For each customer, a bakery charges p dollars for the first : GMAT Data Sufficiency (DS)
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# For each customer, a bakery charges p dollars for the first

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Intern
Joined: 19 Sep 2006
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For each customer, a bakery charges p dollars for the first [#permalink]

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19 Sep 2006, 15:19
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Question Stats:

74% (02:06) correct 26% (00:57) wrong based on 225 sessions

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For each customer, a bakery charges p dollars for the first loaf of bread bought by the customer and charges q dollars for each additional loaf bought by the customer. What is the value of p ?

(1) A customer who buys 2 loaves is charged 10 percent less per loaf than a customer who buys a single loaf.

(2) A customer who buys 6 loaves of bread is charged 10 dollars.
[Reveal] Spoiler: OA

Last edited by Ergenekon on 10 Feb 2015, 05:17, edited 2 times in total.
Edited the question and added the OA.
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Re: For each customer, a bakery charges p dollars for the first [#permalink]

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19 Sep 2006, 16:34
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Cost for first loaf = p
Cost for remaining = q

S1: Cost of two loaves = p+q
Price /loaf = (p+q)/2 = 0.9p (10% discount)

p+q = 1.8p

or q = 0.8p

or 4p -5q = 0

Not sufficient.

S2: 10 = p+5q
Not sufficient.

S1 & S2:
p+5q = 10
4p-5q=0

or 5p = 10
p = 2

q = 4x2/5 = 1.6

Sufficient w/ 2 equations.
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Re: For each customer, a bakery charges p dollars for the first [#permalink]

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13 Aug 2013, 01:27
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fozzzy wrote:
What would be the equations for this question?

For each customer, a bakery charges p dollars for the first loaf of bread bought by the customer and charges q dollars for each additional loaf bought by the customer. What is the value of p ?

(1) A customer who buys 2 loaves is charged 10 percent less per loaf than a customer who buys a single loaf:

Price of 2 loaves = $(p+q). Price per loaf =$(p+q)/2

Price of a single loaf = $p. Given that (p+q)/2=0.9p. Two unknowns. Not sufficient. (2) A customer who buys 6 loaves of bread is charged 10 dollars --> p+5q=10. Not sufficient. (1)+(2) We have two distinct linear equations with two unknowns: (p+q)/2=0.9p and p+5q=10, thus we can solve for both p and q. Sufficient.. Answer: C. Hope it's clear. _________________ SVP Joined: 05 Jul 2006 Posts: 1744 Followers: 6 Kudos [?]: 327 [0], given: 49 Re: For each customer, a bakery charges p dollars for the first [#permalink] ### Show Tags 20 Sep 2006, 05:44 i cant get the warding of st one...........Help guys VP Joined: 02 Jun 2006 Posts: 1267 Followers: 2 Kudos [?]: 82 [0], given: 0 Re: For each customer, a bakery charges p dollars for the first [#permalink] ### Show Tags 20 Sep 2006, 05:58 Statement 1 says that when you buy 2 loaves of bread instead of 1, you get a discount of 10% per loaf. If you buy 2, then the cost is (p+q) Cost per loaf = (p+q)/2 = 0.5p+0.5q If you buy 1, the cost is p. Cost per loaf = p/1 = p You get a 10% discount per loaf.. i.e. 0.5p+0.5q = 0.9p or 0.5q = 0.4p or 5q = 4p yezz wrote: i cant get the warding of st one...........Help guys SVP Joined: 05 Jul 2006 Posts: 1744 Followers: 6 Kudos [?]: 327 [0], given: 49 Re: For each customer, a bakery charges p dollars for the first [#permalink] ### Show Tags 20 Sep 2006, 07:58 Statement 1 says that when you buy 2 loaves of bread instead of 1, you get a discount of 10% per loaf. If you buy 2, then the cost is (p+q) Cost per loaf = (p+q)/2 = 0.5p+0.5q If you buy 1, the cost is p. Cost per loaf = p/1 = p You get a 10% discount per loaf.. i.e. 0.5p+0.5q = 0.9p or 0.5q = 0.4p or 5q = 4p but dont you think that the part in read is the average cost per loaf not cost per loaf SVP Joined: 05 Jul 2006 Posts: 1744 Followers: 6 Kudos [?]: 327 [0], given: 49 Re: For each customer, a bakery charges p dollars for the first [#permalink] ### Show Tags 20 Sep 2006, 08:04 For each customer, a bakery charges p dollars for the first loaf of bread bought by the customer and charges q dollars for each add'l loaf bought by the customer. What's the value of p? (1) A customer who buys 2 loaves is charged 10% less per loaf than a customer who buys a single loaf. (2) A customer who buys 6 loaves of bread is charged 10 dollars. general formula to calculate price x = p+nq where n is number of loafs in excess of one from one original price of two loafs is = p+q fro one i think it means p+q = 2(0.9)p = 1.8p thus 0.8p=q from two p+5q = 10 both together p+5(0.8p) = 10 thus 5p = 10 and p = 2 and q = 1.6 what is my mistake here Senior Manager Joined: 13 Sep 2006 Posts: 281 Location: New York Followers: 1 Kudos [?]: 18 [0], given: 0 Re: For each customer, a bakery charges p dollars for the first [#permalink] ### Show Tags 20 Sep 2006, 10:11 I used a combination of math and some guess work. I have seen these type of problems before and made the mistake of thinking it was E in the past. However this time I knew it was D ...From the two stems it looks like you are going to get two equations with two variables which one can solve. I just made the sure the equations weren't equal to each other when I chose D...I didn't actually work all the way through the problem. Director Joined: 29 Nov 2012 Posts: 898 Followers: 14 Kudos [?]: 1085 [0], given: 543 Re: For each customer, a bakery charges p dollars for the first [#permalink] ### Show Tags 13 Aug 2013, 00:21 What would be the equations for this question? _________________ Click +1 Kudos if my post helped... Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/ GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html GMAT Club Legend Joined: 09 Sep 2013 Posts: 13937 Followers: 589 Kudos [?]: 167 [0], given: 0 Re: For each customer, a bakery charges p dollars for the first [#permalink] ### Show Tags 03 Jan 2015, 20:11 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ GMAT Club Legend Joined: 09 Sep 2013 Posts: 13937 Followers: 589 Kudos [?]: 167 [0], given: 0 Re: For each customer, a bakery charges p dollars for the first [#permalink] ### Show Tags 18 Feb 2016, 23:24 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Senior Manager Joined: 26 Oct 2016 Posts: 277 Location: United States Concentration: Marketing, International Business Schools: HBS '19 GPA: 4 WE: Education (Education) Followers: 13 Kudos [?]: 24 [0], given: 705 Re: For each customer, a bakery charges p dollars for the first [#permalink] ### Show Tags 26 Jan 2017, 05:51 Question stem tells you that p$ for 1st loaf and q $for additional loaf. 1. if someone buys 2 loaf , he will be charged p+q$.
price per laof = (p+q) / 2 $if one buys only 1 loaf then one pays only p$

St1 tells that

(p+q)/2 = (1-10%) p
p/2+q/2 = 9/10p
q=0.8 p

Cant figure out p insufficient.

2. 6 loaves price is p+5q given as 10$p+5q=10 Insufficient. Together 1 & 2 p+5*0.8p = 10 p =2$
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Thanks & Regards,
Anaira Mitch

Re: For each customer, a bakery charges p dollars for the first   [#permalink] 26 Jan 2017, 05:51
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