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The selling price of 15 items equals the cost of 20 items. What is the

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Math Expert
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Joined: 02 Sep 2009
Posts: 54440
The selling price of 15 items equals the cost of 20 items. What is the  [#permalink]

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New post 10 Apr 2019, 23:34
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

100% (00:58) correct 0% (00:00) wrong based on 13 sessions

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VP
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Joined: 31 Oct 2013
Posts: 1323
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: The selling price of 15 items equals the cost of 20 items. What is the  [#permalink]

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New post 11 Apr 2019, 00:06
Bunuel wrote:
The selling price of 15 items equals the cost of 20 items. What is the percentage profit earned by the seller?

(A) 15
(B) 20
(C) 25
(D) 33.3
(E) 40



*** we are dealing with 15 items.

set the cost price per item.

let cost price per item be 1.

cp of 15 items = 15

sp of 15 items = cost price of 20 items.

therefore , sp of 15 items = 20

profit = 20 - 15 = 5.

required % = (5/15) *100 = 33.3.

D is the correct answer.
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Re: The selling price of 15 items equals the cost of 20 items. What is the  [#permalink]

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New post 11 Apr 2019, 00:35
The selling price of 15 items equals the cost of 20 items. What is the percentage profit earned by the seller?

(A) 15
(B) 20
(C) 25
(D) 33.3
(E) 40


Let 'x' be the Cost price(C.P)
Selling price = z

\(z = x*(1+y/100)\) ('y' be the profit percentage)

Given, 20*x = 15*z
implies \(20*x = 15*x*(1+y/100)\)
\(20/15 = 1+ y/100\)
\(4/3-1 = y/100\)
\(y = 33.3\)

Option D is correct
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Re: The selling price of 15 items equals the cost of 20 items. What is the  [#permalink]

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New post 11 Apr 2019, 01:44
Bunuel wrote:
The selling price of 15 items equals the cost of 20 items. What is the percentage profit earned by the seller?

(A) 15
(B) 20
(C) 25
(D) 33.3
(E) 40


given
SP *15 = CP * 20
LCM = 60
SP = 3 and CP = 4
so % profit ; 4-3/3 = 1/3 = 33.3%
IMO D
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Re: The selling price of 15 items equals the cost of 20 items. What is the  [#permalink]

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New post 11 Apr 2019, 03:38
Bunuel wrote:
The selling price of 15 items equals the cost of 20 items. What is the percentage profit earned by the seller?

(A) 15
(B) 20
(C) 25
(D) 33.3
(E) 40


Say cost of 20 items = $20

Selling price of 15 items = $20 which breaks even.
Profit is earned by the extra 5 items. Selling price of 5 items = 20/3

Profit % = [(20/3) / 20] * 100 = 33.33%

Answer (D)
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Re: The selling price of 15 items equals the cost of 20 items. What is the   [#permalink] 11 Apr 2019, 03:38
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