Question

$A$ can do a job in $10$ days while $B$ can do it in $15$ days. If they work together and earn $₹3500$, how should they share the money?

Answer 1

Given,

$A$ can do a job in = $10$ days

So, $A$’s $1$ day's job is = $\frac{1}{10}$

$B$ can do a job in $15$ days

So, $B$’s $1$ day job is $=\frac{1}{15}$

Job done by both $A$ and $B$ in one day $=\frac{1}{10}+\frac{1}{15}$

$=\frac{3+2}{30}=\frac{5}{30}=\frac{1}{6}$

For $\frac{1}{6}$ part of work the earnings is = $₹3500$

So, for $1$ part of work the earnings is = $₹3500\times 6$

Therefore,

For $\frac{1}{10}$ part of work earning = $₹\frac{3500\times 6}{10}=₹2100$

For $\frac{1}{15}$ part of work earning = $₹\frac{3500\times 6}{15}=₹1400$

$\therefore$ $A$ gets $₹2100$ and $B$ gets $₹1400$