A store has a 25 % off sale on coats. With this discount, a price of one coat is $34.50 dollars. what is the original price of the coat. If the store upgrade the discount to 30% how much is the discount?
Given:
25% discount
Price after the discount = $34.50
Required:
Original price
Discount at 30% of the original price
Solution:
The original price is 100% of the cost. If you are discounted by 25% , then only 75% of the cost will be charged to you. Therefore, the price after the discount can be calculated by
Price after the discount = Original Price ( 100% dicount %) = Original Price ( 100-25) % = 75% of the Original Price
The Price after discount is $34.50
$34.50 = 75% X Original Price
(75% is 0.75 if converted to decimal)
$34.50 = 0.75 x Original Price
Original Price = $34.50 / 0.75
Original Price = $46
To calculate the amount of discount at 30% , we will just have to multiply the original amount by 30%. To carry out the multiplication of percentages , always remember to convert the % first to decimal just like what we did on the first part. 30% is equivalent to 0.3 ( we divide by 100 in converting the %)
so the discount amount = 0.3 x Original Price = 0.3 x 46 = $13.8