CAT Percentages questions with solutions
Percentage change, successive changes and comparisons. 30 questions from our 2016–2025 CAT pattern papers. Each has the answer and a full solution.
CAT 2025
- The price of an article is first increased by 20% and then decreased by 20%. (Enter a negative number if the price decreases.)
- A shopkeeper marks an item at ₹2,400 and offers two successive discounts of 20% and 15%. What is the final selling price?
- A number is first increased by 20% and the result is then decreased by 25%. The final number is what percentage of the original number?
- The price of an item is increased by 25% and then decreased by 20%.
CAT 2024
- In a class, 60% of the students are boys and the rest are girls. If 25% of the boys and 40% of the girls play chess, what percentage of the whole…
- The price of a commodity is first increased by 20%, then decreased by 25%, and finally increased by 50%. Find the net percentage change in the price.
- The price of an item is increased by 25%. By what percentage must the new price be reduced to bring it back to the original price?
- A retailer marks up the price of an item by 40% over its cost price. He then offers two successive discounts of 10% and 5% on the marked price. What…
CAT 2023
CAT 2022
- The population of a town increases by 10% in the first year and decreases by 10% in the second year. What is the net percentage change in population…
- The population of a town increases by 20% in the first year, decreases by 10% in the second year, and increases by 25% in the third year. If the…
- The price of sugar increases by 25%. By what percentage should a family reduce its sugar consumption so that its expenditure on sugar increases by…
CAT 2021
CAT 2020
- In an election between two candidates, 10% of the voters on the list did not vote and 60 of the votes cast were declared invalid. The winning…
- A's monthly salary is 30% more than B's, and B's monthly salary is 20% less than C's. If C earns ₹50,000 a month, by what percentage does A's salary…
- The price of sugar rises by 25%. A household wants its monthly expenditure on sugar to rise by only 10%. By what percentage must it reduce its…
- In an election between two candidates, 10% of the voters on the list did not cast their vote and 60 of the votes cast were declared invalid. The…
CAT 2019
- Ravi's monthly salary is 25% more than Sohan's. By what percentage is Sohan's salary less than Ravi's?
- In an election between two candidates, 10% of the voters on the voter list did not vote and 60 of the votes cast were declared invalid. The winning…
- The price of a jacket is first increased by 30%. During a sale, the new price is reduced by 20%, and a loyalty card gives a further 5% off the sale…
- In an election between two candidates, 10% of the registered voters did not vote, and 60 of the votes cast were declared invalid. The winner received…
CAT 2018
CAT 2017
- Ravi's monthly salary is 25% more than Karan's. By what percentage is Karan's salary less than Ravi's?
- In an election between two candidates, 10% of the voters on the voters' list did not vote and 60 votes cast were declared invalid. The winning…
- Ravi's monthly salary is 25% more than Sunil's. By what percentage is Sunil's salary less than Ravi's?
- In an election contested by two candidates, 10% of the registered voters did not vote and 60 of the votes cast were declared invalid. The winning…
CAT 2016
- The population of a town increased by 10% in the first year, decreased by 10% in the second year and increased by 20% in the third year. If the…
- A's monthly salary is 25% more than B's. C's monthly salary is 20% less than A's. Which of the following is true?
- In an election between two candidates, 20% of the registered voters did not vote, and 5% of the votes cast were declared invalid. The winner got 55%…
Other Quant topics
Time, Speed and Distance 38Time and Work 23Pipes and Cisterns 11Simple and Compound Interest 33Profit, Loss and Discount 42Mixtures and Alligation 35Ratio and Partnership 17Averages 19Permutations, Combinations and Sets 28Probability 20Logarithms and Indices 16Quadratic Equations and Polynomials 18Linear Equations 9Inequalities and Modulus 19Functions 22Maxima and Minima 11Progressions 29Remainders and Divisibility 15Number System 19Coordinate Geometry 29Triangles 24Circles 18Polygons and Quadrilaterals 12Mensuration 13