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A mixture of two commodities A and B is in the ratio x:y. Commodity A costs Sh. 60 per unit and commodity B costs Sh. 72 per unit. If the mixture is sold at Sh. 78 per unit, what is the profit percent

Mathematics

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Step-by-step solution

2 steps
  1. Define the cost price of the mixture.

    Let the ratio of commodity A to commodity B be x:yx:y.
    The cost of commodity A is Sh. 60 per unit.
    The cost of commodity B is Sh. 72 per unit.
    The total cost of the mixture is Cmix=60x+72yC_{mix} = 60x + 72y.
    The total number of units in the mixture is x+yx+y.
    The average cost price per unit of the mixture is 60x+72yx+y\frac{60x + 72y}{x+y}.

  2. Relate the selling price to the cost price using the profit percentage.

    The selling price of the mixture is Sh. 78 per unit

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