An article is sold at a profit of 38%. If the cost price is increased by ₹20 and the selling price is reduced by ₹45, then the profit would be 37.5%. What is the original cost price (in ₹) of the article?
14,500
Let the cost price be C. Selling price at 38% profit: \(1.38C\).
New cost price: \(C+20\). New selling price: \(1.38C-45\), giving a 37.5% profit: \(1.38C-45 = 1.375(C+20)\).
\(1.38C-45 = 1.375C+27.5 \Rightarrow 0.005C = 72.5 \Rightarrow C = 14500\).
Hence, the original cost price of the article is ₹14,500.
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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?
