Single correct option
A, B and C start a business with capitals in the ratio 3 : 4 : 5. After 4 months, A doubles his capital. After 8 months (from the start), C withdraws half of his capital. At the end of the year, the profit is ₹31,600. What is B's share?
- A. ₹8,800
- B. ₹9,600
- C. ₹10,000
- D. ₹9,200
Show answer and solution
Answer: (B) ₹9,600
Profit is shared in the ratio of capital × time (take capitals 3, 4, 5 units).
A: 3 × 4 + 6 × 8 = 12 + 48 = 60.
B: 4 × 12 = 48.
C: 5 × 8 + 2.5 × 4 = 40 + 10 = 50.
Total = 158. B's share = 31,600 × 48/158 = 200 × 48 = ₹9,600.
A: 3 × 4 + 6 × 8 = 12 + 48 = 60.
B: 4 × 12 = 48.
C: 5 × 8 + 2.5 × 4 = 40 + 10 = 50.
Total = 158. B's share = 31,600 × 48/158 = 200 × 48 = ₹9,600.
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