Question

A sum of $10,500$ is divided among $A,B$ and $C$ in the ratio $5:6:4$. Find the share of each.

Answer 1

Solution:
Step 1: Calculate the sum of ratio.
Given,amount divided among $A,B$ and $C$ in the ratio = 5:6:4
Total amount divided=$10500$
$\therefore$ Sum of ratio = $5+6+4$ = $15$
$\Rightarrow$ individual share

=$\frac{\text{Total amount}\times \text{individual ratio}}{\text{Sum of ratio}}$

Step 2: Calculate $A^{\prime }s,B^{\prime }s$ and $C^{\prime }s$ share
$\therefore$ $A^{\prime }s$ share=$\frac{10500}{15}$$\times 5$
=$\frac{10500}{3}$
=$3500$
$\therefore$ $B^{\prime }s$ share=$\frac{10500}{15}$$\times 6$
=$\frac{10500\times 2}{5}$
=$4200$
$\therefore$ $C^{\prime }s$ share = $\frac{10500}{15}$$\times 4$
= $\frac{42000}{15}$
= $2800$
Hence,the share of $A$, $B$ and $C$ are $3500$, $4200$ and $2800$ respectively.