Quantitative Aptitude
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| The difference between Compound interest and Simple interest on Rs. 6000 |
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| The difference between CI and SI on a sum of money lent for 2 years at 10% is Rs. 40. The sum is : |
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| A sum of Rs. 2400 deposited at CI, doubled after 5 years. |
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| The CI on Rs. 5000 for 3 years at 8% for first year, 10% for second year |
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| Rs. 6000 amounts to Rs. 7986 in 3 years at CI. The rate of interest is : |
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| At compound interest, if a certain sum of money doubles in n years |
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| A sum of Rs. 400 would become Rs. 441 after 2 years at r% compound interest, find the value of 'r' : |
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| The compound interest on Rs. 5000 at 30% per annum in 4 years is : |
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| The compound interest on Rs. 4000 at 25% p.a. in 3 years is : |
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| The compound interest on Rs. 10000 at 20% p.a. in 4 years is : |
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| The compound interest on Rs. 1000 at 10% p.a. in 3 years is : |
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| Find the amount of Rs. 1700 invested at 16% half yearly at simple interest for one year |
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| Find the amount of Rs. 2500 invested at 12% during the period from 4th February |
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| Pratibha invests an amount of Rs. 15,860 in the names of her three daughters |
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| A lends a sum of money for 10 years at 5% SI. B lends double the amount for 5 years |
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| A person takes a loan of Rs. 200 at 5% simple interest. |
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| Akul lent Rs. 6000 to Bakul for 2 years and Rs. 1500 to camlin for 4 years |
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| A sum of Rs. 2500 is lent out in two parts, one at 12% p.a. |
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| Out of a sum of Rs. 625, a part was lent at 5% SI and the other at 10% SI. |
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| A sum of money doubles itself in 12 years. In how many years would it treble itself ? |
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| A sum of money triples (i.e., 3 times) in 15 years at r% of simple interest |
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| At r% per annum a sum doubles after 20 years. The rate of interest per annum is : |
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| In what time will a sum of money double itself @ 20% per annum (p.a) simple interest? |
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| A sum was put at simple interest at a certain rate for 2 years. |
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| If the rate of simple interest is 12% per annum, the amount |
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| What is the sum of amount which gives Rs. 6300 as interest @ 7% |
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| What is the rate of simple interest at which Rs. 14,000 gives interest |
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| What is the time period for which Rs. 8000 amounts to Rs. 12000 |
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| A man borrrows Rs. 4000 and pays back after 5 years at 15% simple interest. |
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| Top 50 Most Important Profit, Loss and Discount Questions |
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| A trader sold an article at a loss of 5% but when he increased the selling price |
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| Each A and B sold their article at Rs. 1818 but A incurred a loss of 10% |
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| The profit percentage of A and B is same on selling the articles at Rs. 1800 |
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| A bookseller procures 40 books for Rs. 3200 and sells them at a profit |
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| At style cloth emporium the shopkeeper measures 20% less for every metre |
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| A trader can procure 34 pencils by selling 28 pencils. |
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| The selling price of 13 articles is same as the cost price of 23 articles. |
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| The Cost price of 19 articles is same as the selling price of 29 articles. |
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| A balance of a trader weighs 10% less than it should be. |
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| A scientific calculator is available at Universal Shoppe in Hazratganz at 20% discount |
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| Arun bought toffees at 6 for a rupee. How many for a rupee he should sell to gain 20%? |
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| When an article is sold for Rs. 703 loss incurred is 25% less than the profit |
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| A company instead of raising the mark-up by 20% discounted the cost price by 20% |
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| ITC sells one product at a profit of 20% another at a loss of 20% at the same selling price. |
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| The difference between CP and SP of a table fan is Rs. 175 when it gives the profit of 14%. |
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| When a Shopkeeper reduces the selling price from 1080 to 1026 its loss increases by 4 |
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| Pepsi and Coke, there are two companies, selling the packs of cold - drinks. |
