Question

The ratio of $225m$ to $5km$ is:

• A. $9:200$
• B. $3:500$
• C. $4:300$
• D. $7:100$

Answer 1

The correct option is A

$9:200$

If $p$and $q$are two quantities, then the ratio of $p$ to $q$ is $\frac{p}{q}$ and is denoted as $p:q$ where the terms ( $p$ and $q$) are in the same unit and do not have any common factors other than 1.

Here, the terms $225m$ and $5km$ are not in same unit.

So, lets convert $5km$ in $m$ :

$$\begin{gathered} 1km=1000m \\ 5km=5\times 1000m \\ 5km=5000m \end{gathered}$$

Therefore, $p:q=225m:5000m$

Now let's simplify the ratio:

The highest common factor (H.C.F) of $225$ and $5000$ is $25$.

On dividing both the terms by $25$, we get:

$\frac{225÷25}{5000÷25}=\frac{9}{200}$

Hence, the ratio of $225m$ to $5km$ is $9:200$.