A person sells 64 apples for ₹60, making a 25% profit. If they incur a 40% loss, how many apples will they sell for ₹36?

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Apple Selling Problem

Apple Selling Problem

A person sells 64 apples for ₹60, making a 25% profit. If they incur a 40% loss, how many apples will they sell for ₹36?

Solution

  1. Find the Cost Price (CP) of 64 apples:
    We use the formula for profit:
    SP = CP × (1 + Profit% / 100)
    Substitute the values:
    60 = CP × (1 + 25 / 100)
    60 = CP × 1.25
    CP = 60 / 1.25 = ₹48
  2. Find the CP of 1 apple:
    The CP of 64 apples is ₹48. So, the CP of 1 apple is:
    48 / 64 = ₹0.75
  3. Find the SP of 1 apple with a 40% loss:
    Use the formula for loss:
    SP = CP × (1 - Loss% / 100)
    Substitute the values:
    SP = 0.75 × (1 - 40 / 100)
    SP = 0.75 × 0.6 = ₹0.45
  4. Find the number of apples sold for ₹36:
    Total SP = ₹36. SP of 1 apple = ₹0.45.
    Number of apples:
    36 / 0.45 = 80

Final Answer:

The person will sell 80 apples for ₹36 when incurring a 40% loss.

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