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| Titan sells a wrist watch to a wholeseler making a profit of 10%. |
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| By selling a wrist watch at Rs. 405 the shopkeeper incurs a loss of 10%. |
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| 6% more is gained by selling a coat for Rs. 1425 then by selling it for Rs. 1353. |
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| A dealer buys a washing machine, listed at Rs. 10000 and gets 10% and 20% successive discounts. |
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| By selling 12 apples for a rupee, a man loses 20%. How many for a rupee should he sell to gain 20%? |
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| Due to an increase of 30% in the price of eggs, 3 eggs less are available for Rs. 9.10. |
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| A person loses Rs. 20 by selling some bananas at the rate of Rs. 3 per banana |
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| A fruit seller declares that he sells fruits at the cost price. |
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| Two third of a consignment was sold at a profit of 5% and the reminder at a loss of 2%. |
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| A person sold two cows each for Rs. 9900. If he gained 10% on one and lost 20% on the other |
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| An item costing Rs. 200 is being sold at 10% loss. If the price is further reduces by 5% |
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| A merchant marks his goods at Rs. 300 and allows a discount of 25%. |
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| On selling an article for Rs. 240, a trader loses 4%. In order to gain 10% |
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| A trader use a weighing balance that shows 1250 g for a kilogram. |
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| Ragini purchases oranges at Rs. 10 per dozen and sells them at Rs. 12 |
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| A single discount equivalent to three successive discounts of 5%, 10%, 20% is : |
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| The cost price of an article 'A' is Rs. 160 and selling price of another article 'B' is Rs. 240. |
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| An item was sold after giving two successive discount of 20% and 10% respectively. |
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| The marked price of an article is increased by 25% and the selling price is increased by 16.66% |
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| The profit percentage on three articles A, B and C is 10%, 20% and 25% |
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| A trader sells 20 kg of sugar at Rs. 400. A customer asks 20% discount |
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| Mr. Mittal purchased a car for Rs. 3,00,000 and a bike for his son for Rs. 1,00,000. |
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| A shopkeeper sold 12 cameras at a profit of 20% and 8 cameras at a profit of 10%. |
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| Tinkawala purchased the articles for Rs. 123684. He sold 60% of those at a profit of 16.66% |
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| A dealer buys a product at Rs. 1920, He sells at a discount of 20% |
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| A man bought 18 oranges for a rupee and sold them at 12 oranges for a rupee. |
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| What is percentage profit in selling an article at a discount of 20% which was earlier being sold at a 40% profit? |
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| Two articles are sold at the same price. One at a profit of 75% and another one at a loss of 30%. |
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| A retailer bought 20 kg tea at a discount of 10%. |
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| 60% goods are sold at 5% loss while rest are sold at 10% profit. |
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| A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre |
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| A trader sells two articles, one at a loss of 10% and another at a profit of 15% |
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| Abhishek and Bhanu both are dealers of KML scooters. The price of a KML Scooter is Rs. 28,000. |
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| In the Chidambaram's family the ratio of expenses to the savings is 5 : 3. |
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| A fraction is reduced form is such that when it is squared and then its numerator |
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| Top 50 Most Important Percentages Questions |
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| Top 50 Most Important Ratio, Proportion and Variation Questions |
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| In a mixture of petrol and kerosene, petrol is only 99 litres. |
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| Sometimes ago in a Cinema hall a blockbuster movie was being shown. |
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| Half of the volume of petrol and kerosene mixture of ratio 7 : 5 |
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| A man bought 9 mangoes for a rupee and sold them at 6 mangoes for a rupee. |
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| Sachin bought 1.5 kg fresh grapes. The ratio of water is to pulp was 4:1. |
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| A three digit number is such that this number itself is divisible by the sum of its digits. |
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| There are two containers A and B filled with mentha oil with different prices |
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| A tin contains a mixture of Dew and Sprite in the ratio of 7 : 3 |
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| x varies directly as (y² +z²). At y = 1 and z = 2, the value of x is 15. |
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| x varies directly as y and x varies indiretly as the square of z. |
