Question:
Sonal attended her school on 204 days in a full year. If her attendance is 85%, find the number of days on which the school was opened.
Solution:
Let $x$ be the number of days the school was opened.
Number of days Sonal attended school $=204$ days
Percentage of her attendance $=85 \%$ of $\mathrm{x}$
$=\left(\mathrm{x} \times \frac{85}{100}\right)$
$=\frac{85 \mathrm{x}}{100}$
Now, $\frac{85 x}{100}=204$
$\Rightarrow x=\left(204 \times \frac{100}{85}\right)$
$\Rightarrow x=240$
$\therefore$ The school was opened for 240 day.
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