Tick (✓) the correct answer:
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 Rs 3000, A will get
(a) Rs 1200
(b) Rs 1500
(c) Rs 1800
(d) Rs 2000
(c) Rs 1800
Since the wage distribution will follow the work distribution ratio, we have:
Work done by $\mathrm{A}$ in 1 day $=\frac{1}{10}$
Work done by $B$ in 1 day $=\frac{1}{15}$
Net work done by $(\mathrm{A}+\mathrm{B})$ in 1 day $=\frac{1}{10}+\frac{1}{15}=\frac{5}{30}=\frac{1}{6}$
i.e., $(A+B)$ will take 6 days to complete the work.
A's share of work in a day $=\frac{1}{10} \div \frac{1}{6}=\frac{1}{10} \times \frac{6}{1}=\frac{6}{10}=\frac{3}{5}$
$\therefore$ A's wage $=\frac{3}{5} \times 3000=\mathrm{Rs} 1800$