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| The ratio of numerator to a denominator of a fraction is 1/5 when x and 5x |
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| 10 years ago the age of Karishma was 1/3rd of the age of Babita. |
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| A rabit takes 22 leaps for every 17 leaps of a cat and 22 leaps of a rabit are equal |
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| The ratio of prices of Cello and Rotomac pens in 2000 were in the ratio of 3 : 5. |
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| A girl buys 2 pigeons for 182. She sells one at a loss of 5% and another at a profit of 8%. |
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| Petrol is 7 times heavy than kerosene and castrol Mobil is 18 times as heavy as Kerosene. |
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| In a wallet the ratio of 25 paise, 50 paise and Re. 1 coins are in the ratio of 12 : 4 : 3 |
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| 16 persons can reap 1/5th field in 6 days. How many persons (with same efficiency) |
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| 6 pumps of kirlosker can fill a tank in 7 days and 2 similar pumps of USHA |
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| Five numbers a, b, c, d and e are in the ratio of 2 : 3 : 5 : 8 : 9 |
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| When 5 is added to numerator and denominator both of a (positive) fraction |
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| The ratio of ages of Rahul and Deepesh is 3 : 5. 10 years later this ratio becomes 5 : 7. |
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| a : b = 4 : 9. If 4 is added to both of the numbers then the new ratio becomes 21 : 46. |
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| The ratio of age of A and B is x : y. If A's age is increased by 3 years |
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| Divide Rs. 6940 in such a way that A gets (2/3)rd of what B gets |
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| The speeds of rickshaw, car and scooter are in the ratio of 3 : 5 : 6. |
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| Rs. 960 were distributed among A, B, C and D in such a way that C and D |
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| The ratio of third proportional to 21 and 42 and mean proportional to 16 and 49 is ? |
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| A hotel incurs two types of expenses, one which is fixed and others depend upon no. of guests. |
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| A milk man has a mixture of milk in which ratio of milk and water is 5 : 3. |
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| The ratio of age of A and B is 8 : 9 and the age of B is 2/3 of C's age and age of C is 9/13 |
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| Equal quantities of three mixtures of milk and water are mixed in the ratio |
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| If 4A = 5B and 3A = 2C then the ratio of B : C is : |
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| Nehru Ji had 'n' chocolates. He distributed them among 4 children in the ratio 1/2 : 1/3 : 1/5 : 1/8. |
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| The ratio of working efficiency of A and B is 5:3 and the ratio of efficiency of B and C is 5:8. |
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| There are two vessels containing the mixture of milk and water. In the first vessel the water is 2/3 |
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| In Ruchika's wallet there are Rs. 16, consisting of 10 paise, 20 paise and Re. 1 coins. |
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| The value of diamond is directly proportional to the square of its weight. |
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| During our campaign against child labour we have found that in three glass making factories |
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| In the Squadron of Indian Air Force the ratio of Sukhoi is to Mig and Jaguar together is 5:7 |
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| In a milk shoppe there are three varieties of milk, ‘pure’, ’Cure’ and ‘Lure’. |
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| The concentration of petrol in three different mixtures (petrol and kerosene) |
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| Rs. 4536 is divided among 4 men, 5 women and 2 boys. The ratio of share of a man, a woman |
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| Mr. Teremere and Mr. Meretere have 5 chocolates and 3 chocolates with them respectively. |
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| A child has three different kinds of chocolates costing Rs. 2, Rs. 5 and Rs. 10. |
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| Hutch and Essar entered into a partnership just 5 months ago. |
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| The ratio of income of Anil and Mukesh is 2 : 3. The sum of their expenditure is Rs. 8000 |
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| Four numbers are in proportion. The sum of the squares of the four numbers is 50 |
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| A student obtained equal marks in History and Sociology. The ratio of marks in Sociology |
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| If 40 articles cost Rs. 180, the cost of 18 articles is : |
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| In the Awadh school Gomti Nagar, there are 500 students. |
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| The population of a village is 5,000 and it increases at the rate of 2% every year. |
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| In the Regional Science center, Lucknow the rate of the ticket is increased by 50% |
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| A college has raised 75% of the amount it needs for a new building |
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| In Veeru Bhai Pvt. limited company 60% of the employees are men |
