Question

DIvide $₹4340$ among $A,B,C$ so that $A\text{'}s$ share $:B\text{'}s$ share $:C\text{'}s$ share $=\frac{1}{2}:\frac{1}{3}:\frac{1}{5}$

Answer 1

Step $1:$ To divide $₹4340$ among $A,B,C$ in the ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{5}$

$L.C.M$ of $2,3,5=30$

Now multiply by $30$ to the given ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{5}$

$\frac{1}{2}:\frac{1}{3}:\frac{1}{5}$$=$$\frac{1}{2}\times 30:\frac{1}{3}\times 30:\frac{1}{5}\times 30$

$=15:10:6$

Sum of the terms of the ratio $=15+10+6$

$=31$

Step $2:$ Now find the share's of $A,B,C$

$A\text{'}s$ share $=\frac{15}{31}\times 4340$

$=15\times 140$

$=2100$

$B\text{'}s$ share $=\frac{10}{31}\times 4340$

$=10\times 140$

$=1400$

$C\text{'}s$ share $=\frac{6}{31}\times 4340$

$=6\times 140$

$=840$

Hence, the share of $A,B,C$ are $₹2100,$$₹1400$ and $₹840$ respectively