Percentage Questions

Percentage questions show up in everyday situations like exam marks, shopping discounts, and tracking usage. Most students know the basics but struggle to apply them to real problems.

Use this page to practise step by step, or jump straight to what you need - Formulas Table, Basic Questions, Percentage Increase and Decrease, Word Problems, MCQ Questions, Tricks and Shortcuts, Mistakes to Avoid, or FAQs.

Table of Contents

• Formulas Table
• Basic Questions
• Percentage Increase and Decrease Questions
• Word Problems
• MCQ Questions
• Percentage Tricks and Shortcuts
• 4 Mistakes to Avoid
• Conclusion
• Frequently Asked Questions On Percentage Questions

Formulas Table

 

Note: Percentage increase and decrease are always calculated on the original value - not the new value

Basic Questions

Q1. Find 25% of 200.

Answer: 25% of 200 = (25 / 100) x 200 = 0.25 x 200 = 50

Q2. In a class of 40 students, 32 passed. What percentage passed?

Answer: Percentage = (Part / Whole) x 100

= (32 / 40) x 100

= 0.8 x 100 = 80%

Q3. 15% of a number is 45. Find the number.

Answer: Whole = (Part x 100) / Percentage

= (45 x 100) / 15

= 4500 / 15 = 300

Practice Questions

1. Find 40% of 350.

2. A bag has 80 balls. 35 are red. What percentage are red?

3. 20% of a number is 60. Find the number.

4. Ravi scored 72 out of 90. Find his percentage.

Read more:

• How to create a Pie Chart
• 1 million means
• Roman Numerals
  
  

Percentage Increase and Decrease Questions

Q1. A shirt originally costs Rs. 500. The price increases by 20%. What is the new price?

Answer: New price = Original x (100 + rate%) / 100

= 500 x 120 / 100 = Rs. 600

Q2. The population of a town was 80,000. It decreased by 15%. What is the new population?

Answer: New population = 80,000 x (100 - 15) / 100

= 80,000 x 85 / 100 = 68,000

Q3. A laptop was priced at Rs. 45,000. After a revision it costs Rs. 54,000. Find the percentage increase.

Answer: Increase = 54,000 - 45,000 = Rs. 9,000

Percentage increase = (9,000 / 45,000) x 100 = 20%

A note on this topic:

If two percentage increases are applied one after the other, you cannot add them together. A 10% increase followed by another 10% increase is not 20% - it is 21%. 

Practice Questions

1. A salary of Rs. 25,000 is increased by 12%. Find the new salary.
2. A jacket costs Rs. 1,200. After a 15% discount, find the new price.
3. Last year a school had 600 students. This year it has 660. Find the percentage increase.

Word Problems

Q1. Aman scored 396 marks out of 500 in his annual exams. What is his percentage? If passing marks are 40%, did he pass?

Answer: Percentage = (396 / 500) x 100 = 79.2%

Passing marks = 40% of 500 = 200

Aman scored 396 - well above 200.

Aman scored 79.2% and he passed.

Q2. A shopkeeper bought a TV for Rs. 18,000 and sold it at 12% profit. He then spent 5% of his profit on transport. How much did he actually keep?

Answer: Profit = 12% of 18,000 = Rs. 2,160

Transport = 5% of 2,160 = Rs. 108

Profit kept = 2,160 - 108 = Rs. 2,052

Q3. In an election, candidate A got 55% of the votes. B got the rest. Total votes were 1,20,000. How many more votes did A get?

Answer: Votes for A = 55% of 1,20,000 = 66,000

Votes for B = 45% of 1,20,000 = 54,000

Difference = 66,000 - 54,000 = 12,000

Practice Questions

1. Priya scored 234 out of 300. Express her score as a percentage.
2. A fruit seller had 240 mangoes. 15% were rotten. How many were good?
3. A school has 800 students. 45% are girls. How many are boys?

MCQ Questions