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# A merchant discounted the sale price of a coat and the sale price of

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VP
Joined: 03 Apr 2007
Posts: 1223
A merchant discounted the sale price of a coat and the sale price of  [#permalink]

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Updated on: 05 Oct 2017, 05:14
2
13
00:00

Difficulty:

45% (medium)

Question Stats:

63% (00:57) correct 37% (00:48) wrong based on 249 sessions

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A merchant discounted the sale price of a coat and the sale price of a sweater. Which of the two articles of clothing was discounted by the greater dollar amount?

(1) The percent discount on the coat was 2 percentage points greater than the percent discount on the sweater.
(2) Before the discounts, the sale price of the coat was \$10 less than the sale price of the sweater.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/a-merchant-d ... 07699.html

Originally posted by goalsnr on 10 Jun 2008, 18:38.
Last edited by Bunuel on 05 Oct 2017, 05:14, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
Director
Joined: 27 May 2008
Posts: 530
Re: A merchant discounted the sale price of a coat and the sale price of  [#permalink]

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10 Jun 2008, 21:57
4
A, B and D are out.

between C and E, I did some algebra,

The sale price before discount is C and S and % discounts are x and y for Coat and Sweater.

from statement 1, x-y = 2
from statement 2 C+10=S

discount amount on coat = Cx/100
discount amount on sweater = Sy/100 = (C+10)y/100

We have to find out whether difference in these two amounts in -ve or +ve.

Difference = Cx/100 - (C+10)y/100
= (C(x-y) - 10y)/100
= (2C - 10y)/100 ---------------- x-y = 2

So it depends on numeric values of C and y, Not given. Both statements are insuff. Option E.
Manager
Joined: 24 Apr 2008
Posts: 157
Re: A merchant discounted the sale price of a coat and the sale price of  [#permalink]

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11 Jun 2008, 06:29
Me too with E

S: X X+10
D%: P+2 P
D: (P+2)X/100 P(X+10)/100

---> depends on which one is greater X or 5P

thus insuffi
Intern
Joined: 08 Nov 2008
Posts: 29
Re: A merchant discounted the sale price of a coat and the sale price of  [#permalink]

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08 Nov 2008, 21:18
A merchant discounted the sale price of a coat and the sale price of a sweater. Which of the two articles of clothing was discounted by the greater dollar amount?
(1) The percent discount on the coat was 2 percentage points greater than the percent discount on the sweater.
(2) Before the discounts, the sale price of the coat was \$10 less than the sale price of the sweater.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Intern
Joined: 30 Oct 2008
Posts: 30
Re: A merchant discounted the sale price of a coat and the sale price of  [#permalink]

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09 Nov 2008, 04:45
E.

Consider the price of sweater be x. And let the discount on sweater be p percent.

From 1: Discount on coat will be p+2 percent. Unless we know price of sweater and/or coat, we cannot not decide the discount. Not sufficient.
From 2: Price of coat = x-10 which not of much help. Not sufficient.

From 1&2: Discounted amount for sweater = p*x
Discounted amount for coat = (p+2)(x-10) = px + 2x - 10p - 20. To decide which discounted price is greater, the expression (2x -10p -20) needs to be evaluated, which cannot be done with given info.

Whats OA?
Intern
Joined: 26 Dec 2015
Posts: 3
Re: A merchant discounted the sale price of a coat and the sale price of  [#permalink]

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13 Feb 2016, 19:53
Could you all show calculation in detail for this problem
Intern
Joined: 17 Dec 2015
Posts: 41
Re: A merchant discounted the sale price of a coat and the sale price of  [#permalink]

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13 Feb 2016, 22:43
4
A merchant discounted the sale price of a coat and the sale price of a sweater. Which of the two articles of clothing was discounted by the greater dollar amount?

(1) The percent discount on the coat was 2 percentage points greater than the percent discount on the sweater.
(2) Before the discounts, the sale price of the coat was \$10 less than the sale price of the sweater.

Solution : In this question, we have to find 4 different values
Sp of coat, discount on coat, sp of sweater, and discount on sweater.
Statement 1 : we get d as the discount % on sweater, so for coat=d+2 %
but we don't have any idea about SP, so insuff.
Statement 2 : we know the SP of the coats and sweater as S-10 and S respectively but we don't know the discounts. So insuff.
Combining both 1 and 2
we get whether D % of S is > or = or < to D+2 % of S-10
Put random values and you will get both greater than and less than values
so both statements are insuff. Answer is E
(no calculations are required actually, count the no of variables only)
Hit kudos if you like the solution.
Intern
Joined: 01 Jan 2017
Posts: 1
Re: A merchant discounted the sale price of a coat and the sale price of  [#permalink]

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29 Mar 2017, 23:05
Ok selling price of coat is A
Selling price is sweater is B
Discount % on coat is x
Discount % on sweater is y

Now x + 2 = y
And A = B - 10

Dollar amount discount on coat
A - x/100 *A
(B-10) - (y-2)/100* (B-10)

Dollar amount discount on sweater
B - y/100*B

So looking at this shouldn't C be right answer?? What did I miss?

Posted from my mobile device
Math Expert
Joined: 02 Sep 2009
Posts: 49272
Re: A merchant discounted the sale price of a coat and the sale price of  [#permalink]

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05 Oct 2017, 05:15
1
goalsnr wrote:
A merchant discounted the sale price of a coat and the sale price of a sweater. Which of the two articles of clothing was discounted by the greater dollar amount?

(1) The percent discount on the coat was 2 percentage points greater than the percent discount on the sweater.
(2) Before the discounts, the sale price of the coat was \$10 less than the sale price of the sweater.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/a-merchant-d ... 07699.html
_________________
Re: A merchant discounted the sale price of a coat and the sale price of &nbs [#permalink] 05 Oct 2017, 05:15
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# A merchant discounted the sale price of a coat and the sale price of

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