BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

The sale price of a certain jacket was \(15\) percent less than its original price, and the sale price of a certain shir

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pm
Thanked: 6 times
Followed by:5 members

The sale price of a certain jacket was \(15\) percent less than its original price, and the sale price of a certain shir

by Vincen » Wed Nov 18, 2020 10:28 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

The sale price of a certain jacket was \(15\) percent less than its original price, and the sale price of a certain shirt was \(10\) percent less than its original price. How much greater was the original price of the jacket than the original price of the shirt?

(1) The sale price of the jacket was \(\$83\) greater than the sale price of the shirt.
(2) The original price of the jacket was \(\$140.\)

Answer: C

Source: GMAT Prep
Top
Source: — Data Sufficiency |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

Re: The sale price of a certain jacket was \(15\) percent less than its original price, and the sale price of a certain

by deloitte247 » Fri Nov 20, 2020 4:48 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Let the original price of jacket = j
Let the original price of shirt = s
Sale price of jacket = 100% j - 15% of j = 85% j
Sale price of shirt = 100% s - 10% of s = 90% s
Target question: How much greater was the original price of the jacket than the original price of the shirt?

Statement 1: The sale price of the jacket was $8 greater than the sale price of the shirt.
i.e what is j-s?
85% j - 90% s = $83
0.85j - 0.9s = 83
The value of j and s is unknown; so, statement 1 is NOT SUFFICIENT.

Statement 2: The original price of the jacket was $140
j=140 and j-s = 140 - s
The value of s is unknown, so, statement 2 is NOT SUFFICIENT.

Combining both statements:
From statement 1: 0.85j - 0.9s = 83
From statement 2: j = 140
0.85 (140) - 0.9s = 83
119 - 0.9s = 83
0.9s = 36
s = 40
So, j - s = 140 - 40 = 100
Therefore, both statements combined are SUFFICIENT.
Answer = option C
Top
Post new topic Post Reply
• Page 1 of 1