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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