Partnership Business
Multiple Choice Questions (MCQ)
- In a simple partnership, profit is divided based on:
A. Time only
B. Capital only
C. Capital × Time
D. Capital ratio, if time is same
Answer: D. Capital ratio, if time is same - A invests ₹6,000 for 10 months, and B invests ₹8,000 for 6 months. What is the ratio of their profits?
A. 4:5
B. 5:4
C. 3:4
D. 2:3
Answer: B. 5:4
(Effective investments: A = 60,000, B = 48,000 ⇒ Ratio = 5:4) - If total profit is ₹40,000 and the effective investments of A and B are in the ratio 3:5, how much profit does A get?
A. ₹20,000
B. ₹15,000
C. ₹24,000
D. ₹12,000
Answer: B. ₹15,000
(A’s share = 3/8 × 40,000 = ₹15,000) - What is the effective investment of a partner who invests ₹10,000 for 12 months?
A. ₹1,20,000
B. ₹12,000
C. ₹10,000
D. ₹1,00,000
Answer: A. ₹1,20,000
(10,000 × 12 = 1,20,000) - Which formula is used to calculate an individual partner’s share of profit?
A. Profit × Time ÷ Capital
B. Total Profit ÷ Number of Partners
C. (Capital × Time) of that partner ÷ Total (Capital × Time) × Total Profit
D. Capital ÷ Time
Answer: C. (Capital × Time) of that partner ÷ Total (Capital × Time) × Total Profit
Short Answer Questions (SAQ)
- Define a partnership business.
Answer: A partnership business is a business where two or more individuals invest capital and share profits or losses based on their capital and duration of investment. - What is the formula for effective investment?
Answer: Effective Investment = Capital × Time - A and B invest for the same duration. A invests ₹5,000 and B invests ₹10,000. What is their profit sharing ratio?
Answer: Capital ratio = 5,000 : 10,000 = 1:2
Long Answer Questions (LAQ)
1.A invests ₹8,000 for 12 months and B invests ₹10,000 for 9 months in a business.
a) Find the effective investment of each partner
b) Find the ratio of profit sharing
c) If total profit is ₹27,000, find each partner’s share.
Answer: a) A = 8,000 × 12 = 96,000
B = 10,000 × 9 = 90,000
b) Ratio = 96,000 : 90,000 = 16:15
c) Total parts = 16 + 15 = 31
A’s share = (16/31) × 27,000 = ₹13,935
B’s share = (15/31) × 27,000 = ₹13,065
2.A and B started a business. After 4 months, C joined the partnership with an investment of ₹9,000. A and B invested ₹12,000 and ₹15,000 respectively from the beginning. If the total profit at the end of the year is ₹40,000, find each partner’s share.
Answer:
A’s investment = ₹12,000 for 12 months = 1,44,000
B’s investment = ₹15,000 for 12 months = 1,80,000
C’s investment = ₹9,000 for 8 months = 72,000
Total = 1,44,000 + 1,80,000 + 72,000 = 3,96,000
Ratio = A : B : C = 1,44,000 : 1,80,000 : 72,000 = 4:5:2
Total parts = 4 + 5 + 2 = 11
A’s share = (4/11) × 40,000 = ₹14,545.45 ≈ ₹14,545
B’s share = (5/11) × 40,000 = ₹18,181.82 ≈ ₹18,182
C’s share = (2/11) × 40,000 = ₹7,272.73 ≈ ₹7,273
