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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.
(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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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.
(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.
General Discussion
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
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
