if a sweater is 34.15 and the markdown on the sweater is 45 percent what was the original cost of the sweater
100 - 45 = 55
so the sweater is 55% of the original price
c = 34.15 / .55
To find the original cost of the sweater, you can follow these steps:
Step 1: Calculate the markdown amount.
Markdown amount = Original cost * Markdown percentage
Step 2: Subtract the markdown amount from the sale price.
Original cost = Sale price + Markdown amount
Given that the sale price is $34.15 and the markdown percentage is 45%, we can proceed with the calculations:
Step 1: Calculate the markdown amount.
Markdown amount = $34.15 * 0.45
= $15.3675
Step 2: Subtract the markdown amount from the sale price.
Original cost = $34.15 + $15.3675
= $49.5175
Therefore, the original cost of the sweater was $49.5175.
To find the original cost of the sweater, you can use the formula:
Original Cost = Markdown Price / (1 - Markdown Percentage)
In this case, the markdown price is $34.15 and the markdown percentage is 45%.
Step 1: Convert the markdown percentage to decimal form.
45% = 45/100 = 0.45
Step 2: Use the formula to find the original cost.
Original Cost = $34.15 / (1 - 0.45)
Step 3: Calculate the original cost.
Original Cost = $34.15 / 0.55
Original Cost ≈ $62.09
Therefore, the original cost of the sweater was approximately $62.09.