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28 Jul 2017, 00:24
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45% (medium)

Question Stats:

66% (02:05) correct 34% (01:43) wrong based on 59 sessions

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A retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for$8/pack. If the retailer sold all the shirts it purchased and profited $84 on the sale, how many packs of shirts did it sell? A. 10 B. 48 C. 56 D. 96 E. 240 _________________ SVP Joined: 08 Jul 2010 Posts: 2296 Location: India GMAT: INSIGHT WE: Education (Education) Re: A retailer buys cases of 24 shirts for$30/case and then resells them  [#permalink]

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28 Jul 2017, 00:53
1
1
Bunuel wrote:
A retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for$8/pack. If the retailer sold all the shirts it purchased and profited $84 on the sale, how many packs of shirts did it sell? A. 10 B. 48 C. 56 D. 96 E. 240 Buys cases of 24 shirts for$30/case and resells them in packs of 5 for $8/pack Cost price per shirt = 30/24 =$1.25

Selling price per shirt = 8/5 = $1.60 Profit per shirt = 1.60-1.25 =$0.35

Total profit = $84 Total Shirts = 84/0.35 = 240 Shirts Total packs while selling = 240/5 = 48 Answer: Option B _________________ Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772 Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html 22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION Director Joined: 18 Aug 2016 Posts: 629 Concentration: Strategy, Technology GMAT 1: 630 Q47 V29 GMAT 2: 740 Q51 V38 Re: A retailer buys cases of 24 shirts for$30/case and then resells them  [#permalink]

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28 Jul 2017, 01:05
2
Bunuel wrote:
A retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for$8/pack. If the retailer sold all the shirts it purchased and profited $84 on the sale, how many packs of shirts did it sell? A. 10 B. 48 C. 56 D. 96 E. 240 Let y be no. of cases bought and x be no. of packs sold 24*y = 5*x 8*x - 30*y = 84 y= 5x/24 8x - 25x/4 = 84 7x = 84*4 x = 48 B _________________ We must try to achieve the best within us Thanks Luckisnoexcuse Intern Joined: 31 Mar 2015 Posts: 40 Concentration: Marketing, General Management GMAT Date: 06-26-2015 GPA: 3.45 WE: Engineering (Computer Software) Re: A retailer buys cases of 24 shirts for$30/case and then resells them  [#permalink]

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14 Jul 2018, 06:24
GMATinsight wrote:
Bunuel wrote:
A retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for$8/pack. If the retailer sold all the shirts it purchased and profited $84 on the sale, how many packs of shirts did it sell? Well the math here in this question is straight forward. I'm confused with the wording of the question. A retailer buys cases of 24shirts for$30/case

1. How do we know how many cases are bought?

beacuse $30 is not for all the shirts, it is per CASE. How about retailer bought 2 cases. Which would make$60 for 2 cases(24shirts) and $2.5 per shirt. But all the calculations are made on this assumption that there are 24 shirts and 1 case. Can you please help me understand this bit of the question please. _________________ -------------------- Shravan GMATPrep--430, Q30,V20 ++ 150Hrs ++ VeritasPrep--610, Q45,V29 Senior SC Moderator Joined: 22 May 2016 Posts: 1973 A retailer buys cases of 24 shirts for$30/case and then resells them  [#permalink]

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14 Jul 2018, 12:15
shra1raju wrote:
GMATinsight wrote:
Bunuel wrote:
A retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for$8/pack. If the retailer sold all the shirts it purchased and profited $84 on the sale, how many packs of shirts did it sell? Well the math here in this question is straight forward. I'm confused with the wording of the question. A retailer buys cases of 24shirts for$30/case

1. How do we know how many cases are bought?

beacuse $30 is not for all the shirts, it is per CASE. How about retailer bought 2 cases. Which would make$60 for 2 cases(24shirts) and $2.5 per shirt. But all the calculations are made on this assumption that there are 24 shirts and 1 case. Can you please help me understand this bit of the question please. shra1raju , I think you may be a little mixed up about the total number of shirts originally bought and/or number of shirts per case. The total number of shirts bought is NOT 24. Could you explain how you got that idea? The only reason that I can imagine is that the word "OF" does not make sense to you. See below. Total # of shirts is 24 per case times number of cases. Quote: all the calculations are made on this assumption that there are 24 shirts and 1 case. True. But that assumption is inferred from this language: "A retailer buys cases of 24 shirts for$30/case..."

cases OF 24 shirts =
-- cases that have 24 shirts in them OR
-- cases in which the contents of each case consist OF 24 shirts
Quote:
beacuse $30 is not for all the shirts, it is per CASE True,$30 is for one case. But each case contains 24 shirts. And the "cases of 24" that cost "$30 per case" are the same cases. Quote: that one case does not necessarily have 24 shirts. Why not? How not? This declaration is an assertion, not an explanation. Could you explain? I do not see the logic. If "cases OF 24" is not the problem, then I cannot understand what makes you believe that: 1) total shirts bought is 24; and 2) there are NOT 24 shirts in each case Extend the analysis re "cases of 24 shirts..." Think of "pens come in packages of 10." There are 10 pens in one package. Or "I bought some cartons of 12 eggs for$5.00/carton." Does that language seem to you as if the number of eggs in the carton changes? Or as if I bought only 12 eggs? Or only one carton?
Quote:
How about retailer bought 2 cases. Which would make $60 for 2 cases(24shirts) and$2.5 per shirt.

No. 2 cases = 48 shirts

She did not buy a total of 24 shirts. She bought 24 shirts per case. She bought some # of cases. (Turns out to be 10, see below.)

The prompt does not say, "a retailer buys 24 shirts for $30/case." We can backsolve to get the number of cases purchased. Cost per shirt: $$\frac{30}{24shirts}=1.25$$ per shirt Sell price per shirt: $$\frac{8}{5shirts}=1.60$$ per shirt Profit per shirt: (SP - C) = ($1.60 - $1.25) =$0.35

Number of shirts sold:
$$\frac{TotalProfit}{ProfitPerShirt}=\frac{84.00}{0.35}=240$$ shirts

Number of cases purchased originally - We could divide the total of 240 shirts by 24 shirts per case: she bought 10 cases

Total cost: ($30/case * 10 cases) =$300
Total revenue: ($8/pack * 48 packs^) =$384
Total profit: (TR - TC) = ($384 -$300) = $84 Hope this helps. If it does not, please try to rephrase your logic to explain how you inferred what you did? ^48 packs is the answer to the question: "How many packs of shirts did she sell?" She sold 240 shirts. 5 shirts per pack. She sold $$\frac{240}{5}=48$$ packs of shirts _________________ In the depths of winter, I finally learned that within me there lay an invincible summer. -- Albert Camus, "Return to Tipasa" A retailer buys cases of 24 shirts for$30/case and then resells them &nbs [#permalink] 14 Jul 2018, 12:15
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