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A retailer sells pashminas at a ten percent discount. If a pashmina co

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New post 07 Oct 2016, 02:34
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A
B
C
D
E

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Question Stats:

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A retailer sells pashminas at a ten percent discount. If a pashmina co  [#permalink]

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New post 07 Oct 2016, 02:47
The minimum tagged price the retailer needs to
sell at to make a profit of atleast 20%,
after offering a 10% discount on tagged price is 1.2*CP(90).
Since, he has to sell the pashmina at 10% discount.
Marked price is 100$(Option B)
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Re: A retailer sells pashminas at a ten percent discount. If a pashmina co  [#permalink]

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New post 10 Oct 2016, 05:31
Let the marked price be: $x (before discount).
This gives us : (90% of $x (i.e. after discount) - 75)/75 = Profit of 20%.
Solving for x, $100 (mark B).
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Re: A retailer sells pashminas at a ten percent discount. If a pashmina co  [#permalink]

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New post 10 Oct 2016, 06:03
Bunuel wrote:
A retailer sells pashminas at a ten percent discount. If a pashmina cost him $75 and he wants to make a profit of no less than twenty percent on the cost (after the discount), what is the minimum tag price he needs to put on a pashmina?

A. 90
B. 100
C. 120
D. 140
E. 150

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A retailer sells pashminas at a ten percent discount.

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he wants to make a profit of no less than twenty percent on the cost (after the discount)

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Quote:
If a pashmina cost him $75 and he wants to make a profit of no less than twenty percent on the cost (after the discount), what is the minimum tag price he needs to put on a pashmina?

So, Marked Price must be 75/90*120 = 100

Hence correct answer must be (B)

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Re: A retailer sells pashminas at a ten percent discount. If a pashmina co  [#permalink]

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New post 10 Oct 2016, 20:33
Bunuel wrote:
A retailer sells pashminas at a ten percent discount. If a pashmina cost him $75 and he wants to make a profit of no less than twenty percent on the cost (after the discount), what is the minimum tag price he needs to put on a pashmina?

A. 90
B. 100
C. 120
D. 140
E. 150

CP of pashmina=75
so for 20% profit the SP must be 75(1+20%)=90
but the seller is giving 10% discount on marked price let X
after giving 10% discount on Marked price(X) he must get $90
thus X(1-10%)=90
solving for X
X=100

Ans B
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Re: A retailer sells pashminas at a ten percent discount. If a pashmina co  [#permalink]

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New post 05 Dec 2016, 11:29
0.90x-75>= 15
x>=100

B.
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Re: A retailer sells pashminas at a ten percent discount. If a pashmina co  [#permalink]

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New post 23 Jun 2017, 16:05
Bunuel wrote:
A retailer sells pashminas at a ten percent discount. If a pashmina cost him $75 and he wants to make a profit of no less than twenty percent on the cost (after the discount), what is the minimum tag price he needs to put on a pashmina?

A. 90
B. 100
C. 120
D. 140
E. 150


What this question is basically saying- and I'm not sure if the parentheses was included in the exact copy of the question- is that whatever price this retailer decides to sell the pashmina at must give him a 20 percent profit on the cost it took him to buy the pashmina 75$. A 20 percent profit of $75 dollars would represented as 75.00 x 1.2 = 90 dollars. So whatever price the retailer decides to sell this pashimina at, it must make him at least 15 dollars- in other words

Cost After Discount- 75$≥ $15.00

Now, the question asks for the minimum value. Answer choice "B" clearly satisfies this condition.

$100(.9) - $75= $15

Thus
"B"
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Re: A retailer sells pashminas at a ten percent discount. If a pashmina co  [#permalink]

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New post 23 Jun 2017, 16:16
A retailer sells pashminas at a ten percent discount. If a pashmina cost him $75 and he wants to make a profit of no less than twenty percent on the cost (after the discount), what is the minimum tag price he needs to put on a pashmina?

Cost Price = $75
Selling Price = x

profit = 0.2* 75 = sp - cp

=> 0.90 * x - 75 = 15
=> 0.90 * x = 90
=> x = 100
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A retailer sells pashminas at a ten percent discount. If a pashmina co  [#permalink]

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New post 01 Jul 2017, 10:42
Bunuel wrote:
A retailer sells pashminas at a ten percent discount. If a pashmina cost him $75 and he wants to make a profit of no less than twenty percent on the cost (after the discount), what is the minimum tag price he needs to put on a pashmina?

A. 90
B. 100
C. 120
D. 140
E. 150

10% discount on SP = .90SP

After discount (.90SP), wants to make at least 20% on cost of $75 = (1.2)(75)

.90SP = (1.2)(75)

.90SP = 90

SP = \(\frac{90}{.9}\) = \(\frac{900}{9}\) = 100

Answer B
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Re: A retailer sells pashminas at a ten percent discount. If a pashmina co  [#permalink]

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New post 04 Feb 2019, 18:36
Bunuel wrote:
A retailer sells pashminas at a ten percent discount. If a pashmina cost him $75 and he wants to make a profit of no less than twenty percent on the cost (after the discount), what is the minimum tag price he needs to put on a pashmina?

A. 90
B. 100
C. 120
D. 140
E. 150


We know that the minimum profit will be 75 x 0.2 = $15. Thus, the retailer needs to collect at least 75 + 15 = $90 cash from the customer for a pashmina.
We need to determine what the tag price would need to be such that a 10% discount would yield 90 dollars. Letting p = the tag price, we have:

0.9p = 90

p = 100

Answer: B
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Re: A retailer sells pashminas at a ten percent discount. If a pashmina co   [#permalink] 04 Feb 2019, 18:36
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