A man sells a watch at a loss of 10%. Had he increased the selling price by ₹120, the transaction would have resulted in a gain of 5%. Determine the selling price of the watch.
₹720
Let the cost price be C. Selling price at 10% loss: \(0.9C\). At 5% gain: \(1.05C\).
\(0.9C+120 = 1.05C \Rightarrow 120 = 0.15C \Rightarrow C = 800\).
Selling price of the watch (at 10% loss): \(0.9\times800 = 720\).
Hence, the selling price of the watch is ₹720.
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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?
