Find 30\% of 1500 and add your answer to the original amount of 1500.
Calculate 130\% of 1500.
Are your answers to (a) and (b) the same? Explain why this is.
What percentage should a quantity be multiplied by in order to increase the quantity by:
What decimal should a quantity be multiplied by in order to increase the quantity by:
Increase:
Find 12\% of 1800 and subtract your answer from the original amount of 1800.
Calculate 88\% of 1800.
Are your answers to (a) and (b) the same? Explain why this is.
What percentage should a quantity be multiplied by in order to decrease the quantity by:
What decimal should a quantity be multiplied by in order to increase the quantity by:
Decrease:
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 bag of potatoes weighs 50\text{ kg}. When more potatoes are added, the weight of the bag increases by 35\% find the new weight of the bag of potatoes.
A bag of rice weighs 100\text{ kg}. When some rice is poured out, the weight of the bag decreases by 30\%. Find the new weight of the bag of rice.
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.
Steph is going to buy a dress that is marked as 75\% off. The original price was \$36.
What is the value of the discount?
What is the price that Steph will pay for the dress?
A tennis racket marked at a price of \$90 is advertised to be selling at 45\% off the marked price. Find the discounted price.
Christa is going to buy an eraser from a stationery store that is having a storewide 10\% off sale. The original price of the eraser was \$6.
What is the value of the discount?
What is the price that Christa will pay for the eraser?
Andrew is going to buy a jumper that is marked as 30\% off. The original price was \$40.
What is the value of the discount?
What is the price that Andrew will pay for the jumper?
Edward is going to buy a scarf that is marked at 25\% off. The original price is \$26.
What is the value of the discount?
What is the price that Edward will pay for the scarf?
A music store advertises 15\% off all CDs and DVDs. A CD is normally priced at \$16.
Find the amount of the discount on this CD.
Find the discounted price of the CD.
A holiday resort in Tasmania reduced its overnight rates from \$232 to \$120.
Find the value of the discount.
Find the percentage discount on the original price to two decimal places.
A sled sells for \$300 but is now on sale for \$255.
By how much has the price of the sled been decreased?
Hence, find the percentage discount on the sled.
Two book sellers advertised a sale:
-
Honest Anne offered 20\% off the original price of her books.
Fair Freddie offered up to 50\% off the original price of his books.
Fiona bought books from Honest Anne. The total original price of her books was \$130. Find the value of the discount she received?
How much did Fiona pay Honest Anne for the books?
At Fair Freddie's, Sarah bought the same books as Fiona at the same original price. She was given 10\% off on the first \$100 worth of books, and 50\% off for the remainder of the original price.
Find the total discount Sarah received on her purchase.
What amount did Sarah pay Fair Freddie for the books?
Who paid the cheapest price: Fiona or Sarah?
Megamart Shoes is having a "choose your own discount" sale. When you buy two pairs of shoes you can choose either of the discount options below.
Option 1: 18\% off each pair.
Option 2: 40\%off the cheaper pair.
If you are buying two pairs of shoes, one priced at \$68 and the other \$112, which discount option is better?
A clothing store works on a markup of 65\%. What would the store charge their customers for the following items:
A dress with a cost price of \$22
A jumper with a cost price of \$15
Pants with a cost price of \$30
A coat with a cost price of \$38
A laptop is originally priced at \$700. Successive discounts of 12\% and 4\% are applied to the cost of the laptop.
Find the final price of the laptop.
Find the total discount received.
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.
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\%
Shares which originally cost \$24 each increase in value by 5\%, then they increase again by 9\%.
What is the cost of the shares after the first increase?
What is the cost of the shares after the second increase?
By how much has the share price increased overall?
What overall percentage increase is this equivalent to? Round your answer to two decimal places.
A set of professional knives for chefs originally cost \$1900 and is now on sale at 20\% off. A chef receives a further 9\% trade discount.
What is the final cost of the set to a chef?
How much overall would be saved in comparison to the original price?
What overall percentage discount is this equivalent to? Round your answer to two decimal places.
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\%.
The price of a heater selling for \$234 is initially discounted by 14\% and later marked up by 14\%. What is the final sales price?
The Run4Fun charity race is increasing in popularity. A year ago 60\,000 people registered to run, and this number is expected to increase by 6\% this year and then by another 8\% next year. How many people are expected to run next year?
Quentin wants to buy a jacket that is originally priced at \$220 and is on sale at 14\% off. The jacket is then further discounted by 18\%.
What is the final selling price of the jacket?
What overall percentage discount is this equivalent to? Round your answer to two decimal places.
Quentin believes that if the discounts are applied in the reverse order (that is the 18\% discount first and then the 14\% discount) he will save more money. Is he correct? Explain your answer.
A plumber buys bathroom fixtures for a job that cost \$1100 but are on sale at 15\% off. The plumber receives a further 13\% trade discount after the sale discount is taken off.
What is the final cost of the set to the plumber?
What overall percentage discount is this equivalent to? Round your answer to two decimal places.
The plumber was expecting to save \$308, explain what his misunderstanding must have been.
Is the overall percentage discount equivalent to discounts applied repeatedly always less than the sum of the individual percentage discounts?
The price of a shirt was reduced by 10\% and then increased by 10\%. What was the overall percentage decrease?
The price of a dress was reduced by 20\% and then increased by 44\%. What was the overall percentage increase?
A country's GDP (Gross Domestic Product) contracted by 4\% one year due to a drought, but then grew by 6\% the next year when the weather returned to normal.
Express the country's GDP during the drought as a percentage of the previous year's GDP.
Express the country's GDP in the year after the drought as a percentage of the drought affected GDP.
Calculate the new GDP as a percentage of the original.
Hence, evaluate the percentage change over the two years.
Is this change an overall increase or decrease?
The price of a laptop is increased by 10\%. Then later this new price is decreased by 10\%. Is the final price of the laptop the same as the original price? Explain your answer.