Question

If $8p-9q=7q+3p$, calculate the numerical value of $\frac{2p}{5q}$

• A. $\frac{6}{25}$
• B. $1\frac{7}{25}$
• C. $\frac{8}{25}$
• D. $1\frac{4}{25}$

Answer 1

The correct option is B $1\frac{7}{25}$

Given, $8p-9q=7q+3p$
$\Rightarrow 8p-3p=7q+9q$
$\Rightarrow 5p=16q$
$\Rightarrow \frac{p}{q}=\frac{16}{5}$
On multiplying numerator by $2$ and denominator by $5$ both sides, we get
$\Rightarrow \frac{2p}{5q}=\frac{32}{25}$

$\Rightarrow \frac{2p}{5q}=\frac{25+7}{25}$

$\Rightarrow \frac{2p}{5q}=1+\frac{7}{25}$

$\Rightarrow \frac{2p}{5q}=1\frac{7}{25}$
Option $B$ is correct.