57. A trader bought 44 kg of potato and marked the price up by 20%. He sold 7 kg of potato at the marked price and 15 kg of potato at 10% discount. Unfortunately, 8 kg of potato was partly rotten in transit and hence had to be sold at a price which was 60% lower than the cost price. The remaining potatoes were sold by raising the marked price by x% so as to earn an overall profit of 9%. The value of x is:
58. A furniture shop has a chair, a table and a cot on sale. The price of the table is 50% more than the combined price of the chair and the cot. The shop owner offers discounts of 10% on chair, 20% on cot and 25% on table. The revised prices of the chair and the cot are in the ratio 3: 8. If the difference of the revised prices of the chair and the cot is Rs 3000, then the difference of the original prices of the table and the chair, in Rs, is:
59. A trader sells identical pens. He sold 60% of his stock at 20% discount on the labelled price and sold the rest of the stock at an additional 20% discount on the discounted price. Overall, the trader makes a 25% profit. With no discounts, his percentage of profit would have been nearest to:
60. A carpenter manufactured a chair and a table. The cost of the chair and table together is Rs 12000. He sold the chair at 12% profit and the table at 8% loss. If overall he incurs a loss of 0.5% then find the cost price of chair (in Rs).
61. A person mixes coffee of 3 different qualities at prices Rs. 40, Rs. 50, Rs. 60 per kg in the ratio of 2: 3: 5. If he offers a discount of 20% on the marked price and incurs a loss of 4%. What is the marked price (in Rs.) of the mixture?
62. The marked price of an article is Rs. 5,000. If two successive discounts of x% and (x + 1)%, on the marked price is equal to a single discount of Rs. 1,430, then what will be the selling price (in Rs.) of the article if a single discount of x% is given on the marked price?
63. A dishonest shopkeeper mixes 250 grams of sand in 1 kilogram of rice. 350 grams of the mixture is spilled during transportation. He then uses a faulty balance that reads 1 kilogram for 800 gram while selling the mixture which is listed at the cost price of rice. If rice costs Rs. 70 per kg and sand costs Rs. 20 per kg, what is his overall profit/loss percentage during the entire transaction?
64. A shopkeeper hiked the price of an article by x% and then gave x% discount and the price of the article decreased by Rs.3,000. Once again, the price of the article was increased by x/2% and then decreased by x/2% and it was finally sold at Rs.71,280. What can be the initial price of the article?
65. A fruit vendor bought some apples and some oranges. He bought some apples at the rate of Rs.192 per dozen and 3 times as many oranges at the rate of Rs.96 per dozen. One-sixth of the apples and one-fifth of the oranges got spoilt. He sold the remaining apples at Rs.216 per dozen and the remaining oranges at Rs.180 per dozen. Find his profit or loss percentage.
66. Two types of rice P and Q are mixed and then sold at Rs. 60 per kg. The profit is 20% if P and Q are mixed in the ratio 4: 3, and profit is 10% if this ratio is 3: 4. Find the ratio of cost prices per kg of P and Q.
67. Chinu, a fruit vendor, sold 12 coconuts, all of which are of the same cost price, such that profit percentage on no two coconuts is the same. The profits made on the given coconuts were in an arithmetic progression. If the profit percentage of the coconut with 5th highest and 8th highest selling price were 14% and 11% respectively, find the profit percentage on the whole.
68. The selling price of one apple is equal to the cost price of 7 bananas. The fruit vendor gains 40% from sales of apples and 60% from sales of bananas. If he sells one banana and one apple, then find his overall profit%.
69. A milkman adds 10 litres of water to a can of milk that has 100 litres of pure milk. At what price per litre should he sell the mixture of milk and water so as to earn a profit of 32%, if he bought pure milk at Rs. 50 per litre and water is available for free?
70. A shopkeeper makes a loss of 2.5% if a discount of 25% on the Marked Price of the folder is offered. If the Cost Price of ‘n’ folders is the same as the Marked Price of 10 folders, what is the value of ‘n’?
71. Ravi has 100 ml of ‘alcohol free’ hand sanitizer costing Rs. 441. He mixes ‘x’ ml of 77% alcohol-based hand sanitizer at Rs. 494 per litre. He now sells this mixture at Rs. 102 per 100 ml and thereby earns 20% profit. Find the alcohol percentage in the mixture.
