Raman can do a work in 5 days, Jatin can do the same work in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 2860, then what is the share (in Rs) of Raman?

Raman can do a work in 5 days

Jatin can do the same work in 7 days

Sachin can do the same work in 9 days

$$\frac{1}{R+J+S}=\frac{1}{5}+\frac{1}{7}+\frac{1}{9}$$

$$\frac{1}{R+J+S}$$ = $$\frac{63+45+35}{315}$$

$$\frac{1}{R+J+S}$$ = $$\frac{143}{315}$$

$$R+J+S$$ = $$\frac{315}{143}$$

All 3 together can complete the work in $$\frac{315}{143}days$$

if total money earned = 2860, then

Raman's share = $$\frac{1}{5}*\frac{315}{143}*2860 = \frac{63}{143}\times 2860=1260$$

so the answer is option A.