Rajesh can finish a task in 4 days while Mahesh can finish the same task in 3 days. If both of them finish the task together and get paid ₹350 in total, then find the share of Rajesh.

Correct option is B

Given Data:

Rajesh can complete the task in 4 days, so his work rate = $$\frac{1}{4}​$$​of the work per day.

Mahesh can complete the task in 3 days, so his work rate =$$\frac{1}{3}$$​ of the work per day.

Total payment = ₹350.

Concept Used:

$$\text{Rajesh's Share} = \frac{\text{Rajesh's Work Rate}}{\text{Total Work Rate}} \times \text{Total Payment}$$​​

Solution:

​$$\text{Total work per day} = \frac{1}{4} + \frac{1}{3}$$​​

​$$\frac{3}{12} + \frac{4}{12} = \frac{7}{12}$$​​

So, Rajesh and Mahesh together complete$$\frac{7}{12}​$$​ of the work in one day.

​$$\frac{\text{Rajesh's work rate}}{\text{Total work rate}} = \frac{\frac{1}{4}}{\frac{7}{12}}$$​​

​$$= \frac{12}{28} = \frac{3}{7}$$​​

Total payment = ₹350

​$$\text{Rajesh's share} = \frac{3}{7} \times 350=150$$

Option (B) is right.