Numerical answer
A starts a business with ₹30,000. B joins him after 4 months with ₹40,000, and C joins after 6 months (from the start) with ₹50,000. If the total profit at the end of the year is ₹49,000, what is C's share (in ₹)?
Show answer and solution
Answer: 15000
Profit is shared in the ratio of capital × time.
A: 30,000 × 12 = 3,60,000
B: 40,000 × 8 = 3,20,000
C: 50,000 × 6 = 3,00,000
Ratio A : B : C = 36 : 32 : 30 = 18 : 16 : 15 (sum 49).
C's share = 15/49 × 49,000 = ₹15,000.
Tip: Reduce the capital-time products to a small ratio before dividing — here the sum 49 matches the profit 49,000 neatly.
A: 30,000 × 12 = 3,60,000
B: 40,000 × 8 = 3,20,000
C: 50,000 × 6 = 3,00,000
Ratio A : B : C = 36 : 32 : 30 = 18 : 16 : 15 (sum 49).
C's share = 15/49 × 49,000 = ₹15,000.
Tip: Reduce the capital-time products to a small ratio before dividing — here the sum 49 matches the profit 49,000 neatly.
Saved on this device. Sign in or create a free account to keep it on every device.