P started a software business by investing ₹21000. After nine months, R joined…
2026
P started a software business by investing ₹21000. After nine months, R joined him with a capital of ₹72000. After 3 years, they earned a profit of ₹50000. What was P’s share (in ₹, rounded off to the nearest integer) in the profit?
- A.
13931
- B.
13902
- C.
14000
- D.
13882
Attempted by 3 students.
Show answer & explanation
Correct answer: C
Step 1: Determine the investment duration.
P invested ₹21,000 for 3 years (36 months).
R invested ₹72,000 for (36 - 9) = 27 months.
Step 2: Calculate the ratio of their capital-time products.
P's share = 21,000 × 36 = 756,000
R's share = 72,000 × 27 = 1,944,000
Total parts = 756,000 + 1,944,000 = 2,700,000
Step 3: Compute P's share of the ₹50,000 profit.
P's share = (756,000 / 2,700,000) × 50,000
P's share = 0.28 × 50,000 = ₹14,000.
Final Answer: Option 3