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: 2004
- 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 eur? - 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 a 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 liters solution with concentration of 20% alcohol is mixed in a 4 liters solution of 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 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 of 62
- The salary 4
The salary of a worker is first increased by 5% and then it is decreased by 5% . What is the change in his salary? - Johnny 3
Johnny has $46,754 in a savings account that earns 14% annually. The interest is not compounded. To the nearest dollar, how much interest will he earn in 3 years? - Error multiplication
In measuring the sides of a rectangle errors of 5% and 3% in excess are made. Find the error percent in the calculated area . - Roland 2
Roland sold his watch at 15% loss. If he had sold it for 210 USD more, he would have made a profit of 20%. Find the cost of price of the watch. - The test 3
The provided test marks for a small class of student are as follows Don 70%, Jody 68%, Raz 65% and that of Max is not provided. If the class average is 75%, what is Max test marks?
- Fraction or percent
Which is smaller, 0.3 or 25%? - PC and laptop
A person spent Rs 50000 to purchase a desktop computer and a laptop computer. He sold the desktop at a 20% profit and the laptop at a 10% loss. If, overall, he made a 2% profit, then find the purchase price, in rupees, for the desktop. - To percentages
Convert the following ratios to percentages. (a) 3 : 4 (b) 2 : 3 (c) 5/8 (d) 15/16 - Tricky result
Classic adding with percentages: Evaluate 28% of 450 + 45% of 280 - Numerator and denominator
If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is 9/35. What is the original fraction?
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