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01 May 2025, 07:23
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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.
(1) Carlos received exactly 1/3 the amount received by Ben.
(2) Ben received exactly half of the $1,800,000 received by Alex.
01 May 2025, 07:23
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Official Solution:
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.
Since no actual amounts are given, we cannot determine Carlos’s share. Not sufficient.
(2) Ben received exactly half of the $1,800,000 received by Alex.
Alex received $1,800,000, and since that represents 3/5 of the total, the total revenue is 5/3 * 1,800,000 = $3,000,000. Ben received half of Alex’s amount, or $900,000. Therefore, Carlos’s share is 3,000,000 - 1,800,000 - 900,000 = $300,000. Sufficient.
Answer: B
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.
Since no actual amounts are given, we cannot determine Carlos’s share. Not sufficient.
(2) Ben received exactly half of the $1,800,000 received by Alex.
Alex received $1,800,000, and since that represents 3/5 of the total, the total revenue is 5/3 * 1,800,000 = $3,000,000. Ben received half of Alex’s amount, or $900,000. Therefore, Carlos’s share is 3,000,000 - 1,800,000 - 900,000 = $300,000. Sufficient.
Answer: B
