Given:
The only types of vehicles sold at a certain dealership last month were sedans, trucks, and vans.
The ratio of the number of sedans to the number of trucks to the number of vans sold at the dealership last month was 4:5:7 respectively
Let the number of sedans, number of trucks and number of vans be 4k , 5k & 7k respectively, where k is a positive integer.
Asked: What was the total number of vehicles sold at the dealership last month?
1) The number of vans sold at the dealership last month was between 10 and 20.
Number of vans = 7k = 14 ; k = 2; since 14 is the only multiple of 7 between 10 and 20.
Total number of vehicles sold at the dealership last month = 4k + 5k + 7k = 16k = 32
SUFFICIENT
2) The number of sedans sold at the dealership last month was less than 10.
Number of sedans = 4k = 4 or 8;
Since the number of sedans may be 4 or 8, the value of k can not be determined uniquely.
Total number of vehicles sold at the dealership last month = 4k + 5k + 7k = 16k = 16 or 32
NOT SUFFICIENT
IMO A
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Kinshook Chaturvedi
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