P started a software business by investing ₹63,000. After two months, R joined…
2026
P started a software business by investing ₹63,000. After two months, R joined him with a capital of ₹79,000. After 2 years, they earned a profit of ₹58,500. What was P’s share (in ₹, rounded to the nearest integer) in the profit?
Answer: A. 27216 — ConceptIn a partnership, profit is divided in the ratio of each partner’s capital-time product: invested capital multiplied by the duration for which it…
- A.
27216
- B.
27115
- C.
27188
- D.
27165
Attempted by 15 students.
Show answer & explanation
Correct answer: A
Concept
In a partnership, profit is divided in the ratio of each partner’s capital-time product: invested capital multiplied by the duration for which it remains invested.
When a partner joins later, that partner’s duration is only the remaining part of the total business period.
Application
Convert 2 years to 24 months. P’s capital remains invested for 24 months, while R joins after 2 months and therefore invests for 22 months.
P’s capital-time product = 63,000 × 24 = 1,512,000.
R’s capital-time product = 79,000 × 22 = 1,738,000.
Thus, P : R = 1,512,000 : 1,738,000, and the total capital-time product is 3,250,000.
P’s profit share = 58,500 × (1,512,000 ÷ 3,250,000) = 27,216.
Cross-check
R’s share is ₹58,500 − ₹27,216 = ₹31,284. Also, ₹27,216 : ₹31,284 = 756 : 869, the same reduced ratio as 1,512,000 : 1,738,000.
Result
Therefore, P’s share in the profit is ₹27,216.