Percentages practice problems - page 72 of 100
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: 1991
- Interest 4818
The interest for one year on the deposit of € 2,000 was € 18. What was the annual interest rate in percent? - Two aces
From a 32-card box, we randomly pick 1 card and then two more cards. What is the probability that the last two drawn cards are aces? - Sugar cubes
The glass has 600 ml of tea, which represents 80% of the volume of the glass. If you put twenty regular sugar cubes of 2 cm in the tea, how many ml of tea are poured? - Percentages 5
$5.25 is 7 1/2% of what number?
- Follows: 4799
The garden around the flat house is divided as follows: 30 percent flowers, 35 percent orchards, and 150 square meters from the lawn. What is the total area? - Electricity consumption cost
Last year Carol's family reduced its electricity consumption by 31% compared to the previous year and paid CZK 2883 less. How much CZK was electricity last year, and how many two years ago? - Isosceles right triangle
The area of an isosceles right triangle is 18 dm². Calculate the length of its base. - Rectangle
Find the dimensions of the rectangle, whose perimeter is 108 cm and the length is 25% larger than the width. - Investment of the year
At the beginning of the year, my father invested EUR 1,000 in the bank at an annual interest rate of 3%. How many euros will the bank credit him with the deposit after eight months? (compound interest - from financial mathematics)
- Influenza 4707
There were 36 new cases of influenza at the school during the study week, which was 40 percent less than in the previous week. How many new flu cases have been reported in the last week? - Production 4704
The monthly production schedule of the two companies totaled 360 machines. When the first company met its plan at 105% and the second at 117%, the two companies produced 402 machines. Determine the original monthly schedules of both businesses. - Toy cars
Pavel has a collection of toy cars. He wanted to regroup them. But in the division in groups of three, four, six, and eight, he was always one left. Only when he formed groups of seven he divided everyone. How many toy cars have in the collection? - Job task
After two hours and 40 minutes, the job is finished. Compared to last year, we were 40 minutes faster. What is the percentage increase in our performance? - Percentage 4667
The customer must buy goods worth CZK 3,800 without VAT and receive those worth CZK 3,340 without VAT. What percentage is the discount?
- How far
From the top of a lighthouse 145 ft above sea level, the angle of depression of a boat is 29°. How far is the boat from the lighthouse? - Percentage 4640
What percentage of a quarter can be expressed as a percentage? - Cost reduction
Two MP3 players whose price was equal to initially have been discounted, the first by 20%, the second by 35%. The difference in their prices of 750 CZK was after the price reduction. What was the original price of each of the two players? - Comparing salaries
Spouses compared salaries. Mrs. Janka found a 20% higher salary than Mr. Jaroslav. Together they earned € 1,430. How much do they earn each of them? - Discounted 4623
The difference in prices for MP3 players was CZK 750. The shop discounted the MP3 player by 20%. The second MP3 was discounted by 35%, and after the discount, the difference in their prices was CZK 750. How much did they face before the deal?
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