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

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Senior Manager
Joined: 22 Sep 2005
Posts: 260
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, 05:06
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Difficulty:

15% (low)

Question Stats:

77% (01:32) correct 23% (01:35) wrong based on 137 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, 13:14.
Last edited by Bunuel on 12 Dec 2018, 05:06, edited 2 times in total.
Renamed the topic and edited the question.
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Posts: 53792
Re: During a one day sale, a store sold each sweater of a certain type for  [#permalink]

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08 Sep 2014, 06:03
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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, 08:38
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3
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, 14:59
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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: 2401 Re: During a one day sale, a store sold each sweater of a certain type for [#permalink] ### Show Tags 01 Feb 2008, 15:02 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 _________________ Click +1 Kudos if my post helped EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 13777 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, 14:56 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:

$270 = (Sale price per sweater)(number of sweaters). GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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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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16 Feb 2019, 04:33
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Re: During a one day sale, a store sold each sweater of a certain type for   [#permalink] 16 Feb 2019, 04:33
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