Bunuel
Three business partners, Alex, Ben, and Carlos, shared all the revenue from a joint business venture. If Alex received exactly 3/5 of the total revenue, how much money did Carlos receive?
(1) Carlos received exactly 1/3 the amount received by Ben.
(2) Ben received exactly half of the $1,800,000 received by Alex.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!Three business partners be denoted as A, B, and C .
Alex A = 3/5*(T) , where T denotes Total Revenue.
C = ?
Statement 1: (1) Carlos received exactly 1/3 the amount received by Ben.
If A = 3/5*(T)
then, B+ C = 2/5*(T)
C = 1/3*(B)
B + 1/3*(B) = 2/5*(T)
4/3*(B) = 2/5*(T)
B = 3/10*(T)
C = 1/3*(B) = 1/3*(3/10*(T) ) = 1/10*(T)
Carlos received 1/10 of total revenue.
How much Carlos received ? We cannot arrive at an exact figure. Hence,
Insufficient .
Statement 2: (2) Ben received exactly half of the $1,800,000 received by Alex.
3/5*T = $1,800,000
T = $3,000,000
B = 1/2*($1,800,000) = $900,000.
A+ B+ C = $3,000,000
$1,800,000 + $900,000 + C = $3,000,000
C = $ 300,000.
Hence,
Sufficient Option B