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AILET entrance exam Question Bank Solutions for Mathematics

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Mathematics
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A shopkeeper mixes two varieties of Tea, one costing ₹40/kg and another ₹50/kg in the ratio 3: 2. If he sells the mixed variety of Tea at ₹48/kg, his gain or loss percent is

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Publisher sells books to a retailer at a marked price which is 20% above his outlay. If on cash payment, he allows a discount of 10% goes the marked price. The publisher thus gains

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Devendra, a computer accessories vendor gave a discount of 20% on a pen-drive and his profit reduced from ₹200 to ₹100. What is Devendra’s cost price?

[1] Quantitative Techniques
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A and B started a business with a total capital of ` 30,000. At the end of the year, they shared the profit in the ratio of their investments. If their capitals were interchanged, then A would have received 175% more than what he actually received. Find out the capital of B.
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A shirt was sold at a profit of 15%, If its cost had been 5% less and it had been sold for ₹21 less, then the profit would have been 10%. Find the cost of the shirt.

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Amrit wants to sell cars at 25% above the cost price. Due to a slump in the market, his cost reduces by 5%. He thus offers a discount of 8% due to which the sales go up by 25%. Compute the change in Amrit’s profit.

[1] Quantitative Techniques
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A shopkeeper sells one transistor for ₹ 840 at a gain of 20% and another for ₹ 960 at a loss of 4%. His total gain or loss percent is

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100 oranges are bought at the rate of ₹ 350 and sold at the rate of ₹ 48 per dozen. The percentage of profit or loss is

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When a plot is sold for ₹ 18700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

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In a certain store, the profit is 320% of the cost. If the cost increases by 25%, but the selling price remains constant, approximately what percentage of the selling price is the profit?

[1] Quantitative Techniques
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If the selling price is doubled and the profit triples, find the profit percent.

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The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is

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Some articles were bought at 6 articles for ₹ 5 and sold at 5 articles for ₹ 6. Gain percent is

[1] Quantitative Techniques
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A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of ₹ 392, what was his profit?

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The percentage of profit earned by selling an article for ₹1920 is equal to the percentage loss incurred by selling the same article for ₹1280. At what price should the article be sold to make a 25% profit?

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A dealer marks the price of all the goods at 30% above the cost price and assumes that he will make a profit of 15% if he offers a discount of 15%. Find what will be his actual profit on sales?

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By selling an article at 80% of its marked price a trader makes a loss of 10%, what will be a profit percentage if he sells it at 95% of its marked price?

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By selling an article at `3/4`th of the marked price, there is a gain of 25%. The ratio of the marked price and the cost price is

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A seller marks his good 30% above their cost price but allows a 15% discount for cash payment. His percentage of profit, when sold in cash, is

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Selling an item for ₹1800 at a discount of 10% a shopkeeper had a gain of ₹200. Had he sold the item without discount the percentage of profit would have been

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