10 Challenging Profit & Loss Maths
Multi-layered, exam-level questions covering successive discounts, dishonest dealers, supply chains, compound markups, blended mixtures, and more.
A shopkeeper marks an article 60% above its cost price. He gives two successive discounts of 15% and 10%. What is his overall profit or loss percentage?
A dishonest dealer claims to sell at cost price but uses a weight of 900 g instead of 1000 g. He also mixes 100 g of a cheaper material (costing 40% of the original per gram) for every 900 g of genuine goods. What is his actual profit percentage?
A manufacturer sells to a wholesaler at 20% profit. The wholesaler sells to a retailer at 15% profit. The retailer marks the price up by 30% and gives a 10% discount. The customer pays ₹12,949.20. What was the manufacturer's cost price?
A merchant buys 80 kg of rice at ₹45/kg and 120 kg at ₹55/kg. He mixes them and sells the entire mixture to make an overall profit of 20%. What is the selling price per kg?
A man sells two articles each for ₹4,200. On one he earns a profit of 20% and on the other he incurs a loss of 20%. What is his overall profit or loss on the entire transaction?
A trader imports goods worth $6,000 at an exchange rate of ₹83/$. He pays 10% import duty and ₹12,000 in shipping. He marks the goods 40% above total landed cost and offers a 15% discount. What is his profit percentage?
A company produces gadgets at ₹2,000/unit in Q1, with cost rising 10% every quarter. They sell 50 units each quarter at a fixed price of ₹2,800/unit. In which quarter will the company first record a loss?
A shopkeeper marks an item at 50% above cost price and offers a 20% discount. He then pays GST of 18% on the selling price from his own pocket. If CP = ₹8,000, what is his net profit or loss?
A trader buys 400 units at ₹150 each. He sells 250 units at 30% profit and 50 damaged units at 20% loss. At what price per unit must he sell the remaining 100 units to achieve an overall profit of 15%?
The cost price of Article P is ₹600 more than Article Q. P is sold at a 25% loss and Q at a 40% profit. If the selling price of both articles is the same, what is the cost price of Article Q?
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