three brothers in a business deal share the profit at the end of a contact. 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?
-
A.
N60 000.00 -
B.
N54 000.00 -
C.
N48 000.00 -
D.
N42 000.00
Correct Answer: Option B
Explanation
use “T” to represent the total profit. The first receives (frac{1}{3}) T
remaining, 1 – (frac{1}{3})
= (frac{2}{3})T
The seconds receives the remaining, which is (frac{2}{3}) also
(frac{2}{3}) x (frac{2}{3}) x (frac{4}{9})
The third receives the left over, which is (frac{2}{3})T – (frac{4}{9})T = ((frac{6 – 4}{9}))T
= (frac{2}{9})T
The third receives (frac{2}{9})T which is equivalent to N12000
If (frac{2}{9})T = N12, 000
T = (frac{12 000}{frac{2}{9}})
= N54, 000