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    A shopkeeper sells a pair of shoes at a discount of 34% and still makes a profit of 10% . If the cost price of the pair of shoes is ₹480, find its mar
    Question

    A shopkeeper sells a pair of shoes at a discount of 34% and still makes a profit of 10% . If the cost price of the pair of shoes is ₹480, find its marked price.

    A.

    ₹ 850

    B.

    ₹ 820

    C.

    ₹ 800

    D.

    ₹ 700

    Correct option is C

    Given:

    Cost Price (CP) = ₹480

    Profit = 10%

    Discount = 34%

    Formula Used:

    Selling Price : SP = CP×(1+Profit %100)CP \times \left(1 + \frac{\text{Profit \%}}{100}\right)

    Marked Price : MP = SP(1Discount%100)\frac{SP}{(1 - \frac{\text{Discount\%}}{100})}​​

    Solution:

    Selling Price (SP):

    SP = 480×(1+10100)480 \times \left(1 + \frac{10}{100}\right)​​

    = 480 × 1.1 = 528

    Marked Price (MP):

    MP = 528134100=5280.66\frac{528}{1 - \frac{34}{100}} = \frac{528}{0.66} = 800

    Thus, The marked price is ₹800.

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