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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.

Re: A merchant discounted the sale price of a coat and the sale price of a [#permalink]

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26 Oct 2015, 09:13

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Bunuel 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.

Kudos for a correct solution.

(1) not sufficient; we dont't have dollar amounts (2) Sweter: P dollars, Coat P-10 clearly not sufficient, as no info about %of a discount (1+2) Still not sufficient Price could be 20$ or 1000000$ which will give us differnt results.... Answer (E)
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Re: A merchant discounted the sale price of a coat and the sale price of a [#permalink]

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27 Oct 2015, 01:43

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.

Kudos for a correct solution.

St 1 -> actual discount percent not given . Also price of two items not given ... Hence not possible to cal which article is given greater discount .

St 2 -> price of sweater =x price of coat = x - 10

not possible to calculate the which article is given greater discount .As actual prices and discount not given.

Together not possible also . Hence E
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A merchant discounted the sale price of a coat and the sale price of a [#permalink]

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13 Dec 2015, 02:06

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Let Pc and Ps, Dc and Ds be prices, percentage discounts for Coat and Sweater respectively.

So the question is Pc*Dc>Ps*Ds or Pc*Dc<Ps*Ds? It’s a clever question but if we get rid of all the verbiage it could be stripped down to: Is Pc*Dc>Ps*Ds St1) Dc>Ds St2) Pc<Ps Since two statements put together don’t give us a certain direction of inequality we cant answer the question. Ans E For details see below-

St1) Dc=Ds+2--> Pc*(Ds+2)>Ps*Ds? INSUF as we dont know the values of Pc and Ps. To be precise we need to know if Pc>Ps*Ds/(Ds+2)? St2) Pc=Ps-10 --> (Ps-10)*Dc>Ps*Ds? INSUF as we dont know the values of Dc and Ds. To be precise we need to know if Dc>Ds*Ps/(Ps-10)? St1+St2) since Dc=Ds+2 doesnt help us answer Dc>Ds*Ps/(Ps-10)? or Pc=Ps-10 doesnt help us answer if Pc>Ps*Ds/(Ds+2)? INSUF Ans E
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A merchant discounted the sale price of a coat and the sale price of a [#permalink]

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14 Feb 2016, 19:48

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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.

Statement 1 and 2 are clearly insufficient.

Combine both statement, we have

Price for coat = C Percent discount for coat = X

Price for sweater = C+2 Percent discount for sweater = X-2

So, the question asks whether \(\frac{(X-2)(C+10)}{100} > \frac{XC}{100}\)

Multiply both side by 100

\((X-2)(C+10) > XC\)

Simplify the equation, we get

Is \(10X > 2C + 20\) ?

Since it depends on 2 variables, we cannot conclude which of the two articles was discounted by greater dollar amount.

Re: A merchant discounted the sale price of a coat and the sale price of a [#permalink]

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11 Jun 2016, 23:55

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Bunuel 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.

Kudos for a correct solution.

Clearly both statements alone are insuff.. So needed to check 2 different values of sweater with very much difference for getting a quick answer. I will check for a price of $20 and another for $1000 for a given discount of 10% (check easy number for fast calculation) for sweater @ $20 discount is $2 thus price of coat is $10 less=$10 and discount is 12 %( as discount on the coat was 2 percentage points greater) of it is $1.2. discount amount of sweater > discount amount of Coat. similarly for a sweater price of $ 1000 will have a discount $100 And discount of coat is 12% of 990 =118..... discount amount of sweater < discount amount of Coat.

A merchant discounted the sale price of a coat and the sale price of a [#permalink]

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21 Jul 2017, 20:21

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.

The question is asking about the exact dollar amount

(1) The percent discount on the coat was 2 percentage points greater than the percent discount on the sweater. --- From percentage point different absolute value cannot be calculated. So clearly it's insufficient.

(2) Before the discounts, the sale price of the coat was $10 less than the sale price of the sweater. --- Here it doesn't specify any discount amount. So clearly it's insufficient.

(1) + (2) Generally discount is calculated on the cost price of the product. Cost price is unknown here. Besides, Let's say

Sc = 100 and Ss = 110 (according to statement-2) and Dc=12% and Ds=10% (according to statement-1) difference in dollar value = 110(1 - 10%) - 100 (1-12%) = 11

Sc = 100 and Ss = 110 (according to statement-2) and Dc=7% and Ds=5% (according to statement-1) difference in dollar value = 110(1 - 5%) - 100 (1-7%) = 11.5

Re: A merchant discounted the sale price of a coat and the sale price of a [#permalink]

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22 Jul 2017, 03:54

Bunuel 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.

Kudos for a correct solution.

Coat = C -> Discount by a% Sweater = S -> Discount by b% Is \(\frac{C*a}{100}\) > or < \(\frac{S*b}{100}\)?

1) x = y + 2 We do not know the price. Insufficient.

2) C = S - 10 We do not know the discount %. Insufficient.

1+2) x = y +2 C = S - 10 x = 10% and y = 8% C = 10, S = 20 \(\frac{S*b}{100}\) = 1.6 \(\frac{C*a}{100}\) = 1

But if x = 52%, y = 50% C = 1000, S = 1010 \(\frac{S*b}{100}\) = 505 \(\frac{C*a}{100}\) = 520

Re: A merchant discounted the sale price of a coat and the sale price of a [#permalink]

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01 Jan 2018, 07:40

c=s-10 x=y+2

case 1: c=90 s=100 x=4% y 2% discount on coat = 90*4%=3.6 discount on sweater = 100*2%=2

coat>sweater

case 2: c= 490 s =500 x=12% y=10% discount on coat = 490*12%=58.8 discount on sweater=500*10%=50 coat >sweater why am i getting same scenarios are there any constraints on taking the sample values?

case 1: c=90 s=100 x=4% y 2% discount on coat = 90*4%=3.6 discount on sweater = 100*2%=2

coat>sweater

case 2: c= 490 s =500 x=12% y=10% discount on coat = 490*12%=58.8 discount on sweater=500*10%=50 coat >sweater why am i getting same scenarios are there any constraints on taking the sample values?

Take scenarios where 10 is a big amount as compared to x and y.. say x = 5 and y =15... 4% 0f 5 = 0.2 and 2% of 15 = 0.3, so s>c.. similarly there will be many other values
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Re: A merchant discounted the sale price of a coat and the sale price of a [#permalink]

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01 Jan 2018, 08:30

chetan2u wrote:

Psk13 wrote:

c=s-10 x=y+2

case 1: c=90 s=100 x=4% y 2% discount on coat = 90*4%=3.6 discount on sweater = 100*2%=2

coat>sweater

case 2: c= 490 s =500 x=12% y=10% discount on coat = 490*12%=58.8 discount on sweater=500*10%=50 coat >sweater why am i getting same scenarios are there any constraints on taking the sample values?

Take scenarios where 10 is a big amount as compared to x and y.. say x = 5 and y =15... 4% 0f 5 = 0.2 and 2% of 15 = 0.3, so s>c.. similarly there will be many other values

can you please elaborate 10 is a big amount compared to x & Y ??? I DID NOT UNDERSTAND THIS