Question
A shopkeeper marks a shirt 40% above its cost price. He
offers a discount of 15% on the marked price and still makes a profit of Rs. 255 on the shirt. What is the cost price of the shirt?Solution
Let cost price = Rs. C Marked price = C × 1.40 After 15% discount, selling price = 1.40C × (1 − 0.15) = 1.40C × 0.85 = 1.19C Profit = SP − CP = 1.19C − C = 0.19C Given profit = 255 0.19C = 255 ⇒ C = 255 / 0.19 = 25500 / 19 = 1,500
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