X, the Works manager, gets 5% commission of net profits after charging his commission and Y’s commission. Y, the General Manager, gets 10% commission on net profits after charging his commission and X’s commission. If the profit before charging commission of X and Y is Rs. 1,000, the commission of X will be:

The correct answer is: A. Rs. 42.50

Let’s solve this step-by-step.

First, we need to find the net profit after charging Y’s commission. To do this, we multiply the total profit by 0.9, which is 100% minus Y’s commission rate of 10%. This gives us 900.

Next, we need to find the net profit after charging X’s commission. To do this, we multiply the net profit after charging Y’s commission by 0.95, which is 100% minus X’s commission rate of 5%. This gives us 855.

Finally, we can find X’s commission by multiplying the net profit after charging X’s commission by X’s commission rate of 5%. This gives us 42.50.

Here is a breakdown of each option:

• Option A: Rs. 42.50 is the correct answer.
• Option B: Rs. 45.00 is incorrect. This is the amount of commission X would receive if Y’s commission rate was 5% instead of 10%.
• Option C: Rs. 47.00 is incorrect. This is the amount of commission X would receive if the total profit was Rs. 900 instead of Rs. 1000.
• Option D: Rs. 49.00 is incorrect. This is the amount of commission X would receive if the total profit was Rs. 855 and Y’s commission rate was 5% instead of 10%.