5.06 Discounts and markups
Calculate the sales price of an item which is sold at:
A discount of 18\% to its regular price of \$100.
A discount of \$95.64 to its regular price of \$546.59.
Steph is going to buy a dress that is marked as 25\% off. The original price was \$36.
Find the discount amount.
Find the discounted price that Steph will pay for the dress.
Duncan is going to buy a hat that is marked as 25\% off. The original price was \$30.
Find the discount amount.
Find the discounted price that Duncan will pay for the hat.
A store is having a 13\% off sale. Calculate the original price of a discounted item that is on sale for \$3723.75.
A game retailer sells new games at a markup of 33\% above the cost price and old games at a markup of 18\%. Calculate the selling price of:
The new Super Zora 5 game which has a cost price of \$90.
The old Super Zora 3 game which has a cost price of \$31.
A tennis racket marked at a price of \$90 is advertized to be selling at 45\% off the marked price. Find the discounted price.
A basket of goods was valued at \$43.70 in January 2011. The inflation rate for the year was 8\%. Find the expected cost of the basket of goods in January 2012?
A computer normally sells for \$3605.67, but is currently on sale. In each of the following scenarios, calculate the percentage discount. Round each answer to two decimal places.
The computer is discounted by \$325.80.
The computer is on sale for \$3222.37.
Very Cheap Auto car company is having a sale such that car prices are discounted by 10\%. If the original price of a car was \$12\,500, find the discounted price of the car.
A clothes dryer sold at a discount for \$855. Calculate the original price if the discount was:
20\%
20\% and 16\% successively
The price of a \$234 heater is discounted by 14\% and later marked up by 14\%. What is the final sales price?
A dining table selling for \$1000 is discounted at 5\% and then again at 6\%.
What is the price of the dining table after the first discount is applied?
What is the price of the dining table after the second discount is applied?
The percentage discount is changed by adding the previous percentages (5\%+6\%) to get 11\%. Find the new discounted price.
Is a single discount of 11\% equal to successive discounts of 5\% and 6\%?
What is the single discount rate that is equivalent to successive discounts of 5\% and 6\%? Give your answer as a percentage to one decimal place.
A PC originally sells at \$4700.
Calculate its sales price after successive discounts of 6\% and 9\%.
Calculate its sales price after successive discounts of 9\% and 6\%.
Does the order of discounting affect the sales price?
Calculate its sales price after successive discounts of 8\%, 7\% and 5\%.
Which offer gives the greater discount?
Offer 1: A single discount of 13\%
Offer 2: Successive discounts of 6\% and 11\%
Offer 1: A single discount of 16\%
Offer 2: Successive discounts of 5\% and 11\%