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Last Sunday, the Stewart Vineyard ran a price promotion in which it...

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Last Sunday, the Stewart Vineyard ran a price promotion in which it...  [#permalink]

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New post 03 Sep 2018, 10:59
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Last Sunday, the Stewart Vineyard ran a price promotion in which it sold red wine for r dollars per case and white wine for w dollars per case. What was the ratio of the revenue from red wine to the revenue from white wine?

1) Last Sunday, the Stewart Vineyard sold each case of red wine for 3 times as much as each case of white wine.

2) Last Sunday, the Stewart Vineyard sold 2 times as many cases of white wine as it sold of red wine.

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Re: Last Sunday, the Stewart Vineyard ran a price promotion in which it...  [#permalink]

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New post 03 Sep 2018, 18:09
CAMANISHPARMAR wrote:
Last Sunday, the Stewart Vineyard ran a price promotion in which it sold red wine for r dollars per case and white wine for w dollars per case. What was the ratio of the revenue from red wine to the revenue from white wine?

1) Last Sunday, the Stewart Vineyard sold each case of red wine for 3 times as much as each case of white wine.

2) Last Sunday, the Stewart Vineyard sold 2 times as many cases of white wine as it sold of red wine.


Given, \(SP_{r}=$r\) , \(SP_{w}=$w\)

Question stem:- Ratio of revenues or, \(\frac{r*n_{r}}{w*n_{w}}\)=? where \(n_{r}\) & \(n_{w}\) are the no of cases of red and white wine respectively.

St1:- Last Sunday, the Stewart Vineyard sold each case of red wine for 3 times as much as each case of white wine.
Or, r=3*w
We require the value of selling price of red wines and white wines per case or a relationship between their selling prices.
Insufficient.

St2:-Last Sunday, the Stewart Vineyard sold 2 times as many cases of white wine as it sold of red wine.
Or, \(n_{w}=2*n_{r}\)
We require the no of red wines and white wines per case or a relationship between their unit cases.
Insufficient.

Combined, we have,
\(\frac{r*n_{r}}{w*n_{w}}\)=\(\frac{3w*n_{r}}{w*2n_{r}}\)=\(\frac{3}{2}\)
Ans. (C)
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Re: Last Sunday, the Stewart Vineyard ran a price promotion in which it...  [#permalink]

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New post 03 Sep 2018, 20:04
We need to know that:

Total Revenue = (Selling price per case) * (Number of cases sold)

To get the ratio of red wine revenue to white wine revenue, we need both the statements as both the statements fill a neccessary void in my equation. Hence, answer should be (C).

CAMANISHPARMAR wrote:
Last Sunday, the Stewart Vineyard ran a price promotion in which it sold red wine for r dollars per case and white wine for w dollars per case. What was the ratio of the revenue from red wine to the revenue from white wine?

1) Last Sunday, the Stewart Vineyard sold each case of red wine for 3 times as much as each case of white wine.

2) Last Sunday, the Stewart Vineyard sold 2 times as many cases of white wine as it sold of red wine.

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Re: Last Sunday, the Stewart Vineyard ran a price promotion in which it...   [#permalink] 03 Sep 2018, 20:04
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