Kate used a $30 %$ off coupon to purchase a sweater. If she paid $$ 33.60$ , what was the original price $?$

Open in App

Solution

Find the original price of the sweater:
Let the original price of the sweater be $x$ .
Since the rate of discount coupon was $30 %$ , find the discount given to Kate using the formula below:
$Discount = \frac{Original price \times rate of discount}{100}$
$\begin{array}{rcl} Discount & = & \frac{x \times 30}{100} \\ = & \frac{3 x}{10} \end{array}$
The price paid by the Kate is the difference of Original price and the discount given to her:
$x - \frac{3 x}{10} = \frac{10 x - 3 x}{10} = \frac{7 x}{10}$
Since the price paid by Kate was $$ 33.60$ , it follows that:
$\begin{array}{rcl} \frac{7 x}{10} & = & 33.60 \\ \Rightarrow & x = \frac{33.60 \times 10}{7} \\ = & 48 \end{array}$
Hence, the original price of the sweater was $$ 48 .$

Suggest Corrections

Similar questions

Jeanette purchased a concert ticket on a website. The original price of the ticket was $$ 75$ . She used a coupon code to receive a $20 %$ discount. The website applied a $10 %$ service fee to the discounted price. Jeanette’s ticket was less than the original price by what percent?

Q. Jacob bought 4 pairs of shoes from an online store. He got a

$ 24

discount when he applied for the coupon. The total price he paid after using the coupon was

$ 96

. What is the original price of each shoe?

In a sale, the price of a dress was reduced by 30%. If Lucky paid ₹38.50 for the dress, what was its original price?

Q. If there is a discount of

30 %

on a speaker and Mira gets another discount of

20 %

through her coupon, calculate the price paid by her to buy the speaker, if the original price is

$ 100

Casey paid $$ 32$ for a book that was on a sale at $20 %$ off. What was the original price for that book $?$

Join BYJU'S Learning Program

Kate used a 30% off coupon to purchase a sweater. If she paid $33.60, what was the original price ?

Kate used a $30 %$ off coupon to purchase a sweater. If she paid $$ 33.60$ , what was the original price $?$