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A hotdog vendor sold $45 worth of hotdogs at lunchtime Tuesday. Each

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A hotdog vendor sold $45 worth of hotdogs at lunchtime Tuesday. Each  [#permalink]

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New post 24 Aug 2016, 05:19
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A hotdog vendor sold $45 worth of hotdogs at lunchtime Tuesday. Each hotdog cost $1.50. What percentage of his day’s stock of hotdogs did the vendor sell at lunchtime?

(1) The vendor started the day with 120 hotdogs.
(2) The vendor sold twice as many hotdogs at dinnertime as he sold at lunchtime.

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A hotdog vendor sold $45 worth of hotdogs at lunchtime Tuesday. Each  [#permalink]

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New post 24 Aug 2016, 05:54
Bunuel wrote:
A hotdog vendor sold $45 worth of hotdogs at lunchtime Tuesday. Each hotdog cost $1.50. What percentage of his day’s stock of hotdogs did the vendor sell at lunchtime?

(1) The vendor started the day with 120 hotdogs.
(2) The vendor sold twice as many hotdogs at dinnertime as he sold at lunchtime.


let the number of hotdogs be x

Then x(1.5) = 45 => 30 hot dogs sold at lunchtime.

Stat 1: Total 120 hotdogs then as per the data = 120-30/120 = 3/4 = 75% unsold and 25% sold at lunch time...Sufficient.

Stat 2: We don't have information about dinnertime.

IMO option A.
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Re: A hotdog vendor sold $45 worth of hotdogs at lunchtime Tuesday. Each  [#permalink]

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New post 24 Aug 2016, 06:08
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Bunuel wrote:
A hotdog vendor sold $45 worth of hotdogs at lunchtime Tuesday. Each hotdog cost $1.50. What percentage of his day’s stock of hotdogs did the vendor sell at lunchtime?

(1) The vendor started the day with 120 hotdogs.
(2) The vendor sold twice as many hotdogs at dinnertime as he sold at lunchtime.


Target question: What percentage of his day’s stock of hotdogs did the vendor sell at lunchtime?

Given: A hotdog vendor sold $45 worth of hotdogs at lunchtime Tuesday. Each hotdog cost $1.50.
$45/$1.50 = 30, so the vendor sold 30 hotdogs at lunch.

Statement 1: The vendor started the day with 120 hotdogs.
So, out of 120 hotdogs, the vendor sold 30 at lunch.
30/120 = 1/4 = 25%, so the vendor sold 25% of this hotdogs at lunch
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: The vendor sold twice as many hotdogs at dinnertime as he sold at lunchtime.
IF it were the case that lunchtime and dinnertime were the ONLY times when hotdogs were sold, then this information would be sufficient.
However, it COULD be the case that hotdogs were sold at breakfasttime and brunchtime and....
To illustrate why statement 2 is not sufficient, consider these 2 conflicting cases:
Case a: 2 hotdogs sold at breakfast, 2 at lunch, and 4 at dinner. In this case, the vendor sold 25% of his hotdogs at lunchtime.
Case b: 4 hotdogs sold at breakfast, 2 at lunch, and 4 at dinner. In this case, the vendor sold 20% of his hotdogs at lunchtime.
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer:

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Re: A hotdog vendor sold $45 worth of hotdogs at lunchtime Tuesday. Each  [#permalink]

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New post 07 Sep 2017, 02:15
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Re: A hotdog vendor sold $45 worth of hotdogs at lunchtime Tuesday. Each   [#permalink] 07 Sep 2017, 02:15
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