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    A dealer's cost price for each fan he would like to sell is ₹2,000. After allowing a discount of 20% on its marked price, he gains 20%. His marked pri
    Question

    A dealer's cost price for each fan he would like to sell is ₹2,000. After allowing a discount of 20% on its marked price, he gains 20%. His marked price of the fan is:

    A.

    ₹5,000

    B.

    ₹ 2,500

    C.

    ₹3,000

    D.

    ₹4,000

    Correct option is C

    Given: 
    Cost Price (CP) of each fan = ₹2,000
    Discount on the Marked Price (MP) = 20%
    Profit after selling = 20% 
    Formula Used: 
    Marked PriceSelling Price=100+Profit100Discount\frac{\text{Marked Price}}{\text{Selling Price}}= \frac{100+Profit}{100 - Discount} 
    Solution: 
    As per the qeustion;
    Marked PriceSelling Price=100+2010020\frac{\text{Marked Price}}{\text{Selling Price}}= \frac{100+20}{100 - 20} 
    Marked Price2000=12080\frac{\text{Marked Price}}{\text{2000}}= \frac{120}{80} 
    Marked Price = 120×200080=3000\frac{ 120 \times 2000}{80} = ₹3000 
    Alternate Method:

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