Percentages Questions for CAT

In a team there are 240 members (males and females). Two-third of them are males. Fifteen percent of males are graduates. Remaining males are nongraduates. Three-fourth of the females are graduates. Remaining females are non-graduates. What is the sum of the number of females who are graduates and the number of males who are non-graduates?

Kavita wrote a book of poems consisting of 40 pages, with each page containing 64 lines and 75 characters per line. If the number of lines is reduced to 50 but the number of characters is increased to 80 per line, what is the percentage change in the number of pages? (Assume the number of pages is a whole number.)

The cost of an Apple iPad was 100 dollars. The value of a dollar against rupees has increased sharply from Rs. 50 to Rs. 60. Find the %change in an iPad price in rupee terms?

A table and a chair are priced at ₹3000 and ₹1000 respectively. If the price of the table and that of the chair is increased by $10\%$ and $20\%$ respectively, then the price of 10 tables and 20 chairs is:

A's income is 20% more than B's. If B earns 25000, what is A's income?

17. In Question 16, what will be the selling price of the article if he allows two successive discounts of 10% each?

Mohan’s present salary is 120% of Sushant’s salary. If next year Sushant’s salary will be appraised by 120% and Mohan’s salary will be appraised by 20%, then Sushant’s salary will be what percent of Mohan’s salary after appraisal?

In a garden, 30% of plants are flowering. Of those, 30% are roses, 40% hibiscus, rest neem. Among non-flowering (70%), 40% are pines and rest yews. What % more are yews than hibiscus?

32. In the above question, what will be the approximate possible maximum price per ticket (if discounts have been availed for 24 tickets)?

A college approached x benefactors. 60% donated Rs.100 on average, which contributed 20% of the needed fund. What average should the remaining donors give to raise the rest?

In 2010, a library had 20000 books divided into fiction and non-fiction. In 2015, it had 21330 books. During this time, fiction increased by 8% and non-fiction increased by 5%. Find the number of fiction books in 2015.

In a region, the total electricity generation increased by 45% and the per capita generation increased by 25% in a period. The percentage by which the population of the region increased is nearest to

In a recruitment exam, the number of female candidates is three times the number of male candidates. If 40% of the females and 20% of the males get selected, what percentage of candidates do not get selected?

In order to pass, students have to score 750 out of the aggregate marks in a particular college. Rahul scored 720 and was declared failed by 2%. What is the maximum aggregate marks a student can get in the examination?

Four friends — Bablu, Charan, Dhoni, and Ethan — appear for an exam. Charan scored 33.33% more than Ethan, Bablu scored 50% less than Dhoni, and Charan scored 22 more than Dhoni. If the sum of marks of Bablu and Ethan is 59, what is the total of all four?

In an exam with $100$ questions, a student earns $1$ mark for each correct answer, loses $-\tfrac{1}{3}$ for each incorrect answer, and receives $-\tfrac{1}{4}$ for each question not attempted. If the student scores $80$ marks, how many questions did he answer incorrectly?

Two cubes of bronze have their total weight equivalent to 60 kg. The first piece contains 10 kg of pure zinc and the second piece contains 8 kg of pure zinc. What is the percentage of zinc in the first piece of bronze if the second piece contains 15 per cent more zinc than the first?

At the end of 2015, a community garden had 5,000 plants. From 2016 onward, at the beginning of each year the gardeners added $p\%$ of the current plants, and at the end of the same year they removed $q\%$ of the plants due to disease, where $p>0$ and $q>0$ are constants. If, after completing this process each year, the garden again had exactly 5,000 plants at the end of 2020, which of the following must be true?

In 2020, a district had 120000 people. The population fell by y% in 2021 and rose by x% in 2022, with x and y natural numbers and x − y = 6. If the 2022 population exceeded that of 2020, the minimum possible population in 2021 was

In a group of 200 students, the percentage of girls was at least 40% and at most 60%. The rest were boys. Each student opted for either coding or music or both. If 40% of the boys and 85% of the girls opted for coding while 75% of the boys and 45% of the girls opted for music, then the minimum and maximum possible number of students who opted for both coding and music, are