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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 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.
[Reveal] Spoiler: OA

Last edited by Bunuel on 23 Oct 2012, 06:28, edited 1 time in total.
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sandranjeim 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 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.

OA=C


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.
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New post 23 Oct 2012, 06:23
Could you please explain :
Revenue = price * # of sweaters sold --> . Not sufficient to determine .

here We can consider Revenue is selling price - cost price , Can we ?

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New post 23 Oct 2012, 06:36
amitvmane wrote:
Could you please explain :
Revenue = price * # of sweaters sold --> . Not sufficient to determine .

here We can consider Revenue is selling price - cost price , Can we ?


The total revenue from the sale is (price per unit) * (# of units sold).

(Selling price per unit) - (Cost price per unit) = (Gross profit from one unit).
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