Question

$A$ alone can finish a piece of work in $10$ days., which $B$ alone can do in $15$ days. If they work together and finish it, then out of total wages of $Rs3000$. A will get

• A. Rs.1200
• B. Rs.1500
• C. Rs.1800
• D. Rs.2000

Answer 1

Answer: (C)

Given:

$A$ can finish a piece of work in $10$ days.

$\Rightarrow$ The part of the work done by $A$ in one day $=\frac{1}{10}$

$B$ can finish a piece of work in $15$ days.

$\Rightarrow$ The part of the work done by $B$ in one day $=\frac{1}{15}$

Ratio of their part of the work is $=\frac{1}{10}:\frac{1}{15}$

$=15:10$ [Since, applied the cross multiplication]

$=3:2$

It is given total wage is $Rs.3000$.

So, the wage of $A=Rs.3000\times \frac{3}{5}$

$=Rs.600\times 3$

$=Rs.1800$

Therefore, $A$ will get $Rs.1800$

Hence, Option C is correct.