# A sum of money is divided in the ratio 4:3. The largest part is Rs 72. Find the smalest part?

Feb 25, 2018

$54 \setminus \text{Rs}$

#### Explanation:

If the money is divided in the ratio of $4 : 3$, then $4$ is the larger ratio. We got $72 \setminus \text{Rs}$ in the larger part, so $1$ part will be

(72 \ "Rs")/4=18 \ "Rs"

So, the smaller part will be

$18 \setminus \text{Rs"*3=54 \ "Rs}$

Feb 25, 2018

If the largest part is $\text{Rs 72}$, that means $4 \to \text{Rs 72}$
Essentially, $4$ represents $\text{Rs 72}$, so if you divide $\text{Rs 72}$ by $4$, you get $\text{Rs 18}$. So each unit represents $\text{Rs 18}$.
$\text{Rs 18" * 3 = "Rs 54}$