Question

If $\frac{a}{b}$ = $\frac{5}{7}$ then find the ratio $\frac{5a-b}{b}$ ?

• A. $\frac{17}{7}$
• B. $\frac{16}{7}$
• C. $\frac{18}{7}$
• D. $\frac{25}{7}$

Answer 1

The correct option is C $\frac{18}{7}$

Given $\frac{a}{b}=\frac{5}{7}$

$\Rightarrow \frac{5a}{b}=\frac{5\times 5}{7}$
$\Rightarrow \frac{5a-b}{b}=\frac{25-7}{7}$ (Using Dividendo)

$\Rightarrow \frac{5a-b}{b}=\frac{18}{7}$
Hence
$\frac{5a-b}{b}=\frac{18}{7}$