David purchased an item and marked his price up by 10%. He sold the same item by giving a discount of 5% and he made a profit ₹12.87. What is the actual cost price of the item?
Answer & explanation
Correct answer: option 3
Let the cost price of the article = 100
Markup = 10%
Then the marked price of the article = 110
Discount = 5%
So the selling price = 95% of the marked price
So the SP = 95% of 110 = 104.5
So the profit = 104.5 - 100 4.5
4.5x = 12.87
x = \(\frac{12.87}{4.5}\) = 2.86
100x = ₹286