A alone can finish a work in 10 days and B alone can do

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A alone can finish a work in 10 days and B alone can do it in 15 days. If they work together and finish it, then out of a total wages of Rs. 75, A will get ?

1. Rs. 30
2. Rs. 37.50
3. Rs. 45
4. Rs. 50

Correct Option: C

Since a alone can finish a work in 10 days and B alone can do it in 15 days. So if they work together then the ration of work done by A and B is = (1/10) : (1/15).

∴ The wages A will get = (1/10)[(1/10) + (1/15)] x 75
= Rs. 45