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

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.

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nwogubruno16 nwogubruno16 · Answer 2 · 2019-12-12T04:53:04+01:00

Answer:

The original Price was 8.5

Step-by-step 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%)