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02 May 2025, 05:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
80% (02:06) correct
20%
(01:58)
wrong
based on 35
sessions
History
Date
Time
Result
Not Attempted Yet
In a certain regional sales company, Marcus earns a monthly salary of $1500, plus 10% of the amount by which his total sales exceed $3000. How much did Marcus earn in April?
(1) The amount Marcus earned in April was equal to 25% of his total sales that month.
(2) If Marcus had made $4000 more in sales in April, his earnings would have been equal to 20% of that higher sales amount.
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!
(1) The amount Marcus earned in April was equal to 25% of his total sales that month.
(2) If Marcus had made $4000 more in sales in April, his earnings would have been equal to 20% of that higher sales amount.
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!
11 May 2025, 08:30
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Official Solution:
In a certain regional sales company, Marcus earns a monthly salary of $1500, plus 10% of the amount by which his total sales exceed $3000. How much did Marcus earn in April?
Marcus’s earnings in April can be expressed as \(1500 + 0.1 * (S - 3000)\), where \(S\) is his total sales.
(1) The amount Marcus earned in April was equal to 25% of his total sales that month.
This gives: \(1500 + 0.1 * (S - 3000) = 0.25 * S\). We can solve for \(S\) and calculate earnings. Sufficient.
(2) If Marcus had made $4000 more in sales in April, his earnings would have been equal to 20% of that higher sales amount.
This implies: \(1500 + 0.1 * (S + 4000 - 3000) = 0.2 * (S + 4000)\). We can solve for \(S\) and calculate earnings. Sufficient.
Answer: D
In a certain regional sales company, Marcus earns a monthly salary of $1500, plus 10% of the amount by which his total sales exceed $3000. How much did Marcus earn in April?
Marcus’s earnings in April can be expressed as \(1500 + 0.1 * (S - 3000)\), where \(S\) is his total sales.
(1) The amount Marcus earned in April was equal to 25% of his total sales that month.
This gives: \(1500 + 0.1 * (S - 3000) = 0.25 * S\). We can solve for \(S\) and calculate earnings. Sufficient.
(2) If Marcus had made $4000 more in sales in April, his earnings would have been equal to 20% of that higher sales amount.
This implies: \(1500 + 0.1 * (S + 4000 - 3000) = 0.2 * (S + 4000)\). We can solve for \(S\) and calculate earnings. Sufficient.
Answer: D
General Discussion
03 May 2025, 12:51
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Bunuel
The minimum amount Marcus earns = $1500
Let's assume the sales amount = $s
Statement 1
(1) The amount Marcus earned in April was equal to 25% of his total sales that month.
If s < 3000, the above statement cannot be true. Because $1500 > 0.25 * $3000. Hence the sales in the month of April was greater than $3000
1500 + 0.10(s - 3000) = 0.25 * s
1500 + 0.1s - 300 = 0.25s
1200 = 0.15s
s = 1200/0.15
s = $8000
As the sales amount is now known, we can calculate the earnings.
The statement alone is sufficient to answer the question.
Statement 2
(2) If Marcus had made $4000 more in sales in April, his earnings would have been equal to 20% of that higher sales amount.
Assume that Marcu's orginal sales amount was $s. Marcus's higher sales amount = $(s+4000). As Marcu's new sales amount exceeds $3000, his earnings will be
1500 + 0.10(s + 4000 - 3000)
From statement 2, we know that this amount = 0.20 (s + 4000)
1500 + 0.10(s + 4000 - 3000) = 0.20 (s+4000)
As the statement has only one unknown, we can find the value of $s, and we can calculate the earnings.
The statement alone is sufficient to answer the question.
Option D
