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