Question

Rohini has just finished reading 204 pages of a storybook. She plans to finish reading the rest of the book in the next 7 days by reading the same number of pages each day. If she reads 35% of the book in the next 5 days, how many pages does the book have?

• A. 300
• B. 400
• C. 600
• D. 500

Answer 1

The correct option is B 400

Percentage of the number of pages read in 5 days is 35%

It is given that the same number of pages are read each day.
⇒ Percentage of the number of pages read each day is 7%

Percentage of the number of pages read in 7 days will be 7 × 7% = 49%

So, 204 pages is 51% of the total number of pages of the book.
[∵ 100 - 49 = 51]

$\Rightarrow 51=\frac{204}{\text{Total number of pages}}$ × 100
$\Rightarrow 1=\frac{4}{\text{Total number of pages}}$ × 100
$\Rightarrow \text{Total number of pages}=4\times 100=400$

∴ The total number of pages in the book is 400.