Percentages + reason - practice problems
Number of problems found: 178
- A pie 16
A pie is divided into 100 guests. Guest 1 gets 1%, guest 2 gets 2% of what left,... and so on. Who gets the largest piece of pie?
- Two trains 16
Two trains cross each other in 14 seconds when they are moving in opposite direction and when they are moving in the same direction they cross each other in 3 minutes 2 seconds . The speed of the faster train is by what percent more than the slower train?
- Full-tank
A full-tank of petrol a car lasts for 10 days. If driver starts using 25% more everyday, how many days will the full-tank petrol last?
- A mobile
A mobile phone and a tablet were sold at a profit of 10% and a loss of 8% respectively . If the cost price of the mobile is 1.5 times that of the tablet what is the overall percentage earned by selling both the articles?
- Storm 4
Approximately 4000 trees grow on 1 hectare of forest. During the storm of 20.11.2004, 95% of the trees on 100km² of the forest cover of the High Tatras were destroyed. How many trees were destroyed?
- Sweets
There are 12 sandwiches on a plate, 5 of which are poppy seeds and 7 are jam. How many cheese sandwiches must be added to them so that the probability that a randomly selected sandwich is poppy seed is 20%?
- Stock inventory
At the beginning of each week, the stock inventory in the warehouse increases by 5% of the current level. At the end of every second week, 8% of the goods are issued from the warehouse. By how much percent will the stock in the warehouse be greater after
- February sales
The company earned only four-fifths of what it earned in January in February. How many percent more did the company earn in January than in February?
- Hockey - game
A hockey goalkeeper has a save success rate of 93.5%. What is the probability that he will keep a clean sheet in a match when facing 25 shots? What is the probability that he will concede a maximum of 2 goals?
- Left-handed
There are 100 people in a room, 99% of whom are left-handed. How many left-handed people must leave the room to reduce this proportion to 98%?
- Divisible PIN
Marek's mother helped him with his shopping. She wanted to pay with a card when collecting the goods in person, but she wasn't sure what her PIN was. Could it have been if her PIN code was a number divisible by six?
- Four-digit numbers
Find all four-digit numbers whose decimal notation begins with a six and ends with a two and is divisible by 24.
- Production
The company's production in February was 15% greater than in January and 25% less than in March. By what percent was the production in March higher than in January?
- Distinction 83469
In the year's first half, 20% of the 8A class students had honors. At the end of the year, 3 more students joined them, and a total of 32% of the students received the distinction. How many pupils went to 8A?
- Good grades
At school, 10 percent of boys and 15 percent of girls achieve good grades. What percentage of students achieve good grades when 60 percent of girls are in school?
- Wardrobe code
Lucia has a lock on her wardrobe that opens with a 4-digit code (such as 0000, 0089, or 9123). Lucia forgot her code. But she knows that the sum of all four digits of her code is 4. How many such codes are there?
- Percentage 83250
There were four times more girls than boys at the show. By what percentage were there more girls than boys at the show?
- Successful 83167
Eighth-grade test results: 8D =? 8B = 47 8A = 44 8E = 37 8C = 28 Class 8A achieved exactly the average result. How many points did the winning class 8D get? By what % is class 8B more successful than class 8C?
- Precisely 82697
The tennis player won precisely 55% of the balls during his serve. In doing so, he served less than thirty times. How many times did he serve?
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