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Henry purchased 3 items during a sale. He received a 20 [#permalink]
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Updated on: 08 Mar 2015, 13:29
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Henry purchased 3 items during a sale. He received a 20 percent discount off the regular price of the most expensive item and a 10 percent discount off the regular price of each of the other 2 items. Was the total amount of the 3 discounts greater than 15 percent of the sum of the regular prices of the 3 items? (1) The regular price of the most expensive item was $50, and the regular price of the next most expensive item was $20 (2) The regular price of the least expensive item was $15 Attachment:
Henry discount on items.GIF [ 14.71 KiB  Viewed 15608 times ]
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Originally posted by docabuzar on 27 Jan 2012, 06:24.
Last edited by Bunuel on 08 Mar 2015, 13:29, edited 3 times in total.
Added the OA



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Re: Henry purchased 3 items during a sale. He received a 20 [#permalink]
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27 Jan 2012, 06:32
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docabuzar wrote: Henry purchased 3 items during a sale. He received a 20 percent discount off the regular price of the most expensive item and a 10 percent discount off the regular price of each of the other 2 items. Was the total discount of these three items greater than 15 percent of the sum of the regular prices of the 3 items?
(1) The regular price of the most expensive item was $50, and the regular price of the next most expensive item was $20 (2) The regular price of the least expensive item was $15 Let the prices be a, b, and c, so that a > b > c. Basically the questions: is \(0.2a+0.1b+0.1c>0.15(a+b+c)\)? > is \(a>b+c\)? (1) The regular price of the most expensive item was $50 and the regular price of the next most expensive item was $20 > \(a=50\), \(b=20\), \(c\leq{20}\) (as the second most expensive item was $20 then the least expansive item, the third one, must be less than or equal to 20). So the question becomes: is \(50>20+c\) > is \(c<30\)? As we got that \(c\leq{20}\), hence the above is always true. Sufficient. (2) The regular price of the least expensive item was $15. Clearly insufficient. Answer: A.
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Re: Henry purchased 3 items during a sale. He received a 20 [#permalink]
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27 Jan 2012, 07:21
Then it makes sense. Thanks



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Re: Henry purchased 3 items during a sale. He received a 20 [#permalink]
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27 Jan 2012, 07:25
THe Q asks for the which of discounts will be greater 20%, 10%, 10% on A, B, C resp or 15% on (A+B+C). How can we say its same as 50> 20+C ? Now I m totally lost.



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Re: Henry purchased 3 items during a sale. He received a 20 [#permalink]
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27 Jan 2012, 07:30



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Re: Henry purchased 3 items during a sale. He received a 20 [#permalink]
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27 Jan 2012, 07:34
Thanks. Its clear now.
Just how do you know to keep A on one side & B & C on other? This simplied the Ans a lot.



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Re: Henry purchased 3 items during a sale. He received a 20 [#permalink]
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27 Jan 2012, 07:38



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Re: Henry purchased 3 items during a sale. He received a 20 [#permalink]
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22 Aug 2014, 20:30
Bunuel: if the first item is 50, the next 2 are 20. If I take 20% of 50 I get 10 and 10% of 20 I get 2. Total discount is 14 and total price is 90. 14/90>.15. What's am I doing wrong?



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Re: Henry purchased 3 items during a sale. He received a 20 [#permalink]
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23 Aug 2014, 12:21
bankerboy30 wrote: Henry purchased 3 items during a sale. He received a 20 percent discount off the regular price of the most expensive item and a 10 percent discount off the regular price of each of the other 2 items. Was the total discount of these three items greater than 15 percent of the sum of the regular prices of the 3 items?
(1) The regular price of the most expensive item was $50, and the regular price of the next most expensive item was $20 (2) The regular price of the least expensive item was $15
Bunuel: if the first item is 50, the next 2 are 20. If I take 20% of 50 I get 10 and 10% of 20 I get 2. Total discount is 14 and total price is 90. 14/90>.15. What's am I doing wrong? Total discount = $14. The sum of the regular prices of the 3 items = $90. 15% of $90 = $13.5. $14 > $13.5.
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Re: Henry purchased 3 items during a sale. He received a 20 [#permalink]
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15 Jul 2017, 11:24
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I believe this question is a perfect example of an "Easy C" trap. Just by realizing that A&B would be sufficient and make the problem way too easy, we can eliminate C,D and E. This is a simple rule that could improve one's chances on 700+ problems



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Re: Henry purchased 3 items during a sale. He received a 20 [#permalink]
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19 Dec 2017, 00:35
Fortunately or Unfortunately, the OA is C for this one. I'm staring at the answer on GMATPREP software :/ Attaching screenshot



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Re: Henry purchased 3 items during a sale. He received a 20 [#permalink]
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19 Dec 2017, 00:47




Re: Henry purchased 3 items during a sale. He received a 20
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19 Dec 2017, 00:47






