Rajni can do 25% less work than Mohan and Mohan can do 20% more work than Rizwan. At the end of the completion of the work, what will be Mohan’s share out of the profit of Rs. 930?

Correct option is B

Given:

Rajni can do 25% less work than Mohan.

Mohan can do 20% more work than Rizwan.

Solution:
Let the amount of work done by Rizwan be R units.

Mohan can do 20% more work than Rizwan.

So, the work done by Mohan is:
Work by Mohan} = R + 0.2R = 1.2R

Rajni can do 25% less work than Mohan.

So, the work done by Rajni is:

Work by Rajni = $$1.2R - 0.25 \times 1.2R = 0.75 \times 1.2R = 0.9R$$​​

The total work done by Rajni, Mohan, and Rizwan is:
Total work= 0.9R + 1.2R + R = 3.1R

Mohan’s share of the profit

Mohan’s share =$$\frac{\text{Work by Mohan}}{\text{Total work}} \times \text{Total profit}$$​​

Mohan’s share =$$\frac{1.2R}{3.1R} \times 930 = \frac{1.2}{3.1} \times 930$$​​

                                         = $$\frac{1.2 \times 930}{3.1} = \frac{1116}{3.1}$$​​
Thus, Mohan’s share of the profit is:Rs.360