MCQ
If $\frac{5}8=\frac{20}{\text{p}},$ then value of $p$ is:
  • A
    $23$
  • B
    $2$
  • $32$
  • D
    $16$

Answer

Correct option: C.
$32$

Given, $\frac{5}{8}=\frac{20}{\text{p}}$
We know that, if two fractions $\frac{\text{a}}{\text{b}}$ and $\frac{\text{c}}{\text{d}}$ are equvalent.
Then, $\text{a}\times\text{d}=\text{b}\times\text{c}$
$\Rightarrow5\times\text{p}=8\times20$
$\Rightarrow\text{p}=\frac{8\times20}{5}$
$\Rightarrow\text{p}=\frac{160}{5}=32$
Hence, the value of $p$ is $32.$

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