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Percentages CAT Previous Year Questions with Answer PDF

Question for CAT Previous Year Questions: Percentages
Try yourself:In an election, there were four candidates and 80% of the registered voters casted their votes. One of the candidates received 30% of the casted votes while the other three candidates received the remaining casted votes in the proportion 1 : 2 : 3. If the winner of the election received 2512 votes more than the candidate with the second highest votes, then the number of registered voters was:
                                                                                                                                                                                            [2022]
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Question for CAT Previous Year Questions: Percentages
Try yourself:Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price per gram of chocolate in the large box is 12% less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to

[2021]

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Question for CAT Previous Year Questions: Percentages
Try yourself:In a group of people, 28% of the members are young while the rest are old. If 65% of the members are literates, and 25% of the literates are young, then the percentage of old people among the illiterates is nearest to  
[2020].
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Question for CAT Previous Year Questions: Percentages
Try yourself:In May, John bought the same amount of rice and the same amount of wheat as he had bought in April, but spent ₹ 150 more due to price increase of rice and wheat by 20% and 12%, respectively. If John had spent ₹ 450 on rice in April, then how much did he spend on wheat in May? 

[2020]

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Question for CAT Previous Year Questions: Percentages
Try yourself:The income of Amala is 20% more than that of Bimala and 20% less than that of Kamala. If Kamala's income goes down by 4% and Bimala's goes up by 10%, then the percentage by which Kamala's income would exceed Bimala's is nearest to

[2019]

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Question for CAT Previous Year Questions: Percentages
Try yourself: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

[2019]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Percentages
Try yourself:In a class, 60% of the students are girls and the rest are boys. There are 30 more girls than boys. If 68% of the students, including 30 boys,pass an examination, the percentage of the girls who do not pass is

[TITA 2019]

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Question for CAT Previous Year Questions: Percentages
Try yourself:In 2010, a library contained a total of 11500 books in two categories - fiction and non-fiction. In 2015, the library contained a total of 12760 books in these two categories. During this period, there was 10% increase in the fiction category while there was 12% increase in the non-fiction category. How many fiction books were in the library in 2015?

[2019]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Percentages
Try yourself:In an examination, the score of A was 10% less than that of B, the score of B was 25% more than that of C, and the score of C was 20% less than that of D. If A scored 72, then the score of D was

[TITA 2019]

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Question for CAT Previous Year Questions: Percentages
Try yourself:In an examination, the maximum possible score is N while the pass mark is 45% of N. A candidate obtains 36 marks, but falls short of the pass mark by 68%. Which one of the following is then correct?

[2018]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Percentages
Try yourself:Arun's present age in years is 40% of Barun's. In another few years, Arun's age will be half of Barun's. By what percentage will Barun's age increase during this period?

[TITA 2017]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Percentages
Try yourself:Ravi invests 50% of his monthly savings in fixed deposits. Thirty percent of the rest of his savings is invested in stocks and the rest goes into Ravi's savings bank account. If the total amount deposited by him in the bank (for savings account and fixed deposits) is Rs 59500, then Ravi's total monthly savings (in Rs) is:

[TITA 2017]

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Question for CAT Previous Year Questions: Percentages
Try yourself:The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% of the boys get admission, the percentage of candidates who do not get admission is:

[2017]

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Question for CAT Previous Year Questions: Percentages
Try yourself:Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic market. If the remaining 8840 shirts are left for export, then the number of shirts produced in the factory is

[2017]

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Question for CAT Previous Year Questions: Percentages
Try yourself:In a village, the production of food grains increased by 40% and the per capita production of food grains increased by 27% during a certain period. The percentage by which the population of the village increased during the same period is nearest to

[2017]

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FAQs on Percentages CAT Previous Year Questions with Answer PDF

1. What are percentages?
Ans. Percentages are a way to express a number as a fraction of 100. It helps in comparing two quantities and understanding their relative values. For example, if you score 80% on a test, it means you have achieved 80 out of 100 marks.
2. How to calculate percentages?
Ans. To calculate a percentage, divide the given quantity by the total and multiply by 100. For example, if you want to find 20% of 50, you would divide 20 by 100 and then multiply the result by 50. The calculation would be (20/100) * 50 = 10.
3. How to find the original value from a percentage increase or decrease?
Ans. To find the original value after a percentage increase or decrease, divide the final value by 1 plus (or minus) the percentage. For example, if the final price of an item after a 20% discount is $80, you can find the original price by dividing $80 by (1 - 0.20). The calculation would be $80 / 0.80 = $100.
4. How to calculate percentage change?
Ans. Percentage change is calculated by dividing the difference between the new and old value by the old value, and then multiplying by 100. For example, if the price of a product increased from $50 to $60, the percentage change would be ((60 - 50) / 50) * 100 = 20%.
5. How to solve percentage problems involving multiple percentages?
Ans. When dealing with multiple percentages, you should apply them one after another. For example, if an item is initially marked up by 20% and then discounted by 10%, you would first calculate the marked-up price (100% + 20%) and then calculate the discounted price (120% - 10%).
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