CAT QA PERCENTAGE QUESTIONS

After two successive increments, Gopal's salary became 187.5% of his initial salary. If the percentage of salary increase in the second increment was twice of that in the first increment, then the percentage of salary increase in the first increment was

After two successive increments, Gopal's salary became 187.5% of his initial salary. If the percentage of salary increase in the second increment was twice of that in the first increment, then the percentage of salary increase in the first increment was

In a group of 250 students, the percentage of girls was at least 44% and at most 60%. The rest of the students were boys. Each student opted for either swimming or running or both. If 50% of the boys and 80% of the girls opted for swimming while 70% of the boys and 60% of the girls opted for running, then the minimum and maximum possible number of students who opted for both swimming and running, are

In September, the incomes of Kamal, Amal and Vimal are in the ratio 8 : 6 : 5. They rent a house together, and Kamal pays 15%, Amal pays 12% and Vimal pays 18% of their respective incomes to cover the total house rent in that month. In October, the house rent remains unchanged while their incomes increase by 10%, 12% and 15%, respectively. In October, the percentage of their total income that will be paid as house rent, is nearest to

The population of a town in 2020 was 100000 . The population decreased by  from the year 2020 to 2021 , and increased by  from the year 2021 to 2022, where  and  are two natural numbers. If population in 2022 was greater than the population in 2020 and the difference between  and  is 10 , then the lowest possible population of the town in 2021 was

A merchant purchases a cloth at a rate of Rs.100 per meter and receives 5 cm length of cloth free for every 100 cm length of cloth purchased by him. He sells the same cloth at a rate of Rs.110 per meter but cheats his customers by giving 95 cm length of cloth for every 100 cm length of cloth purchased by the customers. If the merchant provides a 5% discount, the resulting profit earned by him is

A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginning of a day, the number of mangoes make up 40% of his stock. That day, he sells half of the mangoes, 96 bananas and 40% of the apples. At the end of the day, he ends up selling 50% of the fruits. The smallest possible total number of fruits in the stock at the beginning of the day is

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

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

In a tournament, a team has played 40 matches so far and won 30% of them. If they win 60% of the remaining matches, their overall win percentage will be 50%. Suppose they win 90% of the remaining matches, then the total number of matches won by the team in the tournament will be

A box has 450 balls, each either white or black, there being as many metallic white balls as metallic black balls. If 40% of the white balls and 50% of the black balls are metallic, then the number of non-metallic balls in the box is

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

In the final examination, Bishnu scored 52% and Asha scored 64%. The marks obtained by Bishnu is 23 less, and that by Asha is 34 more than the marks obtained by Ramesh. The marks obtained by Geeta, who scored 84%, is

A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginning of a day, the number of mangoes make up 40% of his stock. That day, he sells half of the mangoes, 96 bananas and 40% of the apples. At the end of the day, he ends up selling 50% of the fruits. The smallest possible total number of fruits in the stock at the beginning of the day is

In the final examination, Bishnu scored 52% and Asha scored 64%. The marks obtained by Bishnu is 23 less, and that by Asha is 34 more than the marks obtained by Ramesh. The marks obtained by Geeta, who scored 84%, is

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?

The strength of an indigo solution in percentage is equal to the amount of indigo in grams per 100 cc of water. Two 800 cc bottles are filled with indigo solutions of strengths 33% and 17%, respectively. A part of the solution from the first bottle is thrown away and replaced by an equal volume of the solution from the second bottle. If the strength of the indigo solution in the first bottle has now changed to 21% then the volume, in cc, of the solution left in the second bottle is

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

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?

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]

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

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

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

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?

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

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

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)

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)

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:

As per agreement with a bank, a businessman had to refund a loan in some equal installments without interest. After paying 14 installments, he found that 70 percent of his loan was refunded. How many instalments were there in the agreement?

The price of lemons increased by 40%, and as a result, 8 fewer lemons could be bought for Rs. 12. How many lemons could have been bought for Rs.60 before the price increase?

A salesman takes a 6% commission on the total sales he makes. He also receives a 1% bonus on sales exceeding Rs. 10,000 and a fixed bonus of Rs. 500 for every Rs. 10,000 in sales exceeding Rs. 10,000. If the salesman's total earnings are Rs. 13,800, find the total sales.

In a certain cricket season, the Pakistan team won 40% of the first 30 matches they played. If the team wants an overall success rate of 60%, what is the minimum number of additional matches they must play (and win) to achieve the target?

If the price of sugar is increased by 25%, Nishant can buy 36 kg of sugar. If the price of sugar is decreased by 25% from its initial price, then, how much amount (in kg) of sugar Nishant can now buy with the same amount as earlier?

In a store, the number of flour bags is 50% more than rice bags, and sugar bags are 20% less than rice bags. After 60% of flour, 40% of rice, and 30% of sugar bags are sold, 704 bags remain. Find the number of bags sold.

A coffee vendor blends two types of coffee beans—one costing ₹120 per kg and the other ₹144 per kg. He sells 800 g packs of the mixture at ₹136 each, making a profit of 25%. What is the difference between the percentage composition of the two types of coffee beans in the final blend?(Round off the answer to the nearest integer)

A luxury car’s value depreciates by a fixed percentage each year. Its value dropped by ₹2,00,000 in the second year and ₹1,12,500 in the fourth year. If the rate of depreciation remained constant, then, by how much the value of the car dropped in the 3rd year?

In a certain cricket season, the Pakistan team won 50% of the first 20 matches they played. If the team wants an overall success rate of 80%, what is the minimum number of additional matches they must play (and win) to achieve the target?

The price of an item rose by 25%. A family decides to cut back on usage of this item so that its total expenditure increases by only 10% compared to the old expenditure. If the family originally used 50 kg of the item, how many kilograms should it now consume?

The population of a village P is 125% more than the village Q. For the next two year, the population of Q increases by X percent per year and the population of P decreases by the same percentage per year. If the population of P and Q become equal after 2 years, then the value of X is.

In April, Priya bought the same amount of apples and oranges as she had bought in January, but spent ₹300 more due to price increases of apples by 25% and oranges by 15%. If Priya had spent ₹300 on apples in January, how much did she spend on oranges in January?

Fresh grapes contain 80% water by weight while dried grapes contain 25% water by weight. What is the weight of dry grapes available from 60 kg of fresh grapes?

In an examination, 2500 boys and 1500 girls appeared. 60% of the boys and 30% of the girls passed the examination. The percentage of candidates who failed: