A and B can complete a piece of work in 15 days and 20 days respectively. They got a contract to complete the work for ₹77000. The share of A (in ₹) in the contracted money will be:

According to question,

Work done by A in 1 day = $$\frac{1}{15}$$

Work done by B in 1 day = $$\frac{1}{20}$$

Let total time taken to complete the work = $$x$$ days

$$\therefore x(\frac{1}{15}) + x(\frac{1}{20}) = 1$$

$$\Rightarrow \frac{1}{15} + \frac{1}{20} = \frac{1}{x}$$

$$\Rightarrow \frac{4+3}{60} = \frac{1}{x}$$

$$\Rightarrow x = \frac{60}{7} $$ days

So, it will take $$\frac{60}{7}$$ days to complete the work.

$$\therefore$$ Part of work done by A = $$ x(\frac{1}{15})  = \frac{60}{7}\times\frac{1}{15} = \frac{4}{7}$$ of the work.

$$\therefore$$ Share of A = $$77000 \times \frac{4}{7} = ₹44000$$