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# During a one day sale, a store sold each sweater of a certain type for

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During a one day sale, a store sold each sweater of a certain type for  [#permalink]

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Updated on: 12 Dec 2018, 04:06
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25% (medium)

Question Stats:

75% (01:33) correct 25% (01:35) wrong based on 302 sessions

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During a one day sale, a store sold each sweater of a certain type for $30 more than the store's cost to purchase each sweater. How many of these sweaters were sold during the sale? (1) During the sale, the total revenue from the sale of these sweaters was$270.

(2) During the sale, the store sold each of these sweaters at a price that was 50% greater than the store's cost to purchase each sweater.

Originally posted by netcaesar on 01 Feb 2008, 12:14.
Last edited by Bunuel on 12 Dec 2018, 04:06, edited 2 times in total.
Renamed the topic and edited the question.
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Re: During a one day sale, a store sold each sweater of a certain type for  [#permalink]

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08 Sep 2014, 05:03
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WishMasterUA wrote:
During a one day sale, a store sold each sweater of a certain type for $30 more than the store's cost to purchase each sweater. How many of these sweaters were sold during the sale? (1) During the sale, the total revenue from the sale of these sweaters was$270.

(2) During the sale, the store sold each of these sweaters at a price that was 50% greater than the store's cost to purchase each sweater.

During a one day sale, a store sold each sweater of a certain type for $30 more than the store's cost to purchase each sweater. How many of thses sweaters were sold during the sale? (1) During the sale, the total revenue from the sale of these sweaters was$270.

(2) During the sale, the store sold each of these sweaters at a price that was 50% greater than the store's cost to purchase each sweater.

Given: $$p=c+30$$

(1) Revenue = price * # of sweaters sold --> $$270=p*n=(c+30)n$$. Not sufficient to determine $$n$$.

(2) $$p=1.5c=c+30$$ --> $$c=60$$. Not sufficient.

(1)+(2) $$c=60$$ and $$270=(c+30)n=90n$$ --> $$n=3$$. Sufficient.

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Re: During a one day sale, a store sold each sweater of a certain type for  [#permalink]

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18 Jun 2011, 07:38
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WishMasterUA wrote:
During a one day sale, a store sold each sweater of a certain type for 30$more than the store's cost to purchase each sweater. How many of these sweaters were sold during the sale? 1) During the sale, total revenue from of these sweaters was 270$.

2) During the sale, the store sold each of these sweaters at a price that was 50% greater tan the store's cost to purchase each sweater.

S = selling price
C = cost price
\Question tells us S= C+30

st 1 = Selling price * no of sweaters = 270.............. insufficient
st 2 = S = 1.5C
using information from question
1.5 C = C+30
0.5C = 30
C = 60
S =90
but no clue on revenue or number of sweaters sold. ............. insufficient

together 90* no of sweaters = 270
no of sweater = 3
sufficient

hence C
##### General Discussion
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Re: During a one day sale, a store sold each sweater of a certain type for  [#permalink]

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01 Feb 2008, 13:59
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1
netcaesar wrote:
During a one day sale, a store sold each sweater of a certain type for $30 more than the store's cost to purchase each sweater. how many of those sweaters were sold during the sale? 1) During the sale the total revenue from sale of these sweaters was$270
2) During the sale, the store sold each of these sweaters at a price that was 50% greater than the store's cost to purchase each sweater.

(C)

Sale price = $30 + Cost price, or S =$30 + C

1) Insufficient. Each sweater could have been sold for 60 or 230.
If n sweaters were sold, we have n*S = 270

2) Insufficient. 50% greater = $30, hence or S = 1.5*C Plugging this in the first equation, we get S = 90, C = 60. But we still don't have n. Combining (1) & (2): n*90 = 270 or n = 3 _________________ SVP Joined: 29 Mar 2007 Posts: 1664 Re: During a one day sale, a store sold each sweater of a certain type for [#permalink] ### Show Tags 01 Feb 2008, 14:02 1 1 netcaesar wrote: During a one day sale, a store sold each sweater of a certain type for$30 more than the store's cost to purchase each sweater. how many of those sweaters were sold during the sale?

1) During the sale the total revenue from sale of these sweaters was $270 2) During the sale, the store sold each of these sweaters at a price that was 50% greater than the store's cost to purchase each sweater. 1: revenue = profits - cost. 270$=(x+30)z z is the number of sweaters.

we have two unknowns and only 1 equation insuff.

(1) During the sale, the total revenue from the sale of these sweaters was $270. (2) During the sale, the store sold each of these sweaters at a price that was 50% greater than the store's cost to purchase each sweater. Given: $$p=c+30$$ (1) Revenue = price * # of sweaters sold --> $$270=p*n=(c+30)n$$. Not sufficient to determine $$n$$. (2) $$p=1.5c=c+30$$ --> $$c=60$$. Not sufficient. (1)+(2) $$c=60$$ and $$270=(c+30)n=90n$$ --> $$n=3$$. Sufficient. Answer: C. Dear Bunuel,I follow the below way to answer the above question and I do not know what is the wrong in my way? we have that (Selling price per unit) - (Cost price per unit) = (Gross profit from one unit)= 30 270= (Selling price per unit - Cost price per unit)*# of sweaters sold 270= 30*# of sweaters sold So # of sweaters sold = 270/30 EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 16738 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: During a one day sale, a store sold each sweater of a certain type for [#permalink] ### Show Tags 25 Feb 2015, 13:56 1 Hi 23a2012, In your calculation, you're using the PROFIT to determine the number of sweaters sold, but the$270 mentioned in Fact 1 is based on the REVENUE.

The equation is supposed to be:

each sweater sold for $45, then$270/$45 = 6 sweaters were sold (and the profit was 6($30) = $180) GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at: Rich.C@empowergmat.com The Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★ Manager Joined: 14 Nov 2018 Posts: 89 Location: United Arab Emirates Concentration: Finance, Strategy Schools: LBS '22 (I) GMAT 1: 590 Q42 V30 GMAT 2: 670 Q46 V36 GPA: 2.6 Re: During a one day sale, a store sold each sweater of a certain type for [#permalink] ### Show Tags 09 Jan 2020, 09:41 Bunuel chetan2u VeritasKarishma Isnt it true if the price is more than$30, there can only be one price for the sweater i.e. 90 given the number of sweaters sold have to be an integer. Unless he sells one sweater for $270 but the question states how many sweaters? EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 16738 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: During a one day sale, a store sold each sweater of a certain type for [#permalink] ### Show Tags 09 Jan 2020, 14:43 1 Hi gmatapprentice, To answer your immediate question: YES - the number of sweaters MUST be an integer (for example, you can't buy "1/7 of a sweater" in these types of questions). In my post (directly above yours), I included 2 different examples in which the selling price of a sweater was MORE than$30. There's actually another option though:

IF... each sweater sold for $135, then$270/$135 = 2 sweaters were sold (and the profit was 2($30) = \$60)

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Re: During a one day sale, a store sold each sweater of a certain type for  [#permalink]

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09 Jan 2020, 23:54
Missed your post somehow EMPOWERgmatRichC - thanks for the clarification all clear.
Re: During a one day sale, a store sold each sweater of a certain type for   [#permalink] 09 Jan 2020, 23:54