The difference between the selling prices of an article at a profit of 14% and a loss of 10% is ₹60. Find the cost price of the article.
₹250/-
₹250/- is correct.
Selling price is the cost price increased by the profit percentage or reduced by the loss percentage, so both selling prices can be written as fractions of the same cost price.
Let the cost price be \(x\). At 14% profit the selling price is \(1.14x\); at 10% loss it is \(0.90x\).
Difference \(= 1.14x - 0.90x = 0.24x = 60\).
\(x = \dfrac{60}{0.24} = 250\), so the cost price is ₹250.
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