CAT Profit, Loss & Discount Questions

A shopkeeper offers a discount of 22% on the marked price of each chair, and gives 13 chairs to a customer for the discounted price of 12 chairs to earn a profit of 26% on the transaction. If the cost price of each chair is Rs 100, then the marked price, in rupees, of each chair is

The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in rupees, of the product 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

Bina incurs 19% loss when she sells a product at Rs. 4860 to Shyam, who in turn sells this product to Hari. If Bina would have sold this product to Shyam at the purchase price of Hari, she would have obtained 17% profit. Then, the profit, in rupees, made by Shyam is

Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on that marked price, and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is

Gita sells two objects $A$ and $B$ at the same price such that she makes a profit of $20 \%$ on object $A$ and $a$ loss of $10 \%$ on object $B$. If she increases the selling price such that objects $A$ and $B$ are still sold at an equal price and a profit of $10 \%$ is made on object $B$ , then the profit made on object A will be nearest to

The monthly sales of a product from January to April were 120, 135, 150 and 165 units, respectively. The cost price of the product was Rs. 240 per unit, and a fixed marked price was used for the product in all the four months. Discounts of 20%, 10% and 5% were given on the marked price per unit in January, February and March, respectively, while no discounts were given in April. If the total profit from January to April was Rs. 138825, then the marked price per unit, in rupees, was

Minu purchases a pair of sunglasses at Rs. 1000 and sells to Kanu at $20 \%$ profit. Then, Kanu sells it back to Minu at $20 \%$ loss. Finally, Minu sells the same pair of sunglasses to Tanu. If the total profit made by Minu from all her transactions is Rs. $500$ , then the percentage of profit made by Minu when she sold the pair of sunglasses to Tanu is

Jayant bought a certain number of white shirts at the rate of Rs 1000 per piece and a certain number of blue shirts at the rate of Rs 1125 per piece. For each shirt, he then set a fixed market price which was $25 \%$ higher than the average cost of all the shirts. He sold all the shirts at a discount of $10 \%$ and made a total profit of Rs $51000$. If he bought both colors of shirts, then the maximum possible total number of shirts that he could have bought is

A merchant purchases a cloth at a rate of Rs. 100 per meter and receives $5 \mathrm{~cm}$ length of cloth free for every $100 \mathrm{~cm}$ 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 $95 \mathrm{~cm}$ length of cloth for every $100 \mathrm{~cm}$ length of cloth purchased by the customers. If the merchant provides a $5 \%$ discount, the resulting profit earned by him is

Amal buys $110 \mathrm{~kg}$ of syrup and $120 \mathrm{~kg}$ of juice, syrup being 20% less costly than juice, per kg. He sells $10 \mathrm{~kg}$ of syrup at 10% profit and $20 \mathrm{~kg}$ of juice at $20 \%$ profit. Mixing the remaining juice and syrup, Amal sells the mixture at Rs. $308.32$ per kg and makes an overall profit of $64 \%$. Then, Amal's cost price for syrup, in rupees per kg, is

Amal purchases some pens at ₹ 8 each. To sell these, he hires an employee at a fixed wage. He sells 100 of these pens at ₹₹$12$ each. If the remaining pens are sold at ₹$11$ each, then he makes a net profit of ₹$300$ , while he makes a net loss of ₹$300$ if the remaining pens are sold at 9 each. The wage of the employee, in INR, 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

One part of a hostel's monthly expenses is fixed, and the other part is proportional to the number of its boarders. The hostel collects 1600 per month from each boarder. When the number of boarders is $50$ , the profit of the hostel is 200 per boarder, and when the number of boarders is $75$ , the profit of the hostel is 250 per boarder. When the number of boarders is $80$ , the total profit of the hostel, in INR, will

A person spent Rs 50000 to purchase a desktop computer and a laptop computer. He sold the desktop at $20\%$ profit and the laptop at $10\%$ loss. If overall he made a $2\%$ profit then the purchase price, in rupees, of the desktop is

Anil buys 12 toys and labels each with the same selling price. He sells 8 toys initially at $20 \%$ discount on the labeled price. Then he sells the remaining 4 toys at an additional $25 \%$ discount on the discounted price. Thus, he gets a total of Rs $2112,$ and makes a $10\%$ profit. With no discounts, his percentage of profit would have been

A man buys 35 kg of sugar and sets a marked price in order to make a $20\%$ profit. He sells 5 kg at this price, and 15 kg at a $10\%$ discount. Accidentally, 3 kg of sugar is wasted. He sells the remaining sugar by raising the marked price by $p$ percent so as to make an overall profit of $15\%$. Then $p$ is nearest to

Mukesh purchased 10 bicycles in $2017$ , all at the same price. He sold six of these at a profit of $25 \%$ and the remaining four at a loss of $25 \%$. If he made a total profit of Rs. $2000,$ then his purchase price of a bicycle, in Rupees, was

A shopkeeper sells two tables, each procured at cost price $p$ , to Amal and Asim at a profit of $20\%$ and at a loss of $20\%$ , respectively. Amal sells his table to Bimal at a profit of $30\%$ , while Asim sells his table to Barun at a loss of $30\%$. If the amounts paid by Bimal and Barun are $x$ and $y$ , respectively, then $(x -y) / p$ equals

Two types of tea, $A$ and $B$ , are mixed and then sold at Rs. 40 per kg. The profit is $10 \%$ if A and B are mixed in the ratio $3: 2$ , and $5 \%$ if this ratio is $2: 3$. The cost prices, per kg , of $A$ and $B$ are in the ratio

A wholesaler bought walnuts and peanuts, the price of walnut per kg being thrice that of peanut per kg . He then sold $8 \mathrm{~kg}$ of peanuts at a profit of $10 \%$ and $16 \mathrm{~kg}$ of walnuts at a profit of $20 \%$ to a shopkeeper. However, the shopkeeper lost $5 \mathrm{~kg}$ of walnuts and $3 \mathrm{~kg}$ of peanuts in transit. He then mixed the remaining nuts and sold the mixture at Rs. 166 per kg, thus making an overall profit of $25 \%$. At what price, in Rs. per kg, did the wholesaler buy the walnuts?

The manufacturer of a table sells it to a wholesale dealer at a profit of $10 \%$. The wholesale dealer sells the table to a retailer at a profit of $30\%$. Finally, the retailer sells it to a customer at a profit of $50\%$. If the customer pays Rs 4290 for the table, then its manufacturing cost (in Rs) is

Mayank buys some candies for Rs 15a dozen and an equal number of different candies for Rs 12a dozen. He sells all for Rs $16.50$ a dozen and makes a profit of Rs $150$. How many dozens of candies did he buy altogether?