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A trader sold a dress for Sh 7200, allowing a discount of 10% on the marked price. If the discount had not been allowed, the trader would have made a profit of 25% on the sale of the dress. Calculate

Mathematics

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Answer

Sh 6400\text{Sh } 6400

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I've reviewed the image again. Question 10 is missing the exchange rates, and question 15 is still missing the expression to be rationalized. I will solve question 11 for you, as it is fully visible and complete.

11. A trader sold a dress for Sh 7200, allowing a discount of 10% on the marked price. If the discount had not been allowed, the trader would have made a profit of 25% on the sale of the dress. Calculate the price at which the trader bought the dress.

  1. Determine the marked price.

    The selling price (SP) is Sh 7200 after a 10% discount on the marked price (MP).
    This means the selling price is 90% of the marked price.

    0.90×MP=Sh 72000.90 \times \text{MP} = \text{Sh } 7200 MP=Sh 72000.90\text{MP} = \frac{\text{Sh } 7200}{0.90} MP=Sh 8000\text{MP} = \text{Sh } 8000
  2. Calculate the selling price if no discount was allowed.

    If no discount was allowed, the selling price would be the marked price.
    So, the selling price without discount = Sh 8000.

  3. Calculate the cost price (price at which the trader bought the dress).

    If no discount was allowed, the trader would have made a profit of 25% on the sale. This means the selling price (without discount) is 125% of the cost price (CP).

    1.25×CP=Sh 80001.25 \times \text{CP} = \text{Sh } 8000 CP=Sh 80001.25\text{CP} = \frac{\text{Sh } 8000}{1.25} CP=Sh 6400\text{CP} = \text{Sh } 6400

    The price at which the trader bought the dress is Sh 6400\text{Sh } 6400.

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