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    A shopkeeper incurred a loss of 10% by selling an item for ₹1,980. At what price (in ₹) should he sell that item to gain 15%?
    Question

    A shopkeeper incurred a loss of 10% by selling an item for ₹1,980. At what price (in ₹) should he sell that item to gain 15%?

    A.

    2,475

    B.

    2,193

    C.

    2,530

    D.

    2,005

    Correct option is C

    Given:

    Loss % = 10%
    Selling Price at 10% loss = ₹1980
    Required Gain % = 15%

    Formula Used:
    Use the relationship between Selling Price (SP), Cost Price (CP), and Profit/Loss %:

    If there is a loss,

    SP=(1Loss %100)×CP\text{SP} = (1 - \frac{\text{Loss \%}}{100}) \times \text{CP}​​

    If there is a gain,

    SP=(1+Gain %100)×CPSP = (1 + \frac{\text{Gain \%}}{100}) \times \text{CP}​​

    Solution:

    CP =1980110100=19800.9=2200= \frac{1980}{1 - \frac{10}{100}} = \frac{1980}{0.9} = ₹2200

    New SP=2200×(1+15100)=2200×1.15=2530\text{New SP} = 2200 \times \left(1 + \frac{15}{100}\right) = 2200 \times 1.15 = ₹2530

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