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Re: For a sale, the original retail price of a particular shirt and the [#permalink]
Bunuel niks18 chetan2u amanvermagmat gmatbusters

Quote:
For a sale, the original retail price of a particular shirt and the original retail price of a particular hat were both reduced by 20 percent. The sale price of the hat is how many dollars more than the sale price of the shirt?

(1) The original retail price of the hat was 10 dollars more than the original retail price of the shirt.

(2) The original retail price of the hat was 50 percent greater than the original retail price of the shirt.


How about this approach?
retail price of shirt : x
retail price of hat : y

sales price of shirt : 0.8x
sales price of hat : 0.8y
Q: 0.8y- 0.8x = ?
Or
y-x =?

St 1:
y = x +10
or
y-x =10 Suff.

St 2:
y = 1.5x or y/x = 1.5
Not suff.
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Re: For a sale, the original retail price of a particular shirt and the [#permalink]
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Expert Reply
Hii

Your approach is perfectly fine.

But in general, it is easier to handle single variables.

adkikani wrote:
Bunuel niks18 chetan2u amanvermagmat gmatbusters

Quote:
For a sale, the original retail price of a particular shirt and the original retail price of a particular hat were both reduced by 20 percent. The sale price of the hat is how many dollars more than the sale price of the shirt?

(1) The original retail price of the hat was 10 dollars more than the original retail price of the shirt.

(2) The original retail price of the hat was 50 percent greater than the original retail price of the shirt.


How about this approach?
retail price of shirt : x
retail price of hat : y

sales price of shirt : 0.8x
sales price of hat : 0.8y
Q: 0.8y- 0.8x = ?
Or
y-x =?

St 1:
y = x +10
or
y-x =10 Suff.

St 2:
y = 1.5x or y/x = 1.5
Not suff.


Posted from my mobile device
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Re: For a sale, the original retail price of a particular shirt and the [#permalink]
1
Kudos
adkikani wrote:
Bunuel niks18 chetan2u amanvermagmat gmatbusters

Quote:
For a sale, the original retail price of a particular shirt and the original retail price of a particular hat were both reduced by 20 percent. The sale price of the hat is how many dollars more than the sale price of the shirt?

(1) The original retail price of the hat was 10 dollars more than the original retail price of the shirt.

(2) The original retail price of the hat was 50 percent greater than the original retail price of the shirt.


How about this approach?
retail price of shirt : x
retail price of hat : y

sales price of shirt : 0.8x
sales price of hat : 0.8y
Q: 0.8y- 0.8x = ?
Or
y-x =?

St 1:
y = x +10
or
y-x =10 Suff.

St 2:
y = 1.5x or y/x = 1.5
Not suff.


Hi adkikani

I hope you have not deliberately omitted 0.8 in the highlighted equation because if this were a PS question, then had to calculate 0.8*(y-x)
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Re: For a sale, the original retail price of a particular shirt and the [#permalink]
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niks18

Quote:
I hope you have not deliberately omitted 0.8 in the highlighted equation because if this were a PS question, then had to calculate 0.8*(y-x)


Your eyesight is indeed as sharp as a hawk and it is hard for mistake to escape from it. :cool:
I agree with your view, but since this is a DS question and 0.8 is a constant, all I care
about is y-x.
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Re: For a sale, the original retail price of a particular shirt and the [#permalink]
Expert Reply
...and I was wondering that you dropped it intentionally. Actually I always drop the value redundant to the solutions required.


adkikani wrote:
niks18

Quote:
I hope you have not deliberately omitted 0.8 in the highlighted equation because if this were a PS question, then had to calculate 0.8*(y-x)


Your eyesight is indeed as sharp as a hawk and it is hard for mistake to escape from it. :cool:
I agree with your view, but since this is a DS question and 0.8 is a constant, all I care
about is y-x.
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Re: For a sale, the original retail price of a particular shirt and the [#permalink]
We need to know the dollar amount in difference in sale price of hat and shirt

Known information: The price of both the Hat and Shirt is reduced by 20%, so this is consistent.

(1) The original retail price of the hat was 10 dollars more than the original retail price of the shirt.

The price of hat is 10 dollars more than the shirt. After 20% reduction, this difference becomes 8. This number is going to be constant and it wont change. So option A is sufficient.

(2) The original retail price of the hat was 50 percent greater than the original retail price of the shirt.
The 50% difference can be any number and will change based on the retail price of hat and shirt. Option B not sufficient

Ans: A
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Re: For a sale, the original retail price of a particular shirt and the [#permalink]
Bunuel wrote:
For a sale, the original retail price of a particular shirt and the original retail price of a particular hat were both reduced by 20 percent. The sale price of the hat is how many dollars more than the sale price of the shirt?

(1) The original retail price of the hat was 10 dollars more than the original retail price of the shirt.

(2) The original retail price of the hat was 50 percent greater than the original retail price of the shirt.


Kudos for a correct solution.



abhimahna Why is statement 2 not sufficient?
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Re: For a sale, the original retail price of a particular shirt and the [#permalink]
Given H- 20 % , S -20 %
Que : H - S= X Dollars?

1. S = S , H = S + 10 , 0.8 S & 0.8 (S + 10)

0.8 (S+10) - 0.8 S = 8
SUFFICIENT
2. S = S, H = 1.5S , 0.8 S & 0.8 (1.5S)
0.8 (1.5 S) - 0.8S = 0.4 S
NOT SUFFICIENT
HENCE A IS ANSWER
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Re: For a sale, the original retail price of a particular shirt and the [#permalink]
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Re: For a sale, the original retail price of a particular shirt and the [#permalink]
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