Percentages - high school - practice problems
Number of problems found: 666
- A man 24
A man distributed 25300 EUR among his 3 sons A, B, C in such a way that the amounts of their parts at 10% simple interest in 2 years, 3 years, 4 years will be equal. A's share?
- Triple the sum
At what rate a sum triples in 5 years at simple interest?
- Percents and ratio
When 20% of a number is added to another number, the number increases by 50%. What is the ratio of the two numbers?
- Dual profit
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest 18%. He gains 14% on the whole. Find the quantity of 8% profit.
- Dilution
How many liters of water will have to be added to 1125 liters of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?
- Lightbulbs
The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 48 and a standard deviation of 10. Using the emp
- 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?
- Failed in examination
In an examination, 20% of total students failed in history,15% failed in English and 5% of total number of students failed in both subjects. Find the percentage of total number of students who passed in both the subjects.
- A furniture
A furniture dealer bought a dining set at 12000 USD. At what price would the dealer sell this set by offering a discount of 5% and still make a profit of 10%?
- By selling
By selling an article for $ 21, a trader loses as much percent as the cost price of the article. Find the cost price.
- Scholarship 3
The ratio of number of boys to that of the girls in a school is 3:2. If 20% of boys and 25% of the girls are scholarship holders, find the percentage of those who are not scholarship holders?
- The radius 3
The radius of a solid circular cylinder decreases by 20% and its height increases by 10% . Find the percentage change its : (a) volume (b) curved surface area.
- A merit scholarship
Last year’s freshman class at Big State University totaled 5,307 students. Of those, 1,264 received a merit scholarship to help offset tuition costs during their freshman year (although the amount varied per student). The amount a student received was N($
- Simple interest
At what time will the sum be doubled at 5% per annum at simple interest?
- Compound continuously
Find the balance in the account after 10 years. P= $1900; r= 6% Compound continuously.
- 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.
- The value
The value of the property decreases every year at the rate of 5%. If its present value is 411540 USD, what was its value three years ago?
- Petrol and kerosene
What will be the ratio of petrol and kerosene in the final solution formed by mixing petrol and kerosene that are present in three vessels in the ratio 4:1, 5:2, and 6:1, respectively?
- Impurity - glycerine
A sample of 50 L of glycerine is found to be adulterated to the extent of 20%. Find how much pure glycerine should be added to reduce impurity percentagerity to 5%.
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