Three partners A, B and C started a business. Twice of A's capital is equal to thrice of B's capital and B's capital is four times C's capital. If the profit at the end of the year is Rs. 16,500, then find the share of B in the profit.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Rs. 6,000
When the partners invest for the same period, the profit is shared in the ratio of their capitals. The two given links fix that ratio.
Assuming C’s capital to be 1:
B’s capital is four times C’s: B \(=4\)
Twice A’s capital equals thrice B’s: \(2A=3\times4=12\), so A \(=6\)
A : B : C \(=6:4:1\), and \(6+4+1=11\) parts
B’s share \(\displaystyle =\frac{4}{11}\times16500=6000\)