🛑 Percentage Math Problems 🛑
The price of a scooter increased by 15% and then decreased by 10%. What is the overall percentage change in the price?
(a) 3.5% increase
(b) 5% increase
(c) 6.5% increase
(d) 7% increase
In an examination, 30% of the students failed in Mathematics, 25% failed in English, and 15% failed in both subjects. What percentage of students passed in both subjects?
(a) 50%
(b) 55%
(c) 60%
(d) 65%
A man spends 40% of his income on food, 20% on house rent, and saves the rest. If his savings amount to ₹3600, what is his income?
(a) ₹6000
(b) ₹7200
(c) ₹9000
(d) ₹12000
A number is such that when it is increased by 25%, it becomes 100. What is the number?
(a) 75
(b) 80
(c) 120
(d) 125
If the numerator of a fraction is increased by 20% and the denominator is decreased by 20%, what is the percentage change in the value of the fraction?
(a) 0%
(b) 20% increase
(c) 40% increase
(d) 50% increase
A container has a mixture of milk and water in the ratio 5:3. If 16 liters of this mixture are removed and replaced with 16 liters of pure milk, the ratio of milk to water becomes 7:1. What was the original quantity of the mixture in liters?
(a) 24
(b) 32
(c) 40
(d) 48
The selling price of an article is 5/4 times its cost price. What is the profit percentage?
(a) 10%
(b) 20%
(c) 25%
(d) 30%
The population of a city increased from 20000 to 25000. What is the percentage increase in the population?
(a) 20%
(b) 25%
(c) 30%
(d) 35%
A shopkeeper buys two bicycles for ₹1000 each. He sells one at a profit of 10% and the other at a loss of 10%. What is his overall percentage profit or loss?
(a) 1% profit
(b) 1% loss
(c) No profit, no loss
(d) Cannot be determined
What percentage of 80 is 20?
(a) 16%
(b) 20%
(c) 25%
(d) 40%
If A's salary is 40% less than B's salary, then B's salary is what percentage more than A's salary?
(a) 40%
(b) 50%
(c) 66
3
2
%
(d) 75%
A bag contains red and blue balls in the ratio 3:5. If 20% of the red balls and 30% of the blue balls are removed, what is the new ratio of red to blue balls?
(a) 9:25
(b) 12:35
(c) 15:28
(d) 18:35
The price of tea is increased by 25%. By what percentage should a family decrease its consumption so that their expenditure on tea increases by only 10%?
(a) 12%
(b) 15%
(c) 18%
(d) 20%
In a class election, a candidate received 60% of the votes and won by a margin of 40 votes. How many votes were cast in total?
(a) 100
(b) 150
(c) 200
(d) 250
A solution of sugar and water is 80% water. If 20 liters of water are added to 60 liters of this solution, what is the percentage of water in the new solution?
(a) 85%
(b) 88%
(c) 90%
(d) 92%
More Hard Percentage Word Problems for Class 8
A furniture dealer sells a table for ₹6000, making a profit of 20%. What was the cost price of the table? If he wants to make a profit of 25%, what should be the selling price?
In a school, 55% of the students are boys. If the number of girls is 630, what is the total number of students in the school? What is the number of boys?
The price of wheat increased by x%. A family reduced its consumption by 20% so that the expenditure on wheat increased by only 4%. Find the value of x.
A mixture of acid and water contains 30% acid. When some quantity of water is added to it, the percentage of acid becomes 20%. If the original quantity of the mixture was 50 liters, how much water was added?
A person invests ₹8000 at a certain rate of simple interest per annum. After 3 years, the amount becomes ₹9920. Find the rate of interest per annum.
The population of a town increases by 5% every year. What will be the population after 2 years if the present population is 16000?
A shopkeeper marks his goods 50% above the cost price and then offers a discount of 30% on the marked price. What is his profit or loss percentage?
Two numbers are such that the second number is 25% greater than the first number. By what percentage is the first number less than the second number?
