Percentages practice problems
Percentages are a way to express a number as a fraction of 100. They are often used to express a proportion or rate, such as a percentage of total sales or a percentage increase or decrease in a value. For example, if a product sells 25 out of 100 units, the percentage of units sold is 25%, which can also be written as 0.25 or 25/100.Percentage points, also known as percentage point change or "pp" for short, is the difference between two percentages. It is often used to express the change in a variable over time or between two groups. For example, if a company's profits increased from 10% to 20% over a year, the percentage point change would be 10 percentage points (20% - 10% = 10%).
Number of problems found: 2019
- Single discount from three
Find a single discount equivalent to successive discount of 10%, 20%, and then 20%. - Compound vs simple interest
Calculate the difference between the compound interest and simple interest on 7500 USD in two years and at 8% per annum. - Two discounts 2
A shirt that has printed price EUR 150, is sold at EUR 105 after two successive discounts. If the second discount is 12.5% then find the first discount. - Two numbers 18
Two numbers are respectively 10% and 25% more than a third number. What percent is the first of the second?
- The price 8
The price of a commodity has decreased by 10%. Percentage by which it should then be increased to get the original price? - Per annum
In a certain time, a sum becomes 4 times at the rate of 5% per annum. At what rate of simple interest, the same sum becomes 8 times in the same duration - The expenses
The expenses on rice, fish and oil of a family are in the ratio 12:17:3.The prices of these articles are increased by 20%, 30% and 50% respectively. Find the total increased percent. - One half of percent
How is 1/2% expressed as a decimal fraction? - Cost price 2
If the cost price of 23 toys is equal to the selling price of 20 toys, find the gain or loss percent.
- Person A,B
Person A takes 3000 USD from person B for 2 yrs at the rate of 10% half yearly interest. What amount will be paid by person A to B after the end 2 yr? - Profit chain
If the manufacturer gains 10%, the wholesale dealer 15%, and the retailer 25%, then what is the production cost of a washing machine whose retail price is 1000 euros? - Income comparing
Arnold's income is 60% more than that of Brandy. By what percent is Brandy's income less than Arnolds's? - The population 3
The population of the town is 126800. It increases by 15% in the first year and decreases by 20% in the second year. What is the population of the town at the end of 2nd year? - Single discount
Find the single discount equivalent to two successive discounts of 20% and 10%.
- Tax info
The tax-free price of the jacket is €150 and the VAT rate is 24%. Calculate the VAT and Taxable price. - The mixture
If a 6-liter solution with a concentration of 20% alcohol is mixed with a 4-liter solution with a 60% concentration of alcohol. Find the percentage of alcohol in the mixture. - An expensive watch
A watch when sold at a profit of 6% yields $ 870 more than when it is sold at a loss of 6% . Find the cost price of the watch. - Profit percentage
The ratio of cost price to selling price is 20: 21. What is the profit percentage? - Bell curve
A company has a policy of retiring company cars; this policy looks at the number of miles driven, purpose of trips, style of car, and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean o
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