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14 Jan 2021, 11:30
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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:
45%
(medium)
Question Stats:
69% (02:22) correct
31%
(02:32)
wrong
based on 91
sessions
History
Date
Time
Result
Not Attempted Yet
During a week at a certain software company, the orders per day climbed at a constant rate from 40 on Monday to 60 on Friday. If the average order size decreased at a constant daily rate from a high of $250 on Monday to a low of $210 on Friday, on what day did the company first record at least $12,000 in orders?
(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday
(E) Friday
(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday
(E) Friday
14 Jan 2021, 12:16
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Solution
Given
In this question, we are given that
- • During a week at a certain software company, the orders per day climbed at a constant rate from 40 on Monday to 60 on Friday
• The average order size decreased at a constant daily rate from a high of $250 on Monday to a low of $210 on Friday
To find
We need to determine
- • The day on which the company first recorded at least $12,000 in orders
Approach and Working out
Orders on Monday was 40 and orders on Friday was 60
As the orders per day climbed at a constant rate from Monday to Friday, we can say
- • Orders on Monday = 40
• Orders on Tuesday = 45
• Orders on Wednesday = 50
• Orders on Thursday = 55
• Orders on Friday = 60
Order size on Monday was $250 and order size on Friday was $210
As the order size per day decreased at a constant rate from Monday to Friday, we can say
- • Order size on Monday = $250
• Order size on Tuesday = $240
• Order size on Wednesday = $230
• Order size on Thursday = $220
• Order size on Friday = $210
Hence, day-wise order value:
- • Monday = 40 x $250 = $10000
• Tuesday = 45 x $240 = $10800
• Wednesday = 50 x $230 = $11500
• Thursday = 55 x $220 = $12100
• Friday = 60 x $210 = $12600
We can see that on Thursday the company first recorded an order value, which is at least $12000
Thus, option D is the correct answer.
Correct Answer: Option D
