Profit and Loss Questions

• A fruit seller buys lemons at 2 for Re 1 (cost per lemon = Rs 0.50) and sells them at five for Rs 3 (selling price per lemon = Rs 0.60). Compute the gain percentage.
• Books are purchased 11 for Rs 10 and sold 10 for Rs 11. Compute the profit percentage.
• An article sold for Rs 144 results in a loss equal to 1/7 of the cost. If it is sold instead for Rs 168, determine the gain or loss percentage.
• A shopkeeper buys 150 calculators at Rs 250 each and spends Rs 2500 on transportation and packing. The marked price per calculator is Rs 320, and he offers a 5% discount. Compute the overall profit percentage.
• Retail purchase discount and profit chain — sewing machine A retailer buys a sewing machine at a 15% discount off the wholesaler's marked (list) price and later sells it for Rs 1955, making a profit of 15% on his cost. How many rupees of discount did he actually receive from the wholesale (i.e., the rupee difference between list price and his cost price)?
• Printed price vs. cost price — discount given yet profit earned A shopkeeper offers a 10% discount on the printed (marked) price of a book but still earns a 12% profit on cost. What is the ratio of cost price to printed price of the book?
• Oranges at loss vs. target gain — convert 'x for a rupee' to per-unit price A man sells 12 oranges for one rupee and incurs a 20% loss. How many oranges should he sell for one rupee to secure a 20% gain instead?
• False weights while claiming cost price — computing hidden gain A dealer claims to sell at cost price but secretly uses a short weight. His gain is 6 18/47 percent. When a customer asks for 1 kg, what weight (in grams) does he actually give?
• Comparing two discount offers to infer labeled price and paid price Tarun buys a TV at 20% discount on the labeled price. Had he received a 25% discount instead, he would have saved Rs 500 more. At what price (amount actually paid) did he buy the TV?
• Successive small gains — back-calculating original price through two sales A sells a watch to B at a 5% gain, and B sells it to C at a 4% gain. If C pays Rs 91, what price did A originally pay for the watch?
• Weighted-average cost with target profit — apples per dozen Ram buys 4 dozen apples at Rs 12 per dozen and 2 dozen at Rs 16 per dozen. If he sells all apples to earn a 20% overall profit, what selling price per dozen should he charge?
• Sell, then buy back at a loss — net effect on the first owner A owns a house worth Rs 10,000. He sells it to B at a 10% profit on this worth, and later buys it back from B at a 10% loss (on B's buying price). What is A's net result from these two transactions?
• Original gain from a reference sale price — reverse from a loss at 2/3 price An article is sold at some original price P. When sold at (2/3)P, there is a 10% loss. What is the gain percentage at the original price P?
• Profit percentage equals the cost price — solve quadratic to find CP A merchant sells goods for Rs 75 at a profit percentage numerically equal to the cost price (in rupees). What is the cost price?
• Equal selling prices but opposite percentage outcomes — net result A horse and a cow are each sold for Rs 12,000. The horse is sold at a 20% loss and the cow at a 20% gain. What is the net result over both sales together?
• Two linked sales with loss and gain — recover original cost A man sells a car to a friend at a 10% loss. The friend later sells it for Rs 54,000 and makes a 20% gain. What was the car's original cost price for the first man?
• Partial loss and partial gain on a fixed budget — overall percentage A man purchases sugar worth Rs 400. He sells 3/4 of it at a 10% loss and the remaining 1/4 at a 10% gain. What is his overall result as a percentage of cost?
• All-in landed cost and target margin — selling price per ream Bhajan Singh buys 120 reams at Rs 80 per ream, pays Rs 280 freight, octroi at 40 paise per ream, and Rs 72 as handling. What selling price per ream ensures an 8% overall gain?
• Partial profit on a fraction of stock — real overall gain A shopkeeper sells 3/4 of his articles at a 20% gain and the remaining 1/4 at cost price. What is his overall percentage gain?
• Doubling the selling price after a 10% profit — resulting profit percent A seller makes a 10% profit at a certain selling price. If he doubles that selling price, what will be his new profit percentage?