For a sale, the original retail price of a particular shirt and the

Question

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.

peachfuzz · Answer

Reworded (8/10)(h-s )

Statement 1 :
h= s + 10
( 8 / 10 ) ( s + 10-s )
Sufficient

Statement 2 :
h= ( 15 / 10 ) ( s )
( 8 / 10 ) ( ( 15 / 10 ) s - s )
We are still left with an unknown value of s
Insufficient

Answer : A

Bunuel · Answer

MAGOOSH OFFICIAL SOLUTION: saleprices_text.PNG

adkikani · Answer

Bunuel   niks18   chetan2u   amanvermagmat   gmatbusters

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.

GMATBusters · Answer

Hii

Your approach is perfectly fine.

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

Posted from my mobile device

niks18 · Answer

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)

adkikani · Answer

niks18 Your eyesight is indeed as sharp as a hawk and it is hard for mistake to escape from it.

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.

GMATBusters · Answer

...and I was wondering that you dropped it intentionally. Actually I always drop the value redundant to the solutions required.

akadiyan · Answer

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

shivamtibrewala · Answer

abhimahna  Why is statement 2 not sufficient?

MSIMBA · Answer

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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For a sale, the original retail price of a particular shirt and the

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