. Cannot be determined
• E. None of these

Answer 1

The correct option is C 15

Let the total number of sweets be x.
According to the question,
$\frac{x}{112-32}-\frac{x}{112}=6$
$\Rightarrow \frac{x}{80}-\frac{x}{112}=6$
$\Rightarrow \frac{7x-5x}{560}=6$
$\Rightarrow \frac{2x}{560}=6$
$\Rightarrow x=\frac{560\times 6}{2}=1680$
$\therefore$ Required answer $=\frac{1680}{112}=15$