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    The difference between 8% profit and 13% loss while selling an item was ₹ 115.50. What was the cost price of the item?
    Question

    The difference between 8% profit and 13% loss while selling an item was
    ₹ 115.50. What was the cost price of the item?

    A.

    ₹540

    B.

    ₹560

    C.

    ₹550

    D.

    ₹580

    Correct option is C

    Given:

    Profit percentage = 8%
    Loss percentage = 13%
    Difference in amount = ₹115.50
    Formula Used:

    Profit or Loss = (Percentage×Cost Price)100\frac{(Percentage × Cost \ Price) }{ 100}​​
    Total difference = Profit - (–Loss) = (8% + 13%) of Cost Price
    Solution:

    Combine the percentage difference:
    Total difference = 8% + 13% = 21% of Cost Price
    Set up the equation:
    21% of CP = ₹115.50
    21100×CP=115.50=>CP=115.50×10021=>CP=550\begin{aligned}&\frac{21}{100} \times \text{CP} = 115.50 \\&\Rightarrow \text{CP} = 115.50 \times \frac{100}{21} \\&\Rightarrow \text{CP} = ₹550\end{aligned}​​

    The cost price of the item is ₹550.

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