P and Q started a business by investing their capitals in the ratio of 1 : 2…
2023
P and Q started a business by investing their capitals in the ratio of 1 : 2 and the period of P’s investment is three times that of Q. If P received a profit of ₹22,800, then what is the total profit?
- A.
₹42,000
- B.
₹36,900
- C.
₹36,000
- D.
₹38,000
Attempted by 7 students.
Show answer & explanation
Correct answer: D
Investment Ratio (Capital): P : Q = 1 : 2.
Time Ratio: P : Q = 3 : 1 (as P's time is three times that of Q).
Profit Ratio (Capital × Time):
P's share = 1 × 3 = 3 units.
Q's share = 2 × 1 = 2 units.
Profit ratio (P:Q) = 3 : 2.
Calculation:
P's profit = 3 units = ₹22,800.
1 unit = ₹22,800 / 3 = ₹7,600.
Total profit (P + Q) = 3 + 2 = 5 units.
Total profit = 5 × ₹7,600 = ₹38,000.
Final Answer: Option 4 (₹38,000)