After receiving a 25% discount, Amanda pays $240 for a TV.

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 am; Followed by:3 members

After receiving a 25% discount, Amanda pays $240 for a TV.

by VJesus12 » Sat Aug 25, 2018 2:09 am

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After receiving a 25% discount, Amanda pays $240 for a TV. How much would the TV cost without the discount?

A. $180
B. $300
C. $320
D. $360
E. $400

The OA is the option C.

What is the equation that I should use here to get an answer? Could anyone give me some help? Please.

Source: Veritas Prep

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Source: Beat The GMAT — Problem Solving | Sat Aug 25, 2018 2:09 am

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Sat Aug 25, 2018 5:17 am

VJesus12 wrote:After receiving a 25% discount, Amanda pays $240 for a TV. How much would the TV cost without the discount?

A. $180
B. $300
C. $320
D. $360
E. $400

Let x = the original price (BEFORE the discount)

If Amanda received a 25% discount, then she paid 75% of the original price.
In other words, she paid 75% of x
We're told she paid $240, so we can write: 75% of x = $240
Or we can write: 0.75x = 240

ASIDE: One approach here is to divide both sides by 0.75, but this can be a pain for many students.
Another option is to convert 0.75 to a fraction, and then go from there.
Here's what I mean.
We get: (3/4)x = 240
Multiply both sides by 4/3 to get: (4/3)(3/4)x = (4/3)240
Simplify: x = 320

Answer: C

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Sat Aug 25, 2018 5:20 am

VJesus12 wrote:After receiving a 25% discount, Amanda pays $240 for a TV. How much would the TV cost without the discount?

A. $180
B. $300
C. $320
D. $360
E. $400

Another approach is to TEST THE ANSWER CHOICES....

If Amanda received a 25% discount, then she paid 75% of the original price.
In other words, she paid 3/4 of the original price.
We're told she paid $240, so we'll check the answer choices to see which one yields an output of $240 when we find 3/4 of that value.

C) $320
3/4 of 324 = (3/4)(320) = $240
Perfect!!!

Answer: C

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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GMAT/MBA Expert

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 Apr 13, 2019 6:08 pm

VJesus12 wrote:After receiving a 25% discount, Amanda pays $240 for a TV. How much would the TV cost without the discount?

A. $180
B. $300
C. $320
D. $360
E. $400

The OA is the option C.

What is the equation that I should use here to get an answer? Could anyone give me some help? Please.

Source: Veritas Prep