49,749 views
40 votes
40 votes
Goran bought a sofa on sale for $172.80. This price was 36% of the original price.

What was the original price?

User Dmatej
by
2.1k points

2 Answers

17 votes
17 votes

Answer:

$270

Explanation:

So Big G gets a great deal on a sofa...$172.80...the original price has to be higher, right? He (? She?) got 36% off...This means that they DID NOT pay 36%, but they DID pay 64% (bc 36 + 64 = 100%)

SO, you need to change percents to decimals to work with them in an equation. Let p be the original price. Original price times 64% will equal the sale price.

.64p = 172.80

DIVIDE BY .64

p = 270

You can check it using the 36% ---

270 × .36 = 97.2

The discount is $97.20

270 - 97.20 = 172.80✅

The original price for Goran's sofa was $270.00

User Ditn
by
2.6k points
12 votes
12 votes
36% in decimal from it .36
172.80 + .36 = 173.16
So original price was 173.16
User Omar Shehata
by
2.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.