Question

Rani read \(\frac{3}{5}\) of a book. If she finds that there are still 80 pages left to read, then the total number of pages in the book is.

• A. 150
• B. 200
• C. 250
• D. 300

Hint:

To solve such problems, always express the portion of the book read and the remaining part as fractions of the total number of pages.

Answer 1

The Correct Option is B

Let the total number of pages in the book be $T$.
The fraction of the book Rani read is $\frac{3}{5}$.
The fraction of the book remaining to be read is $1 - \frac{3}{5}$.
Fraction remaining = $\frac{5}{5} - \frac{3}{5} = \frac{2}{5}$.
We are given that the number of pages left to read is 80.
So, $\frac{2}{5}$ of the total pages is equal to 80.
We can write this as an equation: $\frac{2}{5} \times T = 80$.
To find $T$, multiply both sides by $\frac{5}{2}$.
$T = 80 \times \frac{5}{2}$.
$T = 40 \times 5$.
$T = 200$.
Therefore, the total number of pages in the book is 200.