A, B and C started a business on partnership by investing ₹42,000, ₹50,000 and ₹65,000 respectively. After 8 months, A invested ₹24,000 more while C withdrew ₹15,000. If the profit earned at the end of the year is ₹1,04,000, then find the share of C in the profit.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → ₹39,000
When partners invest for different periods, the profit is shared in the ratio of their capital × time. Where the capital changes during the year, each part is multiplied by the months it stayed in the business.
Capital × months for each partner (8 months, then 4 months):
A: \(42000\times8+66000\times4=336000+264000=600000\)
B: \(50000\times12=600000\)
C: \(65000\times8+50000\times4=520000+200000=720000\)
Sharing the profit:
Ratio \(600000:600000:720000=5:5:6\), total 16 parts
C’s share \(\displaystyle =\frac{6}{16}\times104000=39000\), that is, ₹39,000