Question

What is the value of $\frac{P+Q}{P-Q},$ if $\frac{P}{Q}=7$

• A. $4:3$
• B. $3:4$
• C. $7:1$
• D. $1:7$

Answer 1

The correct option is A $4:3$

Given

$\Rightarrow \frac{P}{Q}=7$

$P:Q=7:1$

By applying componendo and dividendo

$\frac{P+Q}{P-Q}=\frac{7+1}{7-1}$

$\frac{P+Q}{P-Q}=\frac{8}{6}=\frac{4}{3}$

$(P+Q):(P-Q)=4:3$.