Aman, Babli and Kali started a business in partnership. If 4 × (Aman's Capital) = 6 × (Babli's Capital) = 10 × (Kali's Capital), then out of a profit of ₹4650, Kali will receive:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → ₹900
When partners invest for the same period, the profit is shared in the ratio of their capitals. Setting each product equal to a common value k gives each capital as a fraction of k.
Aman \(=\frac{k}{4}\), Babli \(=\frac{k}{6}\), Kali \(=\frac{k}{10}\)
Ratio \(\frac{1}{4}:\frac{1}{6}:\frac{1}{10}\); multiplying by 60 (the LCM of 4, 6 and 10): \(15:10:6\)
Kali’s share \(\displaystyle =\frac{6}{15+10+6}\times4650=\frac{6}{31}\times4650=900\)