Rita read $\frac{3}{8} t h$ of the book on Monday and $\frac{4}{5} t h$ of remaining on Tuesday. If there were $30$ pages unread, how many pages does the book contains.

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Solution

Let total Pages be $x .$
So, Monday Read $= \frac{3}{8} \times x = \frac{3 x}{8}$
And, Tuesday Read $= \frac{4}{5} (x - \frac{3 x}{8}) = \frac{x}{2}$

Remaining pages to read $= 30$
Total Pages = Monday read + Tuesday read + Remaining pages
$x = \frac{3 x}{8} + \frac{x}{2} + 30$
$\Rightarrow x - \frac{3 x}{8} - \frac{x}{2} = 30$
$\Rightarrow \frac{(8 x - 3 x - 4 x)}{8} = 30$
$\Rightarrow x = 30 \times 8$
$\Rightarrow x = 240.$
Total Pages $= 240.$

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