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

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

by BTGModeratorVI » Sun Sep 27, 2020 7:00 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

Answer: C
Source: Veritas Prep
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Re: After receiving a 25% discount, Amanda pays $240 for a TV. How much would the TV cost without the discount?

by Brent@GMATPrepNow » Sat Oct 03, 2020 6:21 am
BTGModeratorVI wrote: ↑
Sun Sep 27, 2020 7:00 am
 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

Answer: C
Source: Veritas Prep
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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