Single correct option
A, B and C start a business with investments of ₹20,000, ₹30,000 and ₹40,000 respectively. After 4 months A invests an additional ₹10,000, and after 6 months C withdraws ₹10,000. If the total profit at the end of the year is ₹55,000, what is C's share?
- A. ₹21,000
- B. ₹20,000
- C. ₹18,000
- D. ₹16,000
Show answer and solution
Answer: (A) ₹21,000
Profit is shared in the ratio of (capital × time), in ₹-months:
- A: 20,000 × 4 + 30,000 × 8 = 3,20,000
- B: 30,000 × 12 = 3,60,000
- C: 40,000 × 6 + 30,000 × 6 = 4,20,000
Ratio A : B : C = 32 : 36 : 42 = 16 : 18 : 21 (total 55).
C's share = 21/55 × 55,000 = ₹21,000.
Tip: Divide every product by a common factor (here 10,000) early to keep numbers small.
- A: 20,000 × 4 + 30,000 × 8 = 3,20,000
- B: 30,000 × 12 = 3,60,000
- C: 40,000 × 6 + 30,000 × 6 = 4,20,000
Ratio A : B : C = 32 : 36 : 42 = 16 : 18 : 21 (total 55).
C's share = 21/55 × 55,000 = ₹21,000.
Tip: Divide every product by a common factor (here 10,000) early to keep numbers small.
Saved on this device. Sign in or create a free account to keep it on every device.