An article is sold at a profit of 32%. If the cost price is increased by ₹20 and the selling price is reduced by ₹42, then the profit would be 27.5%. What is the original cost price (in ₹) of the article?
1,500
Let cost price be C. Selling price at 32% profit: \(1.32C\).
New cost price: \(C+20\). New selling price: \(1.32C-42\), giving a 27.5% profit: \(1.32C-42 = 1.275(C+20)\).
\(1.32C-42 = 1.275C+25.5 \Rightarrow 0.045C = 67.5 \Rightarrow C = 1500\).
Hence, the original cost price of the article is ₹1,500.
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