Three brothers in a business deal share the pro... - JAMB Mathematics 2021 Question
Three brothers in a business deal share the profit at the end of a contract. The first received \(\frac{1}{3}\) of the profit and the second \(\frac{2}{3}\) of the remainder. If the third received the remaining N12000.00 how much profit did they share?
N60 000.00
N54 000.00
N48 000.00
N42 000.00
Let T = total profit.
The first brother receives \(\frac{1}{3}\) T
balance, 1 - \(\frac{1}{3}\)
= \(\frac{2}{3}\)T
The seconds brother receives the remnant: \(\frac{2}{3}\)
\(\frac{2}{3}\) x \(\frac{2}{3}\) x \(\frac{4}{9}\)
The third brother receives the left over: \(\frac{2}{3}\)T - \(\frac{4}{9}\)T = (\(\frac{6 - 4}{9}\))T
= \(\frac{2}{9}\)T
The third brother receives \(\frac{2}{9}\)T => N12000
If \(\frac{2}{9}\)T = N12, 000
T = \(\frac{12 000}{\frac{2}{9}}\) = N54, 000
Add your answer
No responses