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Jerry bought 7 clothing items, including a coat, and the sum

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gayathriz
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Jerry bought 7 clothing items, including a coat, and the sum [#permalink] New post   Updated on: 11 Jun 2013, 06:24
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Jerry bought 7 clothing items, including a coat, and the sum of the prices of these items was $365. If there was no sales tax on any clothing item with a price of less than $100 and a 7 percent sales tax on all other clothing items, what was the total sales tax on the 7 items that Jerry bought?

(1) The price of the coat was $125.
(2) The average (arithmetic mean) price for the 6 items other than the coat was $40.
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E

Originally posted by gayathriz on 24 Apr 2012, 09:13.
Last edited by Bunuel on 11 Jun 2013, 06:24, edited 2 times in total.
Edited the question and added the OA
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Re: Jerry bought 7 clothing items, including a coat, and the sum [#permalink] New post   24 Apr 2012, 11:10
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Jerry bought 7 clothing items, including a coat, and the sum of the prices of these items was $365. If there was no sales tax on any clothing item with a price of less than $100 and a 7 percent sales tax on all other clothing items, what was the total sales tax on the 7 items that Jerry bought?

(1) The price of the coat was $125 --> so we know that there is a 7% tax on the coat. The sum of the prices of the remaining 6 items is $365-$125=$240. We don't know the breakdown of this sum between 6 items, so we can not calculate the total tax. Not sufficient.

To elaborate more: it's possible to have a sales tax on 0 items out of these 6 (for example if all 6 items are priced at $40), on 1 item out of these 6 (for example if the prices of 6 items are 120-24-24-24-24-24) or two items out of these 6 (for example if the prices of 6 items are 110-110-5-5-5).

(2) The average (arithmetic mean) price for the 6 items other than the coat was $40 --> The sum of the prices of these items is 6*$40=$240. The same info as above. Not sufficient.

(1)+(2) Nothing new. Not sufficient.

Answer: E.
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Re: Jerry bought 7 clothing items, including a coat, and the sum [#permalink] New post   03 Jun 2013, 11:02
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Stmt 1 : The price of the remaining 6 items is, 365-125= 240

This leads us to multiple scenarios, 2 of the items could cost $100 each and the remaining 4 items could be $10 each hence tax would be payable on a total of 125+100+100 = $325

Or 1 item could cost $100 and the remaining 5 items could each cost less than $100 and tax would then be payable on 125+100 = $225

As we can not arrive at a definite amount that tax would be payable on, this statement is insufficient


Stmt 2 : Average = Sum/ Number of items

Hence the sum of 6 items is $240 and the cost of the coat is therefore 365-240 = $125

This leads us to the same multiple scenario situation as in statement 1,hence this statement is also insufficient

Both : Both statements are basically giving us the same information and due to the different possible scenarios we are unable to derive the exact amount on which tax would be payable.

Hence together too,they are insufficient.

Answer : E
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Re: Jerry bought 7 clothing items, including a coat, and the sum [#permalink] New post   04 Jun 2013, 03:10
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Interesting, mid-low difficulty question in my opinion.

st.1) Price of a coat is 125 and the price of the other 6 items is 240 (365-125=240).
If we have more than one answer then this statement is not sufficient:
possible answer 1: coat price 125*7%=8,75, 2nd item's price is 110*7%=7,7, 3rd item's price is 110*7%=7,7 ; and the total price of the other 3 items is 20 (no need for taxing). Overall tax amount for 7 items is 24,15
possible answer 2: coat price 125*7%=8,75, and other each of the other 6 items price is equal to 40 (240/6=40). In this case we tax only coat and overall tax amount for 7 items is 8,75.
So we have 2 possible answer choices with one statement, that means this statment is not sufficient.

St.2) This statemnt basically repeats the same information given in the 1st statment. If the average price for 6 items other than coat is 40 (sum of 6 items 240) then the price of the coat is 125. This brings us to the same position as in the statement one. Not sufficient.

As both statements (even combined) do not provide sufficient information to find one solution the answer to this question is E.
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Re: Jerry bought 7 clothing items, including a coat, and the sum [#permalink] New post   10 May 2023, 11:50
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Re: Jerry bought 7 clothing items, including a coat, and the sum [#permalink]
10 May 2023, 11:50
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