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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 Rs12.87. What is the actual cost price of the item?
Rs220
Rs280
Rs286
Rs256
- David marks up the item by 10%. If the cost price is Rs X, then the marked price is 1.10X.
- He gives a discount of 5% on the marked price. The selling price becomes 95% of the marked price (0.95 * 1.10X = 1.045X).
- The profit is Rs 12.87. Therefore, the profit equation is 1.045X - X = Rs 12.87.
- Simplifying the profit equation: 0.045X = Rs 12.87.
- Solving for X: X = Rs 12.87 / 0.045 = Rs 286.
- Rs 286 is the correct cost price of the item.
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