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Re: A retailer bought a machine [#permalink]
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.9x-90=.2(90)

when x= retail price and $90 is wholesale price.

so you get x=120. Answer is c
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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink]
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Hi All,

Beyond the various Algebra-based approaches, and TESTing THE ANSWERS, this question has some great logical shortcuts in it that can help you to avoid most of the 'math' involved.

To start, we know that the Wholesale Price was $90. Later, we're told that the dealer made a 20% profit on the Wholesale Price....

(20%)($90) =
(.2)($90) =
$18

Wholesale Price + Profit = $90 + $18 = $108

However, we were told that the Retail Price was DISCOUNTED by 10% (to get down to $108). We're asked for that original Retail Price.

Whatever that retail price was, we know that it was GREATER than $108.

10% of $108 is a little over $10, so that discount had to be GREATER than $10...

$108 + (> $10) = Retail Price > $118

There's only one answer that fits:

Final Answer:

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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink]
monirjewel wrote:
A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?

(A) 81
(B) 100
(C) 120
(D) 135
(E) 160


I guess it should say wholesale price rather than 'whole price'
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Re: A retailer bought a machine [#permalink]
My solution: Wholesale Price= 90
Retail Price, be = x
He provides 10 % discount on Retail price= x-10x/100
This Retail price = 20 % profit on Wholesale price
x-10x/100 = 90+ 1/5(90)
x=120
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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink]
monirjewel wrote:
A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?

(A) 81
(B) 100
(C) 120
(D) 135
(E) 160


First find the sale price. Profit is 20% so sale price is 1.2*90 = $108. Then, use POE on the answer choices, see which answer choices yields 108 when you subtract 10% of it. 120 - 12 = 108. Answer C it is.
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An appliance dealer bought an answering machine at a wholesale [#permalink]
An appliance dealer bought an answering machine at a wholesale price of $90 and then sold it at a 10 percent discount off the retail price. If the dealer made a 20 percent profit on the wholesale price, what was the retail price of the answering machine?

A) $99
B) $108
C) $110
D) $117
E) $120
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Re: An appliance dealer bought an answering machine at a wholesale [#permalink]
NandishSS wrote:
An appliance dealer bought an answering machine at a wholesale price of $90 and then sold it at a 10 percent discount off the retail price. If the dealer made a 20 percent profit on the wholesale price, what was the retail price of the answering machine?

A) $99
B) $108
C) $110
D) $117
E) $120


WP = $90
Sale @ 90% of retail price (RP)

$90x1.2=0.9RP
RP=120

Answer: E
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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink]
Expert Reply
NandishSS wrote:
An appliance dealer bought an answering machine at a wholesale price of $90 and then sold it at a 10 percent discount off the retail price. If the dealer made a 20 percent profit on the wholesale price, what was the retail price of the answering machine?

A) $99
B) $108
C) $110
D) $117
E) $120


Merging topics. Please refer to the discussion above.
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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink]
Expert Reply
AmoyV wrote:
NandishSS wrote:
An appliance dealer bought an answering machine at a wholesale price of $90 and then sold it at a 10 percent discount off the retail price. If the dealer made a 20 percent profit on the wholesale price, what was the retail price of the answering machine?

A) $99
B) $108
C) $110
D) $117
E) $120


WP = $90
Sale @ 90% of retail price (RP)

$90x1.2=0.9RP
RP=120

Answer: E


I believe you meant C.
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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink]
monirjewel wrote:
A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?

(A) 81
(B) 100
(C) 120
(D) 135
(E) 160


He made a profit of 20%. that means the machine was sold at 90*1.2= $108

This price is after 10% discount of retail price or 90% of the retail price

108= .90 P
P= 108/.9= 120

C is the answer
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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink]
Here =>
WP=90
let the retail price be x
=> SP=x(1-.1)=0.9x
Profit =20/100 * 90=18
hence SP=90+18=108
Now .9x=108=> x=120

Nice question ; here the concepts of WP,RP and SP are being tested.
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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink]
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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink]
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