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What was the range of the selling prices of the 30 wallets sold by a

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What was the range of the selling prices of the 30 wallets sold by a [#permalink]

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New post 23 May 2008, 11:01
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What was the range of the selling prices of the 30 wallets sold by a certain store yesterday?

(1) 1/3 of the wallets had a selling price of $24 each.

(2) The lowest selling price of the wallets was 1/3 the highest selling price of the wallets.
[Reveal] Spoiler: OA

Last edited by Bunuel on 19 Jul 2015, 08:05, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.

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Re: What was the range of the selling prices of the 30 wallets sold by a [#permalink]

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New post 23 May 2008, 12:41
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E.

For the range we need to know the highest and lowest selling price.

1. 1/3 sold for 24 bucks doesn't tell us if those were the highest lower or somewhere in the middle. Insuff.

2. Lowest is 1/3 the highest. We don't know what the highest is? Insuff.

if you combine we still don't know that the 24 dollar ones are the low or high or either so we can't have a range.

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Re: What was the range of the selling prices of the 30 wallets sold by a [#permalink]

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New post 24 May 2008, 10:01
puma wrote:
WHat was the range of the selling prices of the 30 wallets sold by a certain store?

1) 1/3 of the wallets had a selling price of $24 each
2) the lowest selling price of the wallets was 1/3 the highest selling price of the wallets


Stat 1: states that 1/3 of the wallet is sold@24, which means that the other 2/3 could be higher and lower than $24. => not suff.

Stat 2: the lowest price was 1/3 of the highest price, but we have no idea what these prices are looking at 2), therefore, not suff.

Combined: 1/3 of the wallets go for 24 and the price between the lowest & highest is 1/3 the amt. These two stat don't help us at all, as stat 1 does not state wherever the 1/3 is the highest or the lowest of price for each item. Therefore, we're safe to assume E for this question.

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Re: What was the range of the selling prices of the 30 wallets sold by a [#permalink]

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New post 09 Nov 2008, 03:29
E.

Statement 1: We can only know how much was the selling price of 1/3 of the wallet. Not sufficient.
Statement 2: We can only know the ratio of lowest to highest selling price of the wallet. Not sufficient.

Combining these two statements might have helped if one of the statements had talked about the highest or the lowest of the prices. Not much help.

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Re: What was the range of the selling prices of the 30 wallets sold by a [#permalink]

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New post 19 Jul 2015, 06:57
(1) 10 wallets had a selling price of $24 each. Not Sufficient.

(2) min = max/3. Again, not sufficient.

Combining, we still don't know where the $24 falls, so insufficient. Ans (E).
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Re: What was the range of the selling prices of the 30 wallets sold by a [#permalink]

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What was the range of the selling prices of the 30 wallets sold by a certain store yesterday?

To determine the range we need the highest and lowest selling values of the 30.

(1) 1/3 of the wallets had a selling price of $24 each.
From this we learn that 10 wallets were 24. We don't know if any of the other twenty wallets sold for less than or greater than 24. Not sufficient.
(2) The lowest selling price of the wallets was 1/3 the highest selling price of the wallets.
We could determine the range if we had one of these two unknowns. For instance if we had known that the highest selling wallet was 30 dollars, we could determine that the lowest selling price was 10 dollars. But since we know neither, this statement is also not sufficient.

Combining the two statements provides no new information. E

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What was the range of the selling prices of the 30 wallets sold by a [#permalink]

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What was the range of the selling prices of the 30 wallets sold by a certain store yesterday?

Inference: : We require the maximum and minimum price of the wallets sold to determine the range .

Statement 1:1/3 of the wallets had a selling price of $24 each.

It does not mention at what price the remaining 2/3 rd wallets were sold so we can not determine the range. Hence insufficient.

Statement 2:: The lowest selling price of the wallets was 1/3 the highest selling price of the wallets.

Any range which satisfies the equation x(min) = 1/3 x(max) will satisfy the above condition. Therefore multiple cases are possible and the statement is insufficient.

On combining the two statements we can understand that some of the wallets were sold for 24$ but this may or may not be the lowest (or highest) price. For example 1/3 rd of the wallets may have been sold at $10 and 1/3rd at 30$ or if 24$ is the minimum selling price then atleast one wallet was sold for 72$. Multiple cases .

Hence Insufficient
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Re: What was the range of the selling prices of the 30 wallets sold by a [#permalink]

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New post 16 Dec 2017, 14:21
Hi All,

We're told that 30 wallets were sold at a store. We're asked for the RANGE in the prices (meaning the largest price - smallest price). This question can be solved by TESTing VALUES.

1) 1/3 of the wallets had a selling price of $24 each.

This Fact tells us that 10 (of the 30) wallets had a price of $24, but we don't know the largest price nor the smallest price of the group, so there are clearly multiple answers to this question.
Fact 1 is INSUFFICIENT

2) The lowest selling price of the wallets was 1/3 the highest selling price of the wallets.

IF....
The lowest price = $10
Then the largest price = $30
And the range = $20

IF....
The lowest price = $15
Then the largest price = $45
And the range = $30
Fact 2 is INSUFFICIENT

Combined, no additional work is needed. Both examples in Fact 2 could include the 10 wallets that cost $24 each (without impacting the lowest or largest prices of the other wallets) and lead to different answers.
Combined, INSUFFICIENT

Final Answer:
[Reveal] Spoiler:
E


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Re: What was the range of the selling prices of the 30 wallets sold by a   [#permalink] 16 Dec 2017, 14:21
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