Quant Aptitude
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Golden rule: the base is always the original quantity.
Profit / loss is always on Cost Price (CP) unless stated otherwise.
A software engineer has a target package of Rs. 30,00,000 per annum. Upon receiving it, he invests 20% of his salary in mutual funds, 15% of the remaining amount in fitness equipment, and 30% of the further remaining amount on rent and living expenses. If he saves the rest, what is his annual savings?
In an election for a college tech council, Candidate A received 45% of the total valid votes. 20% of the total votes polled were declared invalid. If the total number of votes polled was 15,000, find the number of valid votes secured by Candidate B (assuming there are only two candidates).
The monthly subscription price of a MERN stack development course was decreased by 25%, which led to a 40% increase in the number of students enrolling. Find the net percentage increase or decrease in the total revenue.
A developer launches a new SaaS platform called Codify. He marks the subscription price 40% above the actual cost of hosting and maintenance. If he offers a discount of 15% to his early-bird users, what is his actual profit percentage?
A manufacturer sells a laptop to a wholesaler at a profit of 20%. The wholesaler sells it to a retailer at a profit of 25%, and the retailer sells it to a customer for Rs. 54,000, earning a profit of 20%. What was the original manufacturing cost of the laptop?
A merchant mixes 20 kg of premium whey protein bought at Rs. 1200 per kg with 30 kg of standard whey protein bought at Rs. 1500 per kg. At what price per kg should he sell the final mixture to gain an overall profit of 20%?
The difference between the compound interest (compounded annually) and the simple interest on a certain sum of money for 2 years at 8% per annum is Rs. 128. Find the principal sum.
What will be the compound interest on a sum of Rs. 16,000 for 1.5 years at 10% per annum, if the interest is compounded half-yearly?
A sum of money placed at simple interest triples itself in 8 years. In how many years will it become 5 times of itself at the exact same rate of interest?
A man borrowed Rs. 21,000 at 10% per annum compound interest. If the debt is to be completely discharged in two equal annual installments, what is the value of each installment?
What is 62.5% of 480?
A's salary is 20% more than B's. By what percentage is B's salary less than A's?
A salary is raised by 10% and then by another 20%. What is the total percentage increase?
The price of cooking oil rises by 60%. By what percentage must a family reduce its consumption to keep its expenditure unchanged?
The population of a town is 50,000 and grows at 4% per year. What will it be after 2 years?
A student scored 456 marks out of 600. What percentage did he score?
The salary of a person is reduced by 20%. By what percentage must the new salary be increased to restore the original salary?
In a town, 65% of the people read newspaper A, 40% read newspaper B and 25% read both. What percentage read neither?
If 40% of a number is 72 more than 25% of the same number, what is 55% of the number?
In a college, 60% of the students are boys. 30% of the boys and 45% of the girls own a laptop. What percentage of all the students own a laptop?
The price of a phone was increased by 20% and later reduced by 20%. If the final price is Rs. 19,200, what was the original price?
The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What happens to its area?
Two successive increases of x% each are equivalent to a single increase of 44%. What is x?
A share price rises by 30%, then falls by 20%, and then rises by 5%. What is the net percentage change?
The price of petrol falls by 12.5%. By what percentage can a motorist increase consumption without spending more?
The price of milk rises by 25% and then by another 20%. By what percentage must a household cut its consumption overall to keep its milk bill the same?
In an election between two candidates, the winner received 58% of the valid votes and won by 1,120 votes. How many valid votes were cast?
A student who scores 30% of the maximum marks fails by 25 marks, while another who scores 42% gets 35 marks more than the pass mark. What percentage of the marks is needed to pass?
A laptop loses 20% of its value every year. If it is worth Rs. 30,720 after 3 years, what was its original price?
A town's population grew by 5% in the first year, fell by 10% in the second year and grew by 20% in the third year. If the population is now 22,680, what was it three years ago?
In an examination, 35% of the students failed in Mathematics, 25% failed in English and 10% failed in both. What percentage of students passed in both subjects?
A man spends 75% of his income. His income increases by 20% and his expenditure increases by 10%. By what percentage do his savings increase?
