Question

By selling 20 oranges for#1.35 a trader makes a profit of 8% what is the percentage gain or loss if he sells the same 20 oranges for#1.10?

Answers

  1. Answer:
      12% loss
    Step-by-step explanation:
    The selling price is the sum of the cost price and the markup. Here, the markup (profit) is expressed as a percentage of the cost price.

    Cost price

    The relation between selling price and cost price is …
      selling price = cost price + cost price × markup fraction
      selling price = cost price × (1 + markup fraction)
    Then the original cost price is …
      cost price = (selling price) / (1 + markup fraction)
      cost price = #1.35 / (1 +8%) = #1.25

    Profit

    After the change in selling price, we can find the markup fraction (profit rate) to be …
      1 + markup fraction = (selling price)/(cost price)
      markup fraction = (selling price)/(cost price) -1
      markup fraction = #1.10/1.25 -1 = 0.88 -1 = -0.12
    The trader has a 12% loss when selling the oranges at #1.10.
     

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