CAT Percentages Questions with Solutions PDF; Preparation Guide, Practice Paper

Find some questions from CAT Percentages with different difficulty levels:

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

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