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A merchant sells a radio for $80, thereby making a profit of 25% of

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Bunuel
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A merchant sells a radio for $80, thereby making a profit of 25% of [#permalink] New post   13 Feb 2018, 23:01
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A merchant sells a radio for $80, thereby making a profit of 25% of the cost. What is the ratio of cost to selling price?

(A) 4/5
(B) 3/4
(C) 5/6
(D) 2/3
(E) 3/5
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DavidTutorexamPAL
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Re: A merchant sells a radio for $80, thereby making a profit of 25% of [#permalink] New post   13 Feb 2018, 23:49
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Bunuel wrote:
A merchant sells a radio for $80, thereby making a profit of 25% of the cost. What is the ratio of cost to selling price?

(A) 4/5
(B) 3/4
(C) 5/6
(D) 2/3
(E) 3/5


As all we're asked for is the ratio, we won't bother calculating the exact number.
This is a Logical approach.

If the cost was 100% and after the sale a profit of 25% was made, then the selling price is 125%.
So our ratio is 100%/125% = 4/5.

(A) is our answer.
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Re: A merchant sells a radio for $80, thereby making a profit of 25% of [#permalink] New post   13 Feb 2018, 23:31
Cost of radio= 80*\(\frac{100}{125}\)= $64

Ratio of Cost to Selling Price= \(\frac{64}{80}\)= \(\frac{4}{5}\)

Answer: A.
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Re: A merchant sells a radio for $80, thereby making a profit of 25% of [#permalink] New post   14 Feb 2018, 07:37
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Bunuel wrote:
A merchant sells a radio for $80, thereby making a profit of 25% of the cost. What is the ratio of cost to selling price?

(A) 4/5
(B) 3/4
(C) 5/6
(D) 2/3
(E) 3/5


Let CP = 100 & SP = 125

So, ratio of cost to selling price = \(\frac{100}{125} = \frac{4}{5}\), Answer must be (A)
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Re: A merchant sells a radio for $80, thereby making a profit of 25% of [#permalink] New post   15 Feb 2018, 10:56
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Bunuel wrote:
A merchant sells a radio for $80, thereby making a profit of 25% of the cost. What is the ratio of cost to selling price?

(A) 4/5
(B) 3/4
(C) 5/6
(D) 2/3
(E) 3/5


We can create the following equation:

80 - c = 0.25c

80 = 1.25c

64 = c

The ratio of cost to selling price is 64/80 = 8/10 = 4/5.

Answer: A
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Re: A merchant sells a radio for $80, thereby making a profit of 25% of [#permalink] New post   05 Jun 2021, 10:07
(s-c)/c*100=25
divide by s
ans=4/5
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Re: A merchant sells a radio for $80, thereby making a profit of 25% of [#permalink] New post   06 Jun 2021, 01:28
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C.P. : 80

S.P. : \(80 * \frac{125}{100} = 100\)

Ratio: \(\frac{80}{100}= \frac{4}{5}\)

Answer A
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Re: A merchant sells a radio for $80, thereby making a profit of 25% of [#permalink] New post   10 Jun 2023, 08:47
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Re: A merchant sells a radio for $80, thereby making a profit of 25% of [#permalink]
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