An article is sold at a profit of 21%. If the cost price is increased by ₹50 and the selling price is reduced by ₹69, then the profit would be 13.6%. What is the original cost price (in ₹) of the article?
1,700
Let the original cost price be \(x\). Original selling price \(= 1.21x\).
New cost price \(= x + 50\) and new selling price \(= 1.21x - 69\), giving a profit of 13.6%.
So \(1.21x - 69 = 1.136(x + 50)\).
Expanding: \(1.21x - 69 = 1.136x + 56.8\).
So \(0.074x = 125.8\), giving \(x = 1700\).
Hence, the original cost price of the article is ₹1,700.
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