72. A dishonest shopkeeper uses two different scales while buying and selling the goods. Both the scales are faulty. While buying he uses a scale that shows 900 gm per kg of the goods bought. Similarly, while selling, he uses a scale that shows 1100 gm per kg of the goods sold. What is his profit percent, if he claims to sell the goods at cost price?
73. Both Ram and Laxman bought merchandise worth Rs. 1000. Ram marked the price up by ‘3p’% and offered a discount of ‘2p’%, while Laxman marked the price up by ‘2p’% and offered a discount of ‘p’%. If Laxman made a profit of Rs. 40 more than that made by Ram, what is the value of ‘p’, where p > 0?
74. A watch trader bought ‘n’ watches, which he intended to sell so as to earn 10% profit. However, four watches were damaged and hence could not be sold. If the trader hikes the Selling Price of each watch by 25%, he would still make 10% profit. What is the value of ‘n’?
75. A shopkeeper sold two objects at the same price and made overall profit of 44% on the transaction. If he made a profit of 80% on one object, how much percent profit/loss did he make on the other?
76. The manufacturer of a laptop sells it to a distributor at a profit of 12.5%. The distributor sells the laptop to a retailer at a profit of 11.11%. The retailer puts a price tag which increases the price of the laptop by 33.33%. The retailer offers a 12.5% discount on the marked price and ultimately sells it to its customer at Rs. 35000. What is the cost (in Rs.) of manufacturing of the laptop?
77. Importers import olive oil at a cost which is 5 times that of imported sunflower oil. They sell olive oil and sunflower oil to local traders at a profit of 162⁄3% and 25% respectively. A local trader bought 5 liters of olive oil and 24 liters of sunflower oil. Due to storage problem, 1 litre olive oil and 4 liters sunflower oil was spoiled. The trader sold rest of olive oil at Rs. 900 per litre and sunflower oil at Rs. 175 per litre to just recover his total cost on buying two types of oils. What is the cost of olive oil per litre (in Rs.) at which it is imported?
78. Two types of edible oil, X and Y, are mixed and sold at Rs. 231 a litre. If X and Y are mixed in the ratio 7: 11, the profit is 10%. On the other hand, if X and Y are mixed in the ratio 11: 7, the profit is 5%. Find the average of the cost price of oil X and that of oil Y (in Rs.).
79. Ashish bought a TV and a Washing Machine for Rs. 10000 and Rs. 20000 respectively. He marks up the price of TV by 25% and sells it. On the marked-up price of the washing machine, he gave a discount of 25%. If the profit earned in both the transactions is equal, by how much percent does he mark up the price of the Washing Machine?
80. If the cost price of 5 identical articles is equal to the selling price of 4 articles, what is the percent profit made?
81. Henna purchased 18 bottles. She sold six of these bottles at a profit of 36%, half of the remaining at a profit of 20% and the rest at Rs. 160 per bottle. Her overall profit was 12%. How much amount was spent by Henna to purchase these 18 bottles?
82. A shopkeeper claims that he sells rice at the cost price. However, he uses an 800 g weight for measuring 1 kg. On a particular day a customer bought 1.25 kg of rice at 20% discount. What is the shopkeeper’s overall profit/loss percentage on the whole transaction?
83. Both Ajay and Vijay sold goods worth Rs. 9600 in a day. Both claimed that they made a profit of 20%. Ajay calculated his profit on his Cost Price while Vijay calculated his profit on his Selling Price. Who actually made more profit? By how many rupees?
84. A fruit seller bought 100 boxes of mangoes. Each box has 5 dozen of mangoes. The market price of the mangoes is Rs. 600 per dozen. However, he decided to offer a discount of 20% on the market price so as to earn a profit of Rs. 10 per mango. However, he realized that out of the mangoes bought, 20 dozen of mangoes were rotten and hence could not be sold. Therefore, he decided to offer a lower discount of x% instead of 20% so that he would still earn the desired profit of Rs. 10 per mango bought. Find the value of ‘x’.
85. A vegetable vendor purchased 100 kg of lemons of type 1 and 60 kg of type 2. Cost price (per kg) of type 2 lemons is 20% less than that of type 1 lemons. After mixing the two types of lemons, he sold them at Rs. 95 per kg and thereby earns Rs. 400 after selling all the lemons. What must be the cost (per kg) of lemons of type 1?
86. A shopkeeper sold a mobile cover and a screen guard to Anant at 5% discount and 50% discount respectively and had a total loss of Rs. 300. Instead, had he given a discount of 10% on both the items, he would have had a total profit of Rs. 250. If the Marked Price of the screen guard is Rs. 500 more than that of the mobile cover, what must be the cost price (in Rs.) of both the items together?
