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17 Oct 2019, 01:57
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D
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Difficulty:
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66% (01:37) correct
34%
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A certain car dealership has two locations. Last month, an average (arithmetic mean) of 11 cars per salesperson was sold at location A and an average of 16 cars per salesperson was sold at location B. What was the average number of cars sold per salesperson at this dealership last month?
(1) Last month, the number of salespeople at location A was 3 times the number of salespeople at location B.
(2) Last month, the total number of cars sold at location A was 132, and the total number of cars sold at location B was 64.
(1) Last month, the number of salespeople at location A was 3 times the number of salespeople at location B.
(2) Last month, the total number of cars sold at location A was 132, and the total number of cars sold at location B was 64.
17 Oct 2019, 05:37
Kudos
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Bunuel
A certain car dealership has two locations. Last month, an average (arithmetic mean) of 11 cars per salesperson was sold at location A and an average of 16 cars per salesperson was sold at location B. What was the average number of cars sold per salesperson at this dealership last month?
(1) Last month, the number of salespeople at location A was 3 times the number of salespeople at location B.
(2) Last month, the total number of cars sold at location A was 132, and the total number of cars sold at location B was 64.
(1) Last month, the number of salespeople at location A was 3 times the number of salespeople at location B.
(2) Last month, the total number of cars sold at location A was 132, and the total number of cars sold at location B was 64.
(1) Last month, the number of salespeople at location A was 3 times the number of salespeople at location B.
Let the number of salespersons in location B = N
--> Number of salespersons in location A = 3N
Average sales = \(\frac{(11*3N + 16*N)}{(3N + N)} = \frac{49N}{4N} = 12.25\) cars --> Sufficient
(2) Last month, the total number of cars sold at location A was 132, and the total number of cars sold at location B was 64
--> Number of salespersons in location A = 132/11 = 12
& Number of salespersons in location A = 64/16 = 4
Average sales = \(\frac{(132 + 64)}{(12 + 4)} = \frac{196}{16} = 12.25\) cars --> Sufficient
IMO Option D
08 Feb 2022, 05:25
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