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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
Joined: 02 Sep 2009
Posts: 58401
The selling price of 15 items equals the cost of 20 items. What is the  [#permalink]

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10 Apr 2019, 23:34
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Difficulty:

15% (low)

Question Stats:

91% (01:05) correct 9% (00:42) wrong based on 22 sessions

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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

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VP
Joined: 31 Oct 2013
Posts: 1464
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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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.
Manager
Joined: 01 May 2017
Posts: 82
Location: India
Re: The selling price of 15 items equals the cost of 20 items. What is the  [#permalink]

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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
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5008
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The selling price of 15 items equals the cost of 20 items. What is the  [#permalink]

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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
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9705
Location: Pune, India
Re: The selling price of 15 items equals the cost of 20 items. What is the  [#permalink]

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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%

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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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