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A shopkeeper sells a bag at a gain of 25%. He offers a discount of 10% on the bag. What is his profit %? Options :12.5%25%23%none

Question

A shopkeeper sells a bag at a gain of 25%. He offers a discount of 10% on the bag. What is his profit %? Options :12.5%25%23%none

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Solution

To solve this problem, we need to follow these steps:

  1. Let's assume the cost price of the bag is $100.
  2. The shopkeeper sells the bag at a gain of 25%, so the selling price becomes $125 (100 + 25% of 100).
  3. He then offers a discount of 10% on the bag. So, the final selling price becomes $112.5 (125 - 10% of 125).
  4. Now, we calculate the profit percentage. The profit is the final selling price minus the cost price, which is $12.5 (112.5 - 100).
  5. The profit percentage is then (Profit / Cost price) * 100, which is (12.5 / 100) * 100 = 12.5%.

So, the shopkeeper's profit percentage is 12.5%.

This problem has been solved

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