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Mrs Apolot a fruit seller bought 120 mangoes at sh 120 per mango and 30 oranges at sh 400 each. She later sold each mango at sh 150 and each orange at sh 500. Calculate the profit Mrs Apolot made from selling the fruits.

Mathematics

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Answer

Sh 6600\text{Sh } 6600

Step-by-step solution

7 steps
  1. Calculate the total cost of buying mangoes.

    Mrs. Apolot bought 120 mangoes at Sh 120 each.

    Cost of mangoes=120×120 Sh=14400 Sh\text{Cost of mangoes} = 120 \times 120 \text{ Sh} = 14400 \text{ Sh}
  2. Calculate the total cost of buying oranges.

    Mrs. Apolot bought 30 oranges at Sh 400 each.

    Cost of oranges=30×400 Sh=12000 Sh\text{Cost of oranges} = 30 \times 400 \text{ Sh} = 12000 \text{ Sh}
  3. Calculate the total cost price (CP) of all fruits.

    Total CP=Cost of mangoes+Cost of oranges\text{Total CP} = \text{Cost of mangoes} + \text{Cost of oranges} Total CP=14400 Sh+12000 Sh=26400 Sh\text{Total CP} = 14400 \text{ Sh} + 12000 \text{ Sh} = 26400 \text{ Sh}
  4. Calculate the total selling price of mangoes.

    She sold each mango at Sh 150.

    Selling price of mangoes=120×150 Sh=18000 Sh\text{Selling price of mangoes} = 120 \times 150 \text{ Sh} = 18000 \text{ Sh}
  5. Calculate the total selling price of oranges.

    She sold each orange at Sh 500.

    Selling price of oranges=30×500 Sh=15000 Sh\text{Selling price of oranges} = 30 \times 500 \text{ Sh} = 15000 \text{ Sh}
  6. Calculate the total selling price (SP) of all fruits.

    Total SP=Selling price of mangoes+Selling price of oranges\text{Total SP} = \text{Selling price of mangoes} + \text{Selling price of oranges} Total SP=18000 Sh+15000 Sh=33000 Sh\text{Total SP} = 18000 \text{ Sh} + 15000 \text{ Sh} = 33000 \text{ Sh}
  7. Calculate the profit.

    Profit is the difference between the total selling price and the total cost price.

    Profit=Total SP−Total CP\text{Profit} = \text{Total SP} - \text{Total CP} Profit=33000 Sh−26400 Sh=6600 Sh\text{Profit} = 33000 \text{ Sh} - 26400 \text{ Sh} = 6600 \text{ Sh}

    The profit Mrs. Apolot made is Sh 6600\text{Sh } 6600.

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