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Bunuel

The above graph lists the monthly sales (in $100,000 increments) at a car dealership. For January and February, the dealership had two sales agents. The dealership added a sales agent in March and one more in May. What was the percent increase in sales per agent in June compared to January?

A. 50%
B. 100%
C. 125%
D. 200%
E. 400%

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Attachment:
diagram.gif

Total sales in Jan = 2 units
Total number of agents in Jan =2
Sales per Agent in Jan = 2/2 = 1 unit


Total sales in June = 8 units
Total number of agents in June = 4
Sales per Agent in June = 8/4 = 2 unit


% Increase = [(Final Value - Initial value)/Initial Value]*100

i.e. % increase = [(2 - 1) / 1]*100 = 100%

Answer: Option B
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Bunuel

The above graph lists the monthly sales (in $100,000 increments) at a car dealership. For January and February, the dealership had two sales agents. The dealership added a sales agent in March and one more in May. What was the percent increase in sales per agent in June compared to January?

A. 50%
B. 100%
C. 125%
D. 200%
E. 400%

Kudos for a correct solution.

Attachment:
diagram.gif

Sales in Jan=$200,000
No of agents in Jan=2
Sales per agent=$100,000
Sales in June=$800,000
No of agents in June=4
Sales per agent in June=$200,000
Reqd % increase=(200,000-100,000/100,000)*100=100%
Answer B
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Bunuel

The above graph lists the monthly sales (in $100,000 increments) at a car dealership. For January and February, the dealership had two sales agents. The dealership added a sales agent in March and one more in May. What was the percent increase in sales per agent in June compared to January?

A. 50%
B. 100%
C. 125%
D. 200%
E. 400%

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Attachment:
diagram.gif

800score Official Solution:

(B) In January, the dealership had 2 agents and had sales of $200,000, or $100,000 per agent. An agent was added to the sales force in March (making 3) and then one more was added in May (making 4). This leaves 4 agents on the sales force for June, when the dealership sold $800,000 or $200,000 per agent ($800,000/4). We can find the percent difference by dividing the difference between the two per-agent amounts by the per-agent amount in January:
Percent Difference = ($200,000 – $100,000) / ($100,000)= 100,000 ÷ 100,000 = 1 or 100%. The correct answer is choice (B).

The trap answer is choice (D). $200,000 per agent is double $100,000 per agent. But remember that the question asks for the percent increase. $200,000 represents 200% of $100,000, but only 100% more than $100,000.
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How do you know that the number of agents in June is 4?
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rebinh1982
How do you know that the number of agents in June is 4?
Because the question says the dealership added one agent in March (so total becomes 3) and added one more in May (so total becomes 4). Therefore, in June there are 4 agents.
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