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During a one day sale, a store sold each sweater of a

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

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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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: during-a-one-day-sale-a-store-sold-each-sweater-of-a-92827.html
[Reveal] Spoiler: OA

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

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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

Kudos [?]: 239 [1], given: 13

Manager
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Status: GMAT BATTLE - WIN OR DIE
Joined: 02 May 2011
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Kudos [?]: 108 [0], given: 13

Concentration: General Management, Entrepreneurship
GMAT Date: 12-22-2011
GPA: 3.81
WE: General Management (Hospitality and Tourism)
Re: During a one day sale, a store sold each sweater of a [#permalink]

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New post 18 Jun 2011, 08:41
sudhir18n wrote:
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


thanks

yes this is correct answer

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

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New post 08 Sep 2014, 06:00
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.


Soln:

SP= CP+30$

P1:

n (CP+30$)=270

don't know n and CP. So insufficient

P2:

SP= 3CP/2

dont know CP hence still insufficient

p1+p2=

3CP/2=CP+30$
CP=60$
SP=90$

Total sale= 270/90 = 3 sweaters !!

Hence C

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

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New post 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.


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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: during-a-one-day-sale-a-store-sold-each-sweater-of-a-92827.html
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Re: During a one day sale, a store sold each sweater of a   [#permalink] 08 Sep 2014, 06:03
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