Percentages + system of equations - practice problems
Number of problems found: 243
- The profit 6
A man sells an article at a profit of 20%. If he had bought it at 20% less and sold it for $5 less, he would have gained 25%. Find the cost price of the article. - Two types of ore
A total of 42 tonnes of two types of ore is to be fed into a smelter. The first type contains 6% copper and the other contains 2.5% copper. Find the necessary amounts of each ore to produce 2 tonnes of copper. - A man 24
A man distributed €25,300 among his 3 sons A, B, and C such that the amounts of their portions, with 10% simple interest over 2 years, 3 years, and 4 years respectively, will be equal. What is A's share? - Dual profit
A merchant has 1,000 kg of sugar, part of which he sells at an 8% profit and the rest at an 18% profit. He gains 14% on the whole. Find the quantity sold at an 8% profit. - Two trains 16
Two trains cross each other in 14 seconds when moving in opposite directions, and in 3 minutes and 2 seconds when moving in the same direction. By what percentage is the speed of the faster train greater than that of the slower train? - Sum of squares
If the first number is 80% of the second number and 4 times the sum of their squares is 656, find the numbers. - Stocks and bonds
Mr. Cash invested $80000 in various stocks and bonds. He earned a 7% dividend on his stocks and 5% interest on his bonds, for a one year profit (both stocks and bonds) of $4,900. How much did Mr. cash invest in bonds? - A reduction
A 40% reduction in the price of mango would enable a buyer to get 2 kg more for Rs 90. Find the initial/original price of mango per kg. - A trader
A trader sold two saree at Rs 96 each & it causes the same% of profit and loss to each saree. If, as a whole he gets total loss of 4%, then what is the gain/loss% in the sale? - 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. - I have 2
I have $907 to pay 13 people. Five people will receive half of what the other 8 people will receive. How much will the payments to each person be? - Two workshops
Two workshops were supposed to produce 4,000 sets of kitchen utensils together. After completing the task, it was found that the first workshop produced 534 sets more than originally planned for it, while the second workshop fulfilled its plan at 80%. How - Employees in a company
A company with 326 employees decided to build a parking lot for employees. In the parking lot design there are 84 parking spaces for cars. Each parking space for cars can be replaced with 3 parking spaces for motorcycles. Calculate the total number of veh - Three items The price of a product is determined by these three items: the price of equipment (hardware), the price of software, and the profit. The price of the software was 500 Kč higher than three times the price of the hardware. The profit was set twice as high a
- Ondra book pages
Andrew was reading a book. On the first day, he read one-tenth. On the second day, he read half of the remainder. On the third day, he read 20% of the new remainder, and on the fourth day, he read the remaining 72 pages. How many pages did the book have? - Salt solution
The 50% salt solution must be diluted with distilled water to make 20 liters of 35% solution. How many liters of original solution and how many liters of water do we need? - Individual
To prepare 14 kg of cheese with 45% dry matter, three types of cheese mixtures were blended. The first mixture weighed 5 kg; the second weighed 3 kg and contained 14 percentage points more dry matter than the first. The third mixture, which had twice the - Wine bottle price
Five bottles of white wine and six bottles of red wine cost 1410 CZK. A bottle of red wine was CZK 15 more expensive than a bottle of white wine. How many crowns will we pay for two white and two red wine bottles? - Alcohol concentration mixing In the hospital laboratory, two containers contained different concentrations of alcohol. After mixing 10 liters of alcohol from the first container with 14 liters from the second container, 75% of the alcohol was formed. If 40 liters from the first conta
- Investment An investment advisor has at his disposal two types of investments for clients: conservative investment A, which provides an annual return of 8%, and riskier investment B with an annual return of 24%. The client can distribute his investment between the t
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