Question

A firm earned ₹90,000 profit. Mohit is guaranteed ₹40,000 for his \(\frac{1}{4}\) share. How much deficiency will others bear in 3:1 ratio?

• A. ₹5,000 and ₹10,000
• B. ₹13,125 and ₹4,375
• C. ₹5,000 and ₹15,000
• D. ₹7,000 and ₹10,00

Hint:

When guaranteed amount is higher than actual share, deficiency is borne by other partners in their agreed ratio by subtracting the shortfall from their shares.

Answer 1

The Correct Option is B

To solve the problem, we need to find the deficiency that others will bear after Mohit's guaranteed profit, and then divide this deficiency in the ratio 3:1.

1. Understanding the profit distribution:
Total profit earned by the firm = ₹90,000
Mohit's guaranteed share = ₹40,000 (for his \(\frac{1}{4}\) share)

2. Calculating Mohit's actual share:
Mohit's actual share based on \(\frac{1}{4}\) of total profit:
= \(\frac{1}{4} \times 90,000 = ₹22,500\)

3. Calculating the deficiency:
Since Mohit is guaranteed ₹40,000 but his actual share is ₹22,500, deficiency = Guaranteed amount - Actual share
= ₹40,000 - ₹22,500 = ₹17,500

4. Deficiency to be borne by others:
Others will bear the deficiency of ₹17,500 in the ratio 3:1.

5. Dividing the deficiency in 3:1 ratio:
Sum of ratio parts = 3 + 1 = 4
First part = \(\frac{3}{4} \times 17,500 = ₹13,125\)
Second part = \(\frac{1}{4} \times 17,500 = ₹4,375\)

Final Answer:
Others will bear ₹13,125 and ₹4,375 respectively as deficiency in 3:1 ratio.