Single correct option
A starts a business with Rs 30,000. B joins 4 months later with Rs 45,000, and C joins 9 months after the start with Rs 90,000. If the profit at the end of the year is Rs 1,21,000, what is B's share?
- A. Rs 33,000
- B. Rs 44,000
- C. Rs 48,000
- D. Rs 40,000
Show answer and solution
Answer: (B) Rs 44,000
Profit is shared in the ratio of capital × time (in months invested during the year).
A: 30,000 × 12 = 3,60,000
B: 45,000 × 8 = 3,60,000
C: 90,000 × 3 = 2,70,000
Dividing by 90,000: the ratio is 4 : 4 : 3, total 11 parts.
Each part = 1,21,000/11 = 11,000, so B's share = 4 × 11,000 = Rs 44,000.
The trap is sharing by capital alone or by time alone instead of their product.
A: 30,000 × 12 = 3,60,000
B: 45,000 × 8 = 3,60,000
C: 90,000 × 3 = 2,70,000
Dividing by 90,000: the ratio is 4 : 4 : 3, total 11 parts.
Each part = 1,21,000/11 = 11,000, so B's share = 4 × 11,000 = Rs 44,000.
The trap is sharing by capital alone or by time alone instead of their product.
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