Profit and Loss Questions

• Flip loss to gain — the 12% swing worth Rs 6 reveals the cost price If an article sold at a 6% loss is instead sold at a 6% gain, the seller receives Rs 6 more. What is the cost price of the article?
• Alternate buy and sell plan — linking two scenarios to recover CP An article is sold at a 10% loss. If instead it had been bought for 20% less and then sold for Rs 55 more than the original selling price, the profit would have been 40%. What is the original cost price?
• Price tweak thought experiment — same gain% after buying cheaper and selling cheaper A dealer sells a radio at a 10% gain. If instead he had bought it 10% cheaper and also sold it for Rs 132 less, he would still have a 10% gain. What is the radio's original cost price?
• Price rise and quantity drop — eggs per dozen after a 30% increase Due to a 30% increase in the price of eggs, a buyer gets 3 fewer eggs for Rs 7.80 than before. What is the present price per dozen?
• Profit and Loss – Two horses sold at equal selling prices, no overall gain or loss: A man sells two horses for Rs 4000 each and reports neither a profit nor a loss overall. If one horse is sold at a 25% gain, then at what percentage loss is the other horse sold so that the combined transaction breaks even?
• Profit and Loss – Short-weight with price gain: A grocer sells rice at a listed profit of 10% but uses weights that are 20% less than the correct weight. What is his overall percentage gain on true quantity delivered?
• Profit and Loss – Two close gains with a small price change: A bicycle is sold at a gain of 16%. If it had been sold for Rs 20 more, the gain would have been 20%. What is the cost price of the bicycle?
• Profit and Loss – From a small loss to a gain with a fixed price jump: A radio is sold at a loss of 2.5%. Had it been sold for Rs 100 more, there would have been a 7.5% gain. For a 12.5% gain, at what price should it be sold?
• Profit and Loss – Current gain vs hypothetical cheaper buy and lower SP: A man sells an article at a 15% gain. If he had bought it 10% cheaper and sold it for Rs 4 less than the actual selling price, he would have gained 25%. What is the cost price of the article?
• Profit and Loss – Two selling prices with a stated difference in gain rates: By selling a radio for Rs 475 instead of Rs 451, the percentage gain increases by 6%. What is the cost price of the radio?
• Profit and Loss – Mixture price and target margin: At what price per kg must Kantilal sell a mixture made by combining 80 kg sugar at Rs 6.75 per kg with 120 kg at Rs 8 per kg to earn a 20% profit on the mixture?
• Profit and Loss – Profit percent at two selling prices: The percentage profit when an article is sold for Rs 78 is twice the percentage profit when it is sold for Rs 69. What is the cost price of the article?
• Profit and Loss – Dual cheating: 8% while buying and 8% while selling: A trader cheats to the extent of 8% when buying (gets extra goods) and again cheats 8% when selling (gives less goods). What is his overall percentage gain?
• Profit and Loss – Marked price, discount, and realized profit: Kabir buys an article at a 25% discount on its marked price and sells it for Rs 660, making a 10% profit on his cost. What is the marked price?
• Profit and Loss – Equivalent single discount from a series: Three successive discounts of 10%, 20%, and 40% are offered. What single discount is equivalent to this series?
• Profit and Loss – Prices of three cars in ratio 4 : 5 : 7: The ratio of the prices of three different cars is 4 : 5 : 7. If the difference between the costliest and the cheapest is Rs 60000, what is the price of the car with the middle price?
• Profit and Loss – Successive discounts on a printed price (again): An electric heater has a printed price of Rs 160. If two successive discounts of 20% and 10% are given, how much does the buyer pay?
• Profit and Loss – Markup followed by discount (net gain): A trader lists articles 20% above cost price and allows a 10% discount on the marked price for cash payment. What is his net percentage gain?
• Profit and Loss – Comparing one big discount with two successive discounts: Find the difference between (i) a single discount of 40% on Rs 500 and (ii) two successive discounts of 36% and 4% on Rs 500.
• Profit and Loss – Adjust quantity to switch from loss to profit: By selling 45 oranges for Rs 40, a man incurs a 20% loss. How many oranges should he sell for Rs 24 to earn a 20% profit?