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# PS1000 Sec7#20

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Manager
Joined: 04 Dec 2008
Posts: 104

Kudos [?]: 225 [0], given: 2

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19 Apr 2009, 21:08
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This is simple but I can't seem to get around this one. Especially with "determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price". Appreciate if someone could explain.

A merchant purchased a jacket for \$60 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
(A) \$0
(B) \$3
(C) \$4
(D) \$12
(E) \$15

Kudos [?]: 225 [0], given: 2

Manager
Joined: 12 Apr 2009
Posts: 210

Kudos [?]: 243 [0], given: 4

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20 Apr 2009, 19:36
joyseychow wrote:
This is simple but I can't seem to get around this one. Especially with "determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price". Appreciate if someone could explain.

A merchant purchased a jacket for \$60 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
(A) \$0
(B) \$3
(C) \$4
(D) \$12
(E) \$15

the equation for "a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price"

Selling Price = S
S= (purchase price) + 25/100(S)
S= 60 + 0.25S
0.75S = 60
s= 80

At the sale new selling price = 0.8S (20% less than original selling price)

Therefore new sale price is = (0.8)60 = 64

therefore gross profit is 64 - 60 = 4.

C. (its better/faster to work with fractions and you don't really need to solve for S - just compute the final figure and then deduct)

OA?
_________________

-talent is the desire to practice-

Kudos [?]: 243 [0], given: 4

Manager
Joined: 14 Nov 2008
Posts: 195

Kudos [?]: 129 [0], given: 3

Schools: Stanford...Wait, I will come!!!

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22 Apr 2009, 08:53
joyseychow wrote:
This is simple but I can't seem to get around this one. Especially with "determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price". Appreciate if someone could explain.

A merchant purchased a jacket for \$60 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
(A) \$0
(B) \$3
(C) \$4
(D) \$12
(E) \$15

cost price=\$60

let Selling price=y
y=\$60+ .25y
y=\$80

Now discount =.20y
So.. the actual selling price= .80* \$80 = \$64
So, profit = \$4

Kudos [?]: 129 [0], given: 3

Manager
Joined: 04 Dec 2008
Posts: 104

Kudos [?]: 225 [0], given: 2

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27 Apr 2009, 00:02
Thanks to both of you!! It's that simple. Guess I over read the ques till I got confused.

OA is \$4 (C)

Kudos [?]: 225 [0], given: 2

Re: PS1000 Sec7#20   [#permalink] 27 Apr 2009, 00:02
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