The graph above shows the relationship between cold calls and sales

Question

https://gmatclub.com/forum/download/file.php?mode=view&id=56149 The graph above shows the relationship between cold calls and sales for the Mandala Company, for the years 2003, 2004, and 2005. In addition, the value n (not shown) represents the ratio of the number of sales made to the number of cold calls made. Use the drop-down menus to fill in the blanks in each of the following statements based on the information given by the graph. 1. The value of n is greater than 0.2 for GRAPH_1_PLACEHOLDER points on the graph. 2. For sales per 1000 calls, the difference between the highest value shown for 2003 and the lowest value shown for 2005 represents approximately GRAPH_2_PLACEHOLDER from the 2003 value. STPQUQG.png

Apt0810 · Answer

Answer options are reversed... please check once

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Sajjad1994 · Answer

Thanks! Please take a look at again and let me know if it is OK now.

Regards

Apt0810 · Answer

1)For the above scenario we need to calculate n

a)2005
Sales=200,Cold calls=1000,n=.2
Sales=200,Cold calls=2000,n=.1
Sales=350,Cold calls=3000,n=.11
Sales=500,Cold calls=4000,n=.125
b)2004
Sales=420,Cold calls=1000,n=.42
Sales=410,Cold calls=2000,n=.205
Sales=390,Cold calls=3000,n=.13
Sales=400,Cold calls=4000,n=.1
c)2003
Sales=290,Cold calls=1000,n=.29
Sales=300,Cold calls=2000,n=.15
Sales=300,Cold calls=3000,n=.1
Sales=310,Cold calls=4000,n=.07
So n>0.2 for 3 times

2)Highest value in 2003 =310
And lowest for 2005 =200
So % =110/310*100=35% decrease

Posted from my mobile device

jefferyk · Answer

This makes much more sense, was a problem from Princeton's end. Thanks.

Sajjad1994 · Answer

Official Explanation

1. The value of n is greater than 0.2 for_____________points on the graph.

According to the graph, the value n represents the ratio of the number of sales made to the number of cold calls made. Since the number of sales is represented in hundreds, per 1000 calls, and the number of calls is represented in thousands, then you will have to be mindful of these increments when expressing n as a ratio. For example, if a point on the graph rests at (3,3), then this represents 300 sales per 1000 calls for 3000 total calls, or 900 sales for 3000 calls, and n would thus have a value of  \frac{900}{3000}=0.3 . With this calculation, ten of the twelve points on the graph have a value for n that is larger than 0.2:

Point n value

(1, 2)

200 sales per 1000 calls for 1000 total calls = 200 sales for 1000 calls. n=200/1000=0.2

(1, 2.9)

290 sales per 1000 calls for 1000 total calls = 290 sales for 1000 calls. 290/1000=0.29

(1, 4.2)

420 sales per 1000 calls for 1000 total calls = 420 sales for 1000 calls. 420/1000=0.42

Answer: D

2. For sales per 1000 calls, the difference between the highest value shown for 2003 and the lowest value shown for 2005 represents approximately___________from the 2003 value.

This question asks you to calculate the difference between the highest value shown for sales per thousand calls in 2003 and the lowest value shown for sales per thousand calls in 2005, and then to determine what percent change that would be from the 2003 value. The highest value shown for 2003 is a little bit above 3, or 3.1, and the lowest value shown for 2005 is 2. Therefore, the 2005 value is a decrease from the 2003 value. First, you should try to ballpark that difference. The change from 3 to 2 is 1 so the percent decrease is roughly one third, or 33%. However, there are two values close to 33%, so you'll have to do the calculation. To figure the percent decrease, calculate  \frac{difference}{original amount}  or  \frac{3.1-2}{3.1}=\frac{1.1}{3.1}=.5848

Therefore, the percent decrease is approximately 35%.

Answer: B

agrasan · Answer

Hi  Sajjad1994 
For part-1, answer should be 3 right? I don't know where I am going wrong in my calculation.

princiejain · Answer

Actually, you dont need to calculate n, you can just take values of y axis. 
Like in case of 2003 second point, n is equal for 200 sales per 1000 calls or 400 sales per 2000 calls.

cfpenteado · Answer

Can anyone explain why dropdown 1 is 10 and not 3?

agrasan · Answer

Yes  cfpenteado , even I am not clear with that.

cheshire · Answer

The correct answer is 10 because we are looking for the number of points with a n greater than .2

You take the x axis (number of calls in thousands) and the y axis (number of sales per thousand calls in hundreds) and then calculate the n value

If we take the 3 points at x=2 for instance, we would end up with these 3 n values:

2003: (300*2)/(2000) = .3
2004: (400*2)/(2000) = .4
2005: (200*2)/(2000) = .2

From these 3 n values, 2 are greater than .2

Out of the 12 total points, the only two with n values less than .2 are at (1,2) and (2,2), which means 10 are greater.

The graph above shows the relationship between cold calls and sales

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The graph above shows the relationship between cold calls and sales

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