A's income is 25% less than B's, and C's income is 20% more than A's. By what percentage is B's income more than C's?
A 20% rise in the price of rice means a buyer gets 5 kg less for Rs. 1,200. What is the new price per kg?
In an election between two candidates, 10% of the registered voters did not vote and 5% of the votes cast were invalid. The winner got 60% of the valid votes and won by 8,550 votes. How many voters were registered?
In an election among three candidates, A received 40% of the votes, B received 25% more votes than C, and all votes were valid. If C received 4,800 votes, by how many votes did A beat B?
A city's population of 50,000 grows by 10% each year, but at the end of every year (after the growth) 2,000 people move away. What will the population be after 2 years?
The price of sugar increased by 32%. A family reduced its consumption so that its expenditure on sugar increased by only 10%. By what percentage did the consumption decrease?
A bag bought for Rs. 1,250 is sold for Rs. 1,450. What is the profit percentage?
An article costing Rs. 840 is sold at a loss of 15%. What is its selling price?
Successive discounts of 20% and 15% are equivalent to a single discount of:
The cost price of 18 pens equals the selling price of 15 pens. What is the profit percentage?
A dealer claims to sell at cost price but uses a 950 g weight in place of 1 kg. What is his gain percentage?
A man buys an article for Rs. 27.50 and sells it for Rs. 28.60. What is his gain percent?
If the cost price of 20 articles is equal to the selling price of 25 articles, what is the loss percent?
By selling a chair for Rs. 1,380, a carpenter gains 15%. At what price should he sell it to gain 25%?
A sells a bicycle to B at a 20% profit, and B sells it to C at a 25% profit. If C pays Rs. 225 more than B paid, how much did A pay for the bicycle?
A retailer's profit is 20% of the selling price. What is his profit as a percentage of the cost price?
A trader wants to earn a 26% profit even after giving a 10% discount. By what percentage above the cost price should he mark his goods?
An article costs Rs. 1,800. It is sold at a discount of 16% on its marked price and still earns a 12% profit. What is the marked price?
A jacket marked Rs. 4,000 carries a flat 30% discount plus an extra x% off at checkout. If the final price is Rs. 2,520, what is x?
A seller loses 12% by selling a phone at a certain price. Had he sold it for Rs. 1,500 more, he would have gained 8%. What is the cost price?
Two laptops were sold for Rs. 39,600 each - one at a 20% profit and the other at a 20% loss. What is the overall result?
A person bought two phones for a total of Rs. 30,000. He sold one at a 15% profit and the other at a 10% loss, and made neither profit nor loss overall. What was the cost price of the phone sold at a profit?
A vendor buys bananas at 6 for Rs. 10 and sells them at 4 for Rs. 8. What is his profit percentage?
A shopkeeper sells rice at a 10% profit and also uses an 800 g weight in place of 1 kg. What is his overall gain percentage?
A trader sells goods at cost price but still gains 25% by using a faulty weight. How many grams does his '1 kg' weight actually contain?
A shopkeeper allows a discount of 10% on the marked price and still makes a profit of 20%. If the cost price is Rs. 450, what is the marked price?
A man sold two articles at Rs. 1,000 each. On one he gained 25% and on the other he lost 25%. What is his net result?
A trader marks his goods 40% above the cost price and allows a discount of 25%. What is his profit or loss percent?
A shopkeeper marks his goods 50% above the cost price and then offers 'Buy 3, Get 1 Free'. What is his profit percentage?
A shopkeeper gives a 10% discount on the marked price and still gains 17%. If he had given a 20% discount instead, what would his profit percentage have been?
An article is sold at a 10% profit. Had it been bought for 10% less and sold for Rs. 44 less, the profit would have been 20%. What is its cost price?
By selling 33 metres of cloth, a shopkeeper gains the selling price of 11 metres. What is his gain percentage?
A trader cheats by 10% both while buying and while selling: he takes 1,100 g for every 1 kg he pays for, and gives only 900 g for every 1 kg he charges for. What is his total gain percentage?