Question

Question 61

Reenu read $\frac{1}{5}th$ pages of a book. If she reads further 40 pages, she would have read $\frac{7}{10}th$ pages of the book. How many pages are left to be read?

Answer 1

Let the total pages of the book be x.
According to the question, $\frac{1}{5}x+40=\frac{7}{10}x\Rightarrow 40=\frac{7}{10}x-\frac{1}{5}x=\frac{7x-2x}{10}\Rightarrow 40=\frac{5x}{10}\Rightarrow x=\frac{400}{5}=80$
$\therefore$ Total pages of a book $=80$
Hence pages lef to be read = total pages of a book- $\left(\frac{7}{10}x\right)$
$=80-\frac{7}{10}\times 80$
$=80-56=24$ pages