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

Step 1: Let the total number of pages be \(x\).
Rani has read \(\frac{3}{5}\) of the book, and there are still 80 pages left to read. The remaining portion of the book, therefore, is \(1 - \frac{3}{5} = \frac{2}{5}\).

Step 2: Set up the equation.
The remaining pages \(\frac{2}{5}x\) are given as 80. Therefore, we can write the equation: \[ \frac{2}{5}x = 80. \]

Step 3: Solve for \(x\).
To find \(x\), multiply both sides of the equation by \(\frac{5}{2}\): \[ x = 80 \times \frac{5}{2} = 200. \]

Step 4: Conclusion.
Thus, the total number of pages in the book is \(x = 200\).

Final Answer: 200.