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ratio set

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by alltimeacheiver » Mon Apr 18, 2011 8:31 pm
In 2003 Acme Computer's price for each of its computers was five times the price for each of its printers. What was the ratio of its gross revenue from computers to its gross revenue from printers in 2003?

(1) In the first half of 2003, Acme sold computers and printers in a ratio of 3:2; in the second half of 2003, Acme sold computers and printers in the ratio of 2:1.

(2) Acme's 2003 price for each of its computers was $1000

I marked c as an option because while combining 2 we can get prices of computers and printers. And for revenues are already given in ratios. so thus we can find an ratios as per question demand. Pls clarify how it can be e as an result
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Source: — Data Sufficiency |

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by Anurag@Gurome » Mon Apr 18, 2011 8:46 pm
alltimeacheiver wrote:In 2003 Acme Computer's price for each of its computers was five times the price for each of its printers. What was the ratio of its gross revenue from computers to its gross revenue from printers in 2003?

(1) In the first half of 2003, Acme sold computers and printers in a ratio of 3:2; in the second half of 2003, Acme sold computers and printers in the ratio of 2:1.

(2) Acme's 2003 price for each of its computers was $1000

I marked c as an option because while combining 2 we can get prices of computers and printers. And for revenues are already given in ratios. so thus we can find an ratios as per question demand. Pls clarify how it can be e as an result
Let each Computer's price = C and each printer's price = P. Then C = 5P
Let no. of computers = x and no. of printers = y, then we need to find xC : yP

(1) From this statement we don't get the info on the no. of computers and printers. So, it is NOT SUFFICIENT.

(2) One computer's price, that is C = $1000, which implies P = 1000/5 = 200. But still we don't the values of x and y.
So, again (2) is NOT SUFFICIENT.

Combining (1) and (2), we know P and C, but no info on x and y. So, combining the statements also is NOT SUFFICIENT.

The correct answer is E.
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by Tani » Tue Apr 19, 2011 11:15 am
Looked at another way, if the company sold 10,000 total units in the first half and only 10 in the second half, the ratio would be very close to the first half ratio. If the numbers were reversed, the ratio you are seeking would be very close to the second half ratio. Without sometime to help us weight the two ratios were are lost.
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by telberrak » Tue Apr 19, 2011 11:48 am
Hi,

What if the first statement says :

1) In 2003, Acme sold computers and printers in a ratio of 3:2


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by Tani » Tue Apr 19, 2011 5:12 pm
If you are given the ratio for the whole year then you don't need to weight the volumes and A is sufficient.
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by telberrak » Tue Apr 19, 2011 11:23 pm
Many Thanks
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by stelis » Fri Dec 21, 2012 3:45 pm
I would like to ask , would statement (1) be sufficient if the company sold equal number of units in both the first and the second half ?



ps I think yes because both ratios are weighted the same !
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