X, Y, and Z invested ₹25,000, ₹35,000, and ₹40,000 respectively in a business.…
2025
X, Y, and Z invested ₹25,000, ₹35,000, and ₹40,000 respectively in a business. If the profit at the end of the year was ₹30,000, find Y's share.
Answer: A. ₹10,500 — ConceptWhen partners invest for the same duration, profit is divided in direct proportion to their capital. A partner's profit share equals the total profit…
- A.
₹10,500
- B.
₹10,000
- C.
₹11,000
- D.
₹11,500
Attempted by 139 students.
Show answer & explanation
Correct answer: A
Concept
When partners invest for the same duration, profit is divided in direct proportion to their capital. A partner's profit share equals the total profit multiplied by that partner's fraction of the total capital.
Application
Total capital = ₹25,000 + ₹35,000 + ₹40,000 = ₹1,00,000.
Y's capital fraction = ₹35,000 ÷ ₹1,00,000 = 35/100 = 7/20.
Y's profit share = ₹30,000 × 7/20 = ₹10,500.
Cross-check
₹10,500 is 35% of ₹30,000, matching Y's 35% share of the total capital. The reported ₹12,000 is 40% of ₹30,000 and corresponds to Z's ₹40,000 investment, not Y's.
Therefore, Y's share is ₹10,500.