Question

A book consists of $432$ pages. Nitin read $\frac{3}{4}$ of it during first week and $\frac{1}{2}$ of the remaining during second week. How many pages left unread?

Answer 1

Find the number of pages left unread

Given that, total pages of book$=432$

Pages read during first week$=\frac{3}{4}of432$

$$\begin{gathered} =\frac{3}{4}\times 432 \\ =\frac{3}{\sout{4}}\times \sout{432} \\ =3\times 108 \\ =324 \end{gathered}$$

Remaining pages$=432-324=108$

Pages read during second week$=\frac{1}{2}of108$

$$\begin{gathered} =\frac{1}{2}\times 108 \\ =\frac{1}{\sout{2}}\times \sout{108} \\ =54 \end{gathered}$$

Pages left unread $=$ Remaining pages after first week$-$pages read during second week

$$\begin{gathered} =108-54 \\ =54 \end{gathered}$$

Hence, $54$ pages are left unread.