Store N gives a 50 percent discount on the list price of

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

Store N gives a 50 percent discount on the list price of

by BTGmoderatorDC » Wed Dec 25, 2019 5:44 pm

Store N gives a 50 percent discount on the list price of all its items and Store W gives a 60 percent discount on the list price of all its items. If the list price of the same item is 20 percent higher in Store W, what percent (more or less) of the selling price in Store N is the selling price of the item in Store W ?

A. 10% less
B. 4% less
C. 2% less
D. 10% more
E. 12% more

OA B

Source: Official Guide

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Source: Beat The GMAT — Problem Solving | Wed Dec 25, 2019 5:44 pm

SampathKp: Senior | Next Rank: 100 Posts; Posts: 62; Joined: Wed Nov 13, 2019 9:42 pm

by SampathKp » Thu Dec 26, 2019 2:39 am

BTGmoderatorDC wrote:Store N gives a 50 percent discount on the list price of all its items and Store W gives a 60 percent discount on the list price of all its items. If the list price of the same item is 20 percent higher in Store W, what percent (more or less) of the selling price in Store N is the selling price of the item in Store W ?

A. 10% less
B. 4% less
C. 2% less
D. 10% more
E. 12% more

From the Given information.

Let the List Price of the same item be $100 in Store N. So the List price of same item will be $120 in Store W (20% more than Store N)

The Selling price of the item will be $ 50 in Store N (50% discount on $100) and $ 48 in Store W (60% discount on $120)

So the selling price of item is 4% less in Store W to Selling Price of Item in Store N ((48-50/50)*100)

Answer is B

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Sat Dec 28, 2019 8:10 pm

BTGmoderatorDC wrote:Store N gives a 50 percent discount on the list price of all its items and Store W gives a 60 percent discount on the list price of all its items. If the list price of the same item is 20 percent higher in Store W, what percent (more or less) of the selling price in Store N is the selling price of the item in Store W ?

A. 10% less
B. 4% less
C. 2% less
D. 10% more
E. 12% more

OA B

Source: Official Guide

We can let the list price of the item in store N = 100; thus, the list price of the same item in store W = 120.

The selling (or discounted) price of the item in store N is 0.5 x 100 = 50, and the selling (or discounted) price of the same item in store W is 0.4 x 120 = 48. Therefore, the selling price in store W is (50 - 48)/50 x 100 = 2/50 x 100 =4 percent less than that in store N.

Answer: B

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