Question

a store sold a case of scented candles for 17.85 that had been marked up 110% what is the original price

Answer 1

The original Price was 8.5

Explanation:

The formula for calculating % increase is

• (ΔPrice/Original price) × 100
• change in price (new price - original price)/original price) × 100

so let's identify what parameters we have

% increase = 110%

new price = 17.85

original price = X

so it becomes

• ((17.85 - X)/X) * 100 = 110%
• Opening brackets
• (17.85*100 - X*100)/ X =110
• 1785 - 100X = 110X (we balance the equation)
• (we collect like terms)
• 1785 = 210X
• to find X we divide both sides by 210
• 1785/210 = X

• 8.5

The original Price was 8.5

I hope i was clear enough?

(let's work with this figure to see if we would get that percentage

%increase = (Δprice/original price) × 100

ΔPrice = New price - Original price = 17.85 - 8.5 = 9.35

(9.35/8.5)×100 =

1.1 × 100 = 110%)

Answer 2

Here is the solution of the given problem above:
Given: 17.85 = price of the scented candles that had been marked up
110% = percentage of the mark up
? = original price
110% x 17.85 is 19.635.
19.635 - 17.85 so that would be 1.785.
17.85- 1.785 would be 16.605. Therefore, the original price would be 16.605. Hope this answer helps. Thanks for posting your question.