CAT Percentages Questions with Solutions PDF

CAT Percentages question accounts for nearly 40 per cent of the entire CAT question paper directly or indirectly. A good hold on percentages can help candidates obtain a good score in Quant as well as DILR sections. In each session of CAT exam, candidates can expect 3-5 direct questions (this is roughly 15 - 20 per cent of all Arithmetic questions). The test taker must aim to solve each question within 1-2 minutes.

In the CAT exam, apart from the direct percentage questions, candidates will find questions that require percentages basics to solve the same. Candidates find CAT percentage questions on product constancy, successive percentage changes, and population or voting scenarios. A good hold on percentages also helps in advanced CAT topics like Profit, Loss, and Discount, Compound Interest, and Data Interpretation growth rates. This article hosts some CAT Percentages questions with solutions PDFs.

CAT Quant Practice Questions with Solutions

Sample CAT Percentages Questions with Solutions

Q1. Meena scores 40% in an examination and after review, even though her score is increased by 50%, she fails by 35 marks. If her post-review score is increased by 20%, she will have 7 marks more than the passing score. The percentage score needed for passing the examination is: 

• 60%

• 65%

• 70%

• 75%

Difficulty Level: Easy

Q2. A container holds 200 litres of a solution of acid and water, having 30% acid by volume. Atul replaces 20% of this solution with water, then replaces 10% of the resulting solution with acid, and finally replaces 15% of the solution thus obtained, with water. The percentage of acid by volume in the final solution obtained after these three replacements, is nearest to: 

• 23%

• 25%

• 29%

• 27%

Difficulty Level: Medium

Q3. The salaries of three friends Sita, Gita and Mita are initially in the ratio 5 : 6 : 7, respectively. In the first year, they get salary hikes of 20%, 25% and 20%, respectively. In the second year, Sita and Mita get salary hikes of 40% and 25%, respectively, and the salary of Gita becomes equal to the mean salary of the three friends. The salary hike of Gita in the second year is:

• 26%

• 30%

• 28%

• 25%

Difficulty Level: Medium

Q4. The total of male and female populations in a city increased by 25% from 1970 to 1980. During the same period, the male population increased by 40% while the female population increased by 20%. From 1980 to 1990, the female population increased by 25%. In 1990, if the female population is twice the male population, then the percentage increase in the total of male and female populations in the city from 1970 to 1990 is:

• 68.25%

• 68.50%

• 69.25%

• 68.75%

Difficulty Level: Hard

Q5. Anil buys 12 toys and labels each with the same selling price. He sells 8 toys initially at 20% discount on the labelled price. Then he sells the remaining 4 toys at an additional 25% discount on the discounted price. Thus, he gets a total of Rs 2112 and makes a 10% profit. With no discounts, his percentage of profit would have been:

• 50%

• 55%

• 60%

• 54%

Difficulty Level: Hard