Single correct option
A starts a business with ₹60,000. After 4 months B joins with ₹80,000, and 2 months after that C joins with ₹1,00,000. If the profit at the end of the year is ₹98,000, what is C's share?
- A. ₹28,000
- B. ₹30,000
- C. ₹32,000
- D. ₹36,000
Show answer and solution
Answer: (B) ₹30,000
Profit is shared in the ratio of capital × time.
- A: 60,000 × 12 = 7,20,000
- B: 80,000 × 8 = 6,40,000 (joins after 4 months)
- C: 1,00,000 × 6 = 6,00,000 (joins after 6 months)
Ratio = 72 : 64 : 60 = 18 : 16 : 15 (sum 49).
C's share = 98,000 × 15/49 = ₹30,000.
Trap: C joins 2 months *after B*, i.e. 6 months after the start – using 8 months for C gives a wrong ratio.
- A: 60,000 × 12 = 7,20,000
- B: 80,000 × 8 = 6,40,000 (joins after 4 months)
- C: 1,00,000 × 6 = 6,00,000 (joins after 6 months)
Ratio = 72 : 64 : 60 = 18 : 16 : 15 (sum 49).
C's share = 98,000 × 15/49 = ₹30,000.
Trap: C joins 2 months *after B*, i.e. 6 months after the start – using 8 months for C gives a wrong ratio.
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