Correct Answer - Option 4 : 7
Given
A Started business with 45000 and was joined afterward by B with 54000. the profits at the end of the year were divided in the ratio 2: 1
Concept used
Capital × Time = Profit
Calculation
Ratio of capital of A and B
A : B = 45000 : 54000
A : B = 5 : 6
A joins for 12 months and B joins after x months
As per the question,
⇒ \(\frac{{5\ \times\ 12}}{{6\left( {12 - x} \right)}} = \frac{2}{1}\)
⇒ 5 = 12 - x
⇒ x = 7