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Updated on: 07 Mar 2026, 09:15
Originally posted by MartyMurray on 28 Jan 2025, 15:45.
Last edited by MartyMurray on 07 Mar 2026, 09:15, edited 2 times in total.
Last edited by MartyMurray on 07 Mar 2026, 09:15, edited 2 times in total.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
44% (02:57) correct
56%
(02:36)
wrong
based on 122
sessions
History
Date
Time
Result
Not Attempted Yet
A vendor bought a 40-pound case of bananas for $30. If the vendor offered the bananas for $1 per pound on Monday, $0.90 per pound on Tuesday, and $0.80 per pound on Wednesday and did not offer them for sale on any other day, was the number of pounds sold by the vendor on Monday greater than the number sold on Wednesday?
(1) The vendor sold all of the bananas by the end of the day on Wednesday.
(2) The vendor’s total profit on the case of bananas was $6.
Source: Marty Murray Coaching
(1) The vendor sold all of the bananas by the end of the day on Wednesday.
(2) The vendor’s total profit on the case of bananas was $6.
Source: Marty Murray Coaching
Updated on: 03 Feb 2025, 14:46
Originally posted by MartyMurray on 28 Jan 2025, 16:23.
Last edited by MartyMurray on 03 Feb 2025, 14:46, edited 2 times in total.
Last edited by MartyMurray on 03 Feb 2025, 14:46, edited 2 times in total.
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A vendor bought a 40-pound case of bananas for $30. If the vendor offered the bananas for $1 per pound on Monday, $0.90 per pound on Tuesday, and $0.80 per pound on Wednesday and did not offer them for sale on any other day, was the number of pounds sold by the vendor on Monday greater than the number sold on Wednesday?
The passage tells us the total weight in pounds of the bananas, the total cost of the bananas, and the prices at which the bananas were sold on three different days.
To answer the question, we don't need to calculate the exact numbers of pounds sold on the three days. We just need some way of determining whether more were sold on Monday than on Wednesday.
For example, since we know the price at which the vendor sold bananas on Monday and the price at which the vendor sold bananas on Wednesday, we may be able to determine the relative amounts sold on Monday and Wednesday by knowing whether the average price of all the bananas sold was closer to Monday's price or Wednesday's price.
(1) The vendor sold all of the bananas by the end of the day on Wednesday.
Since the vendor could have sold any proportions of the bananas on Monday, Tuesday, and Wednesday to sell them all by the end of the day on Wednesday, this statement isn't sufficient for determining whether more were sold on Monday or Wednesday.
Insufficient
(2) The vendor’s total profit on the case of bananas was $6.
This means that the vendor sold the bananas for a total of $30 + $6 = $36.
The vendor could have achieved this total revenue in multiple ways.
For instance, the vendor could have sold 36 pounds at $1 per pound on Monday, sold no more on Tuesday or Wednesday, and eaten the last 4 pounds of bananas himself for total revenue of $36. In that case, the number of pounds sold on Monday would be greater than the number sold on Wednesday.
Alternatively, the vendor could have sold all 40 pounds for $0.90 per pound on Tuesday. In that case, the number of pounds sold on Monday and the number sold on Wednesday would both be 0. So, the number sold on Monday would not be greater than the number sold on Wednesday.
So, this information alone is does not indicate whether more were sold on Monday.
Insufficient.
(1) and (2) Combined
The statements combined indicate that all 40 pounds of bananas were sold by the end of the day Wednesday and that the total revenue from the sales was $30 + $6 = $36.
So, the average price at which the bananas were sold was the following:
$36/40 pounds = $0.90/pound
Since the prices for Monday, Tuesday, and Wednesday were $1, $0.90, and $0.80 respectively, the only way the average price could have been $0.90/pound is for the number of pounds sold on Monday and the number of pounds sold on Wednesday to be equal.
After all, the average price is a weighted average of the prices at which the bananas sold, and the price for Tuesday was $0.90.
So, if more had been sold on Monday at $1 than on Wednesday at $0.80, the average would have been greater than $0.90.
If more had been sold on Wednesday at $0.80 than on Monday at $1, the average would have been less than $0.90.
For the average to be $0.90, the amounts sold on Monday and Wednesday had to be equal to make their average price $0.90.
So, combined, the statements confirm that the number of pounds sold on Monday was not greater than the number of pounds sold on Wednesday.
Sufficient.
Correct answer: C
The passage tells us the total weight in pounds of the bananas, the total cost of the bananas, and the prices at which the bananas were sold on three different days.
To answer the question, we don't need to calculate the exact numbers of pounds sold on the three days. We just need some way of determining whether more were sold on Monday than on Wednesday.
For example, since we know the price at which the vendor sold bananas on Monday and the price at which the vendor sold bananas on Wednesday, we may be able to determine the relative amounts sold on Monday and Wednesday by knowing whether the average price of all the bananas sold was closer to Monday's price or Wednesday's price.
(1) The vendor sold all of the bananas by the end of the day on Wednesday.
Since the vendor could have sold any proportions of the bananas on Monday, Tuesday, and Wednesday to sell them all by the end of the day on Wednesday, this statement isn't sufficient for determining whether more were sold on Monday or Wednesday.
Insufficient
(2) The vendor’s total profit on the case of bananas was $6.
This means that the vendor sold the bananas for a total of $30 + $6 = $36.
The vendor could have achieved this total revenue in multiple ways.
For instance, the vendor could have sold 36 pounds at $1 per pound on Monday, sold no more on Tuesday or Wednesday, and eaten the last 4 pounds of bananas himself for total revenue of $36. In that case, the number of pounds sold on Monday would be greater than the number sold on Wednesday.
Alternatively, the vendor could have sold all 40 pounds for $0.90 per pound on Tuesday. In that case, the number of pounds sold on Monday and the number sold on Wednesday would both be 0. So, the number sold on Monday would not be greater than the number sold on Wednesday.
So, this information alone is does not indicate whether more were sold on Monday.
Insufficient.
(1) and (2) Combined
The statements combined indicate that all 40 pounds of bananas were sold by the end of the day Wednesday and that the total revenue from the sales was $30 + $6 = $36.
So, the average price at which the bananas were sold was the following:
$36/40 pounds = $0.90/pound
Since the prices for Monday, Tuesday, and Wednesday were $1, $0.90, and $0.80 respectively, the only way the average price could have been $0.90/pound is for the number of pounds sold on Monday and the number of pounds sold on Wednesday to be equal.
After all, the average price is a weighted average of the prices at which the bananas sold, and the price for Tuesday was $0.90.
So, if more had been sold on Monday at $1 than on Wednesday at $0.80, the average would have been greater than $0.90.
If more had been sold on Wednesday at $0.80 than on Monday at $1, the average would have been less than $0.90.
For the average to be $0.90, the amounts sold on Monday and Wednesday had to be equal to make their average price $0.90.
So, combined, the statements confirm that the number of pounds sold on Monday was not greater than the number of pounds sold on Wednesday.
Sufficient.
Correct answer: C
General Discussion
PocusFocus
29 Jan 2025, 09:25
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I totally missed this question, my aproach was trying to solve equations, and since you get two equations and three variables I wrongly marked E, thanks MartyMurray for this elegant question.
