Three partners Rahul, Narayan and Pooja together started a business. Twice the…
2023
Three partners Rahul, Narayan and Pooja together started a business. Twice the investment of Rahul is equal to thrice the capital of Narayan and the capital of Narayan is four times the capital of Pooja. Find the share of Narayan out of a profit Rs. 22275.
- A.
Rs 7620
- B.
Rs 7700
- C.
Rs 8100
- D.
None of these
Attempted by 3 students.
Show answer & explanation
Correct answer: C
Given relationships: Twice Rahul's investment = thrice Narayan's capital; Narayan's capital = four times Pooja's capital.
Let Pooja's capital = x.
Then Narayan's capital = 4x.
Twice Rahul's investment = thrice Narayan's ⇒ 2R = 3N ⇒ R = 3N/2. With N = 4x, R = 3(4x)/2 = 6x.
So the investment ratio Rahul : Narayan : Pooja = 6x : 4x : x = 6 : 4 : 1.
Total parts = 6 + 4 + 1 = 11. Narayan's share = 4/11 of the total profit.
Compute Narayan's share:
4/11 × 22275 = 4 × (22275 ÷ 11).
22275 ÷ 11 = 2025, so 4 × 2025 = 8100.
Answer: Rs 8100 (Narayan's share).