Question

The value of $\frac{q}{p}$, if $\frac{p+q}{p-q}=7$ is

• A. $2$
• B. $\frac{7}{8}$
• C. $\frac{4}{3}$
• D. $\frac{3}{4}$

Answer 1

The correct option is D $\frac{3}{4}$

$\frac{p+q}{p-q}=\frac{7}{1}$
By componendo and dividendo
$\Rightarrow \frac{2p}{2q}=\frac{4}{3}$
$\Rightarrow \frac{q}{p}=\frac{3}{4}$