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    A shopkeeper allows a discount of 22% to his customers and still gains 36%. Find the marked price (in) of an article which costs Rs. 1,092 to the shop
    Question

    A shopkeeper allows a discount of 22% to his customers and still gains 36%. Find the marked price (in) of an article which costs Rs. 1,092 to the shopkeeper.

    A.

    1792

    B.

    2024

    C.

    1872

    D.

    1904

    Correct option is D

    Given:
    The cost price of article =Rs1092
    Profit of shopkeeper after discount=36%
    Discount offered =22%
    Formula Used: 
    Profit Percentage =  Profit(Cost Price)×100\frac{Profit}{(Cost \ Price)}× 100  

    100Discount100+Profit=CPSP\frac{ 100 - Discount}{ 100 + Profit} = \frac{CP}{SP}  ​
    Solution: 

    10022100+36=1092MP 78136=1092MP MP=109278×136 MP=Rs.1904\frac{ 100 - 22}{ 100 + 36} = \frac{ 1092}{MP}\\\ \\\frac{78}{136} = \frac{1092}{MP}\\\ \\MP = \frac{1092}{78} \times136 \\\ \\MP = Rs. 1904


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