Radha can complete a piece of work in 3 days, while Raji can complete the same work in 2 days. Both of them complete this work by working together and get ₹150 as the total payment for the work done. What is the share of Radha out of the above payment?

LCM of 3 and 2 is 6 which can be assumed as the total work.

Radha can complete a piece of work in 3 days.

Efficiency of Radha = $$\frac{6}{3}$$ =  2 units/day

While Raji can complete the same work in 2 days.

Efficiency of Raji = $$\frac{6}{2}$$ = 3 units/day

Both of them complete this work by working together and get ₹150 as the total payment for the work done.

As we know that the payment will be distributed among them as per their efficiencies.

So share of Radha out of the above payment = $$150\times\ \frac{2}{2+3}$$

= $$150\times\ \frac{2}{5}$$

= $$150\times0.4$$

= ₹60