Question

SALE 20% off

original price!
Lamar buys a gold ring during the sale. If Lamar pays $216, what was the original price?
Submit

Answer 1

• $270

Explanation:

Original price is x, then the sale price is:

• x - 20% =
• x - 0.2x =
• 0.8x

If 0.8x is 216, then x is:

• x = 216/0.8
• x = 270

Answer 2

$270

Explanation:

Let x be the original price of the ring.

If the ring has been discounted by 20%, then it is now 80% of its original price, since 100% - 20% = 80%.

`\implies 80\% \textsf{ of }x = \$216`

`\implies (80)/(100)x = 216`

Multiply both sides by 100:

`\implies (80x)/(100) \cdot 100=216 \cdot 100`

`\implies 80x=21600`

Divide both sides by 80:

`\implies (80x)/(80)=(21600)/(80)`

`\implies x=270`

Therefore, the original price of the ring was $270.