P and Q start a cafe with a capital Rs. 20,000 and Rs. 40,000 respectively.…
2025
P and Q start a cafe with a capital Rs. 20,000 and Rs. 40,000 respectively. After a year, out of the profit of Rs. 15000, P gets his share of profit plus some money as his salary. In total if P gets Rs. 7000, what is the salary amount he received?
- A.
Rs. 2000
- B.
Rs. 5000
- C.
Rs. 2500
- D.
Rs. 7500
Attempted by 366 students.
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Correct answer: A
Key idea: When partners invest for the same time period, profit is divided in the ratio of their capitals.
Step 1: Find the profit-sharing ratio using capitals 20,000 and 40,000:
Ratio = 20,000 : 40,000 = 1 : 2
Step 2: Compute P's share of the total profit (15,000):
P's profit = 1/(1+2) × 15,000 = 1/3 × 15,000 = 5,000
Step 3: Determine P's salary by subtracting his profit share from the total he received:
Salary = Total received − P's profit = 7,000 − 5,000 = 2,000
Answer: P's salary amount is Rs. 2,000.