Question

$\text{David reads}\frac{2}{5}\text{of the total pages of a book on Day 1}$ $\text{and}\frac{1}{3}\text{of the total pages of}\text{the book on Day 2 .}$

$\text{The book contains}75\text{pages in all. How}\text{many}$
$\text{pages did David read?}$

• A. 42
• B. 55
• C. 63
• D. 38

Answer 1

The correct option is B 55

$\text{Number of pages in a book = 75}$

$\text{Dravid read}\frac{2}{5}\text{of the total pages of a book on}$
$\text{Day 1.}$

$\text{∴ Number of pages Dravid has read}$
$\text{on Day 1}=75\times \frac{2}{5}$

$=\frac{75\times 2}{5}$

$=\frac{150}{5}$

$=30pages$

On Day 1, David read 30 pages of the book.

$\text{On Day 2, David read}\frac{1}{3}\text{of the total}$
$\text{pages of the book.}$

$\text{∴ Number of pages Dravid has read}$
$\text{on Day 2}=75\times \frac{1}{3}$

$=\frac{75\times 1}{3}$

$=\frac{75}{3}$

$=25pages$

On Day 2, David read 25 pages of the book

Altogether, David has read 30 + 25 = 55 pages.