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| A salesman gets commission on total sales at 9%. if the sale is exceeded Rs.10,000 |
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| Last year in CAT, each section of the question paper had a different weightage. |
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| The average weight of a class of students is 67.5 kg. |
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| Hariharan goes to a shop to buy an FM Radio costing Rs. 1404, including sales tax of 8%. |
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| An alloy contains the copper and aluminum in the ratio of 7 : 4 |
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| In a class of MBA students 16.66% students are from commerce background, |
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| In a library 60% of the books are in Hindi, 60% of the remaining books are in English |
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| In an examination a candidate got 30% marks and failed by 30 marks. |
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| The shopkeeper increased the price of a product by 25% so that customer |
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| 80% of a smaller number is 4 less than 40% of a larger number. |
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| The monthly salary of shahid and kareena together is $28000. |
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| The square of a positive number is 2000% greater than the number itself, then the square |
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| The cost of a car is 400% greater than the cost of a bike. If there is an increase in the cost |
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| Three candidates A, B and C contested an election. Out of these total votes on a voter list 25% |
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| In the New Stock Exchange there are 45% female employees |
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| Abhinav scores 80% in physics and 66% in chemistry and the maximum marks |
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| The cost of packaging of the mangoes is 40% the cost of fresh mangoes themselves. |
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| The actual area of a rectangle is 60 Cm^2, but while measuring its length a student |
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| Lagaan is levied on the 60% of the cultivated land. The revenue department collected a total Rs. 3,84,000 through the lagan from the village of Sukhiya. |
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| My salary is Rs. 12,345 per month. The salary of my brother is 10% greater than that of mine. |
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| In an examination 70% of the candidates passed in History and 50% in Geography |
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| 600 students took the test on physics and chemistry. 35% students failed in physics |
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| In my office there are 30% females employees and 30% of these earn greater than Rs. 8,000 |
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| 40% of the no. when added to the square of the same number, |
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| The price of a car depreciates in the first year by 25% in the second year by 20% |
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| In our Singapore office there are 60% female employees. 50% of all the male employees are computer literate |
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| Out of a no. of electronics items, a person purchases 60% coloured TVs. |
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| When 40% of a number is added to 42, the result is the number itself. The number is : |
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| A's salary is half of B. If A got a 50% rise in his salary and B got a 25% rise in his salary, |
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| Two candidates fought an election. One got 65% of the votes and won by 600 votes. |
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| The price of an item is increased by 20% and then decreased by 20% . |
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| In an examination 52% of the candidates failed in Science 42% in Mathematics and 17% in both. |
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| If the cost of the calculator worth Rs 250 is increased by Rs. 100, the rate of increase is |
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| A is 75% less than B and C is 75% of the difference between A and B |
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| Two persons A and B are paid a total of Rs. 2,040 per week by their employer. |
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| A is 40% more than B and B is 60% less than C. If C is 60% more than D |
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| If A is 48% more than B and C is 60% less than the sum of A and B, |
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| If A’s income is 40% of B’s income and B’s income is 24% more than C’s income |
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| A is 40% less than B, and C is 40% of the sum of A and B. |
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| Nidhi scored 62 marks in mathematics, 70 in English, 74 in Science. |
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| A spends 24% on domestic expenditure, 16% on entertainment 12% on education |
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| How much percent is 3 cm in 12 m? |
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| A number which, when increased by 16% becomes 1914. The number is : |
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| What is percentage and How to calculate it ? |
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| A sum of Rs.11200 is shared among Mr. Khare, Mr. Patel and Mr. Verma. Mr. Khare |
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| Mrs. Verma earns Rs.18000 per month. She spends 7/12 on household items |
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CAT2IIM Quantitative Aptitude