Question

If $\frac{5}{8}=\frac{20}{\text{p}}$,then the value of $p$ is :

• A. $23$
• B. $2$
• C. $32$
• D. $16$

Answer 1

The correct option is C

$32$

Given : $\frac{5}{8}=\frac{20}{\text{p}}$

Cross-multiplying, we get

$$\begin{gathered} \Rightarrow 5\times \mathrm{p}=20\times 8 \\ \Rightarrow 5\mathrm{p}=180 \\ \Rightarrow \mathrm{p}=\frac{180}{5} \\ \Rightarrow \mathrm{p}=32 \end{gathered}$$

Therefore, option (C) is the correct answer.