A company buys a sweater for $14 and marks it up 90%. It later discounts the sweater 25%.
A. Find the original selling price of the sweater.
B. How much was the discount?
C. Found the sale price after the discount.
D. The company's profit on the sweater can be found by subtracting the finial selling price minus the cost. What is the company's profit of the sweater?
E. The profit was what percent of the cost?
I got
A:$26.60
B:$6.65
C:$19.95
D:$5.95
E: ?
E= 26.60-14=12.60
5.95/14.00 * 100 = 42.5%
I was wondering how did you get 6.65 for b?
To solve this problem, let's break it down step by step:
Given information:
Cost price of the sweater = $14
Mark up percentage = 90%
Discount percentage = 25%
A. Find the original selling price of the sweater:
To find the original selling price, we need to add the mark up percentage to the cost price.
Mark up = (90/100) * $14 = $12.60
Original selling price = Cost price + Mark up = $14 + $12.60 = $26.60
B. How much was the discount?
The discount is given as a percentage, so we can find it by multiplying the original selling price by the discount percentage.
Discount = (25/100) * $26.60 = $6.65
C. Find the sale price after the discount:
The sale price after the discount can be calculated by subtracting the discount from the original selling price.
Sale price = Original selling price - Discount = $26.60 - $6.65 = $19.95
D. The company's profit on the sweater:
To find the company's profit, we need to subtract the cost price from the sale price after the discount.
Profit = Sale price - Cost price = $19.95 - $14 = $5.95
E. The profit was what percent of the cost?
To find the percentage profit, we need to calculate the percentage of the profit over the cost price.
Percentage profit = (Profit / Cost price) * 100 = ($5.95 / $14) * 100 = 42.5%
Therefore:
A. The original selling price of the sweater is $26.60.
B. The discount on the sweater is $6.65.
C. The sale price after the discount is $19.95.
D. The company's profit on the sweater is $5.95.
E. The profit was 42.5% of the cost.