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09 Nov 2021, 05:30
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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:
54% (03:28) correct
46%
(03:34)
wrong
based on 115
sessions
History
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Not Attempted Yet
A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 5 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price?
(A) 51
(B) 61
(C) 66
(D) 71
(E) 76
(A) 51
(B) 61
(C) 66
(D) 71
(E) 76
09 Nov 2021, 05:47
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Original motorcycles sold = n
Original price = p
np = 594000 - 26000 = 568000
(n -5)(p + 1000) - np = 26000
=> 1000n - 5p - 5000 = 26000
=> 1000n - 5p - 31000 = 0
=> 1000n - 5(568000/n) - 31000 = 0
=> n^2 - 2840 - 31n = 0
=> (n - 71)(n + 40) = 0 ---- (Use the answer choices to get the factorization possibilities. Remember you have to add 5 to the answer choices as the answers represent the new count sold. You can see that the answer choices are already in increments of 5)
Now n = 71, hence motorcycles sold at the new price would be 71 - 5 = 66
IMO Option C
Original price = p
np = 594000 - 26000 = 568000
(n -5)(p + 1000) - np = 26000
=> 1000n - 5p - 5000 = 26000
=> 1000n - 5p - 31000 = 0
=> 1000n - 5(568000/n) - 31000 = 0
=> n^2 - 2840 - 31n = 0
=> (n - 71)(n + 40) = 0 ---- (Use the answer choices to get the factorization possibilities. Remember you have to add 5 to the answer choices as the answers represent the new count sold. You can see that the answer choices are already in increments of 5)
Now n = 71, hence motorcycles sold at the new price would be 71 - 5 = 66
IMO Option C
20 Mar 2024, 11:14
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In the question the revenue was not mentioned, if its for the month or year. And generally its taken as yearly revenue.
So According to that the total reduction in sales for bike in an year will be 5*12 = 60
So According to that the total reduction in sales for bike in an year will be 5*12 = 60
