A, B and \(C\) jointly thought of engaging themselves in a business venture. It was agreed that \(\mathrm{A}\) would invest N6500 for 6 months, B N8400 for 5 months and C N10.000 for 3 months. A wants to be the working member for which, he was received \(5 \%\) of the profits. The profit earmed was \(N 7400\) Calculate the share of \(\mathrm{B}\) in the profit
A. N 1900 B. N 2,660 C. N 2,800 D. N 2,480
Correct Answer:
Explanation
Ratio of investment \(=\mathrm{A}: \mathrm{B}: \mathrm{C}=600: 8400: 1000\) \(65: 84=100\) Profit reserved as share \(=0.95 \times 7400=7030\) Note that A received \(5 \%\) as working members, leaving \((100-50) \%\) of the profit as share. \(B^{\prime} s\) share \(=\frac{84}{65+100} \times \frac{700}{1}=2400\)