P sells an item to Q and earns 12% profit. Q sells it to R and earns a profit of ₹26. If the item was sold to R directly by P at the same price, the percentage of profit would have been 25%. The cost price of the item is ₹_____.
200
Let the cost price be C. P sells to Q at 12% profit: SP \(=1.12C\).
If P had sold directly to R at the same price Q eventually sold at, the profit would have been 25%: this price is \(1.25C\).
Q's profit: \(1.25C - 1.12C = 0.13C = 26 \Rightarrow C = 200\).
Hence, the cost price of the item is ₹200.
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Important Questions from Profit and Loss
By selling an article for Rs. 2,200, a profit of 10% is earned. If the same article is sold for Rs. 2,600, then what will be the gain percentage?
By selling an article for Rs. 640, a person loses 15% of its selling price. At what price (in Rs.) should he sell it to gain 15% on its cost price?
The selling prices of articles A and B are the same. A is sold at a profit of 28 percent and B is sold at a loss of 24 percent. If the total selling price of the both articles is Rs. 48640, then what is the cost price of A and B, respectively ?
The cost price of an article is Rs. 2800. Profit as a percentage of selling price is 20 percent. What is the actual profit (in Rs.) ?
A trader bought 640 kg of rice. He sold a part of rice at 20% profit and the rest at 5% loss. He earned a profit of 15% in the entire transaction. What is the quantity (in kg) of rice that he sold at 5% loss?
