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?
If the percentage discount is changed to a single percentage of 11\% by adding 5\%+6\% find the new discounted price.
Is the single discount of 11\% equal to successive discounts of 5\% and 6\%?
Find the single discount rate that is equivalent to successive discounts of 5\% and 6\%? Round your answer to one decimal place.
Shares which originally cost \$24 each, increase in value by 5\%, and 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?
Find the single percentage increase rate that is equivalent to the successive increases. 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 then receives a further 9\% trade discount on the reduced price.
What is the final cost of the set to a chef?
How much overall is saved in dollars?
Find the single percentage discount rate that is equivalent to the successive discounts. 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\%.
Wally is a bricklayer and buys a set of tools that cost \$1100 but are on sale at 11\% off, and then an additional store wide sale discount of 12\% applies to the items as well. Wally then receives a further 9\% trade discount.
What is the cost of the set of tools after the first discount is applied?
What is the cost of the set of tools after the additional store wide sale discount is applied?
What is the final cost of the set to the bricklayer?
Find the single percentage discount rate that is equivalent to the successive discounts. Round your answer to two decimal places.
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?
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.
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\%.
Calculate 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?
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 could have been.
Explain the relationship between the discount received from applying successive percentage discounts and the discount received if the individual percentages were added.
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\%
The price of a dress was reduced by 30\% and then again by 30\%.
After the first decrease, what percentage of the original price will the new price be?
After the second decrease, what percentage of the decreased price will the new price be?
What was the overall percentage decrease?
The overall percentage decrease when the price is reduced by 30\% twice is equal to 2 \times 30\%. True or false?
The price of a phone was increased by 40\% and then again by 40\%.
After the first increase, what percentage of the original price will the new price be?
After the second increase, what percentage of the increased price will the new price be?
What was the overall percentage increase?
The overall percentage increase when the price is increased by 40\% twice is equal to 2 \times 40\%. True or false?
For each of the following, determine the overall percentage decrease:
The price of a phone which was reduced by 25\% and then again by 25\%.
The price of a dress which was reduced by 63\% and then again by 63\%.
The price of a shirt which was reduced by 10\% and then increased by 10\%.
The price of a phone which was reduced by 75\% and then increased by 75\%.
The price of a shirt which was reduced by 46\% and then increased by 46\%.
The price of a dress which was increased by 20\% and then reduced by 20\%.
The price of a shirt which was increased by 50\% and then reduced by 50\%.
The price of a phone which was increased by 93\% and then reduced by 93\%.
For each of the following, determine the overall percentage increase:
The price of a phone which was increased by 75\% and then again by 75\%.
The price of a shirt which was increased by 97\% and then again by 97\%.
The price of a dress which was reduced by 20\% and then increased by 44\%.
The price of a dress which was increased by 19\% and then reduced by 14\%.
Rochelle is in charge of keeping everyone happy in her workplace, and seems to be doing a good job. The number of complaints submitted has decreased 6\% in the twelve months since she took over and she expects it to fall by another 10\% over the next year.
Express the amount of complaints submitted in the last twelve months as a percentage of the number of complaints submitted before she took over.
Express the amount of complaints she expects to see submitted in the next year as a percentage of the amount submitted in the previous twelve months.
Calculate the number of complaints expected over the next year as a percentage of the amount that were submitted before Rochelle took over.
Hence, find the total percentage decrease over the two years.
Maximilian is an American tourist having lunch in Sydney, and wants to leave a sizeable tip for his waiter. However, he also must pay the Goods & Services Tax (GST) on his meal.
If he wants to leave a 20\% tip and the GST is fixed at 10\%, express the total amount of money he will pay as a percentage of the pre-tax value of the meal.
What percentage have the GST and tip added to the amount paid for the meal?
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, find the percentage change over the two years.
Is this change an overall increase or decrease?
Bob has invested heavily in a certain company. One day it was reported that the company's factory was damaged by a fire and its share price fell by 40\%. However, when it was revealed the next day that the company had insurance and wouldn't be too badly affected, the shares recovered by 40\%.
Express the share price after the original announcement as a percentage of the previous day's price.
Express the share price after the insurance announcement as a percentage of the price after the original fire announcement.
Calculate the final share price as a percentage of the price before either announcement.
Hence, evaluate the percentage change over the two days.
Is this change an overall increase or decrease?
A dress is on sale for \$85.17 after a discount of 11\% and an additional discount of 13\%.
Complete the following statement:
\text{Sale price }= \text{ Original price } \times⬚ \times ⬚
Hence find the original selling price of the dress.
Shares in a company have a current value of \$82.84 after an initial increase of 9\% and then drop of 5\%.
Complete the following statement:
\text{Sale price }= \text{ Original price } \times⬚ \times ⬚What overall percentage increase is this equivalent to?
Find the original selling price of the shares. Round your answer to the nearest dollar.
A guitar is on sale for \$403.69 after a discount of 21\% and an additional discount of 27\%.
Complete the following statement:
\text{Sale price }= \text{ Original price } \times⬚ \times ⬚What overall percentage change is this equivalent to?
Find the original selling price of the guitar. Round your answer to the nearest dollar.
A kitchen appliance is selling for \$1136.64 after a mark-up of 28\% and then GST (11\%) was added to the price.
What overall percentage increase is this equivalent to?
What was the cost price of the item? Round your answer to the nearest dollar.
After discounting, a clothes dryer sold for \$855. Calculate the original price if the discount was:
20\%
20\% and 16\% successively
The population of a town is 64\,609 after two years of increasing at 2\% per year. Find the population of the town two years ago. Round up to the nearest person.