A wholesale dealer purchased two coats at the same price. One was sold

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 38
Joined: Sun Jul 19, 2020 3:22 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

A wholesale dealer purchased two coats at the same price. One was sold at a profit of 20% and the other was sold at a price which was $1520 less than the price at which the first one was sold. If the overall profit earned by selling both the coats was 1%, what was the cost price of one coat?

A. $3600

B. $4000

C. $4800

D. $5000

E. $5200

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members
Mikrislac wrote:
Sun Aug 02, 2020 4:03 pm
A wholesale dealer purchased two coats at the same price. One was sold at a profit of 20% and the other was sold at a price which was $1520 less than the price at which the first one was sold. If the overall profit earned by selling both the coats was 1%, what was the cost price of one coat?

A. $3600

B. $4000

C. $4800

D. $5000

E. $5200
Say the cost price of each coat was $x. So, cost price of both coats = $2x

Thus, the sale price of the first coat = 1.2x;
Thus, the sale price of the second coat = 12.x – 1,520

Sale price of both coats = 2.4x – 1,520

Percent profit = [{(2.4x – 1,520) – 2x}/2x]100% = 1%

Upon solving, we get x = $4,000

Correct answer: B

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: GMAT Prep Denver | SAT Prep Miami | GMAT Prep Europe | TOEFL Prep Los Angeles | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.