High School

If 8 kg of tea at Rs. 215 per kg and 7 kg of tea at Rs. 270 per kg are mixed together and sold for Rs. 310 per kg, how much profit would be made in this business?

Answer :

To determine the profit made by mixing two types of tea and selling them, we need to follow these steps:

  1. Calculate the Total Cost of the Tea Mixture:

    • For the 8 kg of tea priced at Rs. 215 per kg:
      [tex]\text{Cost of 8 kg tea} = 8 \times 215 = 1720\text{ Rs}[/tex]

    • For the 7 kg of tea priced at Rs. 270 per kg:
      [tex]\text{Cost of 7 kg tea} = 7 \times 270 = 1890\text{ Rs}[/tex]

    • Total cost for the combined 15 kg of tea:
      [tex]\text{Total Cost} = 1720 + 1890 = 3610\text{ Rs}[/tex]

  2. Determine the Revenue from Selling the Mixture:

    • The mixture is sold at Rs. 310 per kg.

    • Total revenue from selling 15 kg:
      [tex]\text{Total Revenue} = 15 \times 310 = 4650\text{ Rs}[/tex]

  3. Calculate the Profit:

    • Profit is the difference between the total revenue and total cost.

    • [tex]\text{Profit} = 4650 - 3610 = 1040\text{ Rs}[/tex]

Therefore, the profit made from selling the tea mixture is Rs. 1040.

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