AILET entrance exam Question Bank Solutions for Mathematics

A person bought two bicycles for ₹1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit, he would get ₹5 more. The difference in the cost price of the two bicycles was

A person sold a table at a gain of 15%. Had he bought it for 25% less and sold it for ₹60 less, he would have made a profit of 32%. The cost price of the table was

An article is sold at a loss of 5% If it is sold at ₹72 more, then there would be a profit of 4%. What is the actual price of the article?

A man buys an article and sells it at a loss of 10%. Had he bought it for 20% less and sold it for ₹55 more, he would have made a profit of 40%. The cost price of the article is

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

Gita sold her watch to Sita for ₹800 at a loss of 20%. The same watch was sold to Gita by Shakti at 20% loss. What is the actual price of watch?

Solve the following question and mark the best possible option.
Jogen's taxable income for 2010-11 is Rs. 5,00,000. The tax rates are (i) nil for first 1,50,000, (ii) 10% for 150,001-3,00,000, and (iii) 20% for the remaining. His Tax liability is:

Find 12% of 5000

Solve the following question and mark the best possible option.
In a factory, the production of scooters rose to 48400 from 40000 in 2 years. The rate of growth per annum is:

ln a certain class, 72% of the students prefer cold coffee and 44% prefer fruit juice. lf each of them prefers cold coffee or fruit juice and 48 likes both, the total number of students in the class is

A wooden almirah is sold at a certain price. By selling it at 2/3 of that price one loses 10%. Find the profit percent at the original price

The petrol prices shot up by 7% as a result of the hike in the price of crudes. The price of petrol before the hike was ₹28 per litre. Vawal travels 2400 kilometers every month and his car gives a mileage of 18 kilometers to a litre. Find the increase in the expenditure that Vawal has to incur due to the increase in the price of petrol (to the nearest rupee)?

Two cubes of bronze have a 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 percent more zinc than the first?

Two solutions of 90% and 97% purity are mixed resulting in 21 litres of a mixture of 94% purity. How much is the quantity of the first solution in the resulting mixture?

A man sells 5 articles for ₹15 and makes a profit of 20%. Find his gain or loss percent if he sells 8 such articles for ₹18.40.

Which one of the following is the same as 30% of 40% of 560?

In an examination, every candidate took either Physics or Mathematics or both. 84% of the candidates took Physics and candidates who took Mathematics were half of those who took Physics. The total number of candidates being 1000, how many took both Physics and Mathematics?

A company declares a dividend of 12% on ₹100 shares. A housewife buys such shares and gets 15% on her investment. At what price she bought the shares?

The price of an article is cut by 10%. To restore it to the original value, the new price must be increased by

In an examination, a student who secured 25% of the maximum marks fails by 60 marks but another candidate who secures 45% of the maximum marks gets 10 marks more than required passing marks. The maximum number of marks is