87. A shopkeeper buys 700 pens for Rs. X per pen. He sells these 700 pens at Rs. Y per pen and with the revenue so generated, he buys another identical 1000 pens at Rs. X per pen, which he sells again at Rs. Y per pen. What would be his overall profit percentage on selling 1700 pens?
88. A bookseller sells books at a discount of 30%. Additionally, if a customer purchases 3 books at a time, he gives a pen, which costs him Rs.50, free apart from the discount. One day, only three customers visit his shop – one of them buys 3 books and the other two buy one book each. The profit earned by the bookseller on that day is 20%. If each book costs Rs. 200 to the bookseller, then what is the mark-up percentage?
89. Jerome brought two mobile phones having different prices for a total cost of Rs. 60,000. By selling one for 3/4 of its cost price and another for a profit of 25%, he earned a profit of Rs. 5,000 on the whole transaction. Find his % profit if he had sold the phone with the lower price at no profit and no loss.
90. A pair of shoes costs 12 times the cost of a pair of socks. The shopkeeper earns a profit of 10% from the sale of the pair of shoes whereas the total profit from selling both the shoes and the socks was 15%. If there is a profit of Rs.45 on selling the pair of socks, then find the selling price (in Rs.) of the pair of shoes.
91. Aman purchased two items A and B and invested Rs. 50 and Rs. 75 on their maintenance respectively. If he suffers a loss of 10% on A and 12% on B, overall loss suffered by him is Rs. 84. But if he earns 20% on A and 10% on B, overall profit earned by him is 14% of total price of items. Find initial total purchasing price (in Rs.) of both the items.
92. A fuel merchant purchased 30 litres of petrol at Rs.50 per litre and sold 22 litres of it at Rs.55 per litre. To the remaining petrol, he added 40% kerosene, the cost of which is Rs.15 per litre. If he sold this new mixture at the same rate at which he sold the first 22 litres, the total profit (in Rs.) made by him would be:
93. Nita purchases three dresses from a shop. She got one of them altered for Rs. 60 and she paid a total of Rs. 2,280. The shopkeeper made an overall profit of 11% on the cost price of all the three items together. The average cost price of the other two items is Rs. 400. The altered dress was sold at a profit of 20% after a discount of 10%. What was the marked price of the altered dress?
94. A fruit vendor purchased a box containing 180 mangoes. During transportation 30% of them got damaged. The good mangoes were sold at 20% profit whereas 50% of the damaged mangoes were sold at 10% loss and the remaining at 15% loss. If the total selling price of the box of mangoes was Rs.3,969, then what was the cost (in Rs.) of a dozen mangoes?
95. Sahil, a merchant, marks up his goods 20% higher than the cost price. If he offers 15% discount on 3/5th of the total goods and 10% discount on 1/4th of the total goods. If Sahil gets an overall profit of 5%, then what percentage of discount should be given by Sahil to customers on the remaining goods?
96. Rajesh, a fruit seller, had 2 boxes each containing 60 Alphonso mangoes. From the first box he sold 48 mangoes at a profit of 30% and 12 mangoes at a profit of 25%. He sold all the mangoes in the second box at a profit of 24% and his profit was reduced by Rs. 450 when compared to the first box. What is the cost price (in Rs.) of a dozen mangoes?
97. The marked price of three articles A, B and C are Rs.2,200, Rs.3,000 and Rs.2,500 respectively. Article A is sold at a discount of 5%, B at a discount of 8% and C at a discount of 6%, yet the shopkeeper got an overall profit of 20%. If the cost price of B is 50% more than that of A and the cost price of A is twice that of C, then what percent above the cost price has article A been marked?
98. Two persons A and B buy two articles for Rs.500 and Rs.1,000 respectively. A marks his article up by P%, while B marks his article up by 2P% and allows a discount of P%. If both make the equal non-zero profit, then the sum of their profits (in Rs.) is:
99. A shopkeeper can make a profit of 17% on the cost price by selling a washing machine for Rs. 7,020. If the cost of storage for a month is 10% of the cost price and the shopkeeper wants to earn the same initial amount as profit by selling the washing machine after a month, then what will be the new percentage profit (approximately)?
100. If a shopkeeper had bought an item at 20% less than usual cost price and sold it at 20% more than usual selling price, his profit percentage would have been three times the usual profit percentage. What is his usual profit percentage?
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