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    The selling price of 30 books is equal to the cost price of 45 books. Find the loss or gain percentage.
    Question

    The selling price of 30 books is equal to the cost price of 45 books. Find the loss or gain percentage.

    A.

    50% gain

    B.

    10015\frac{100}{15}% gain​

    C.

    50% loss

    D.

    10015\frac{100}{15}% loss​

    Correct option is A

    Given

    Selling Price(SP) of 30 book = Cost Price(CP) of 45 Books 

    Formula Used: ​

    Loss and gain % = Loss or ProfitCP×100\frac{\text{Loss or Profit} }{CP}\times 100 

    Solution:  

    SP of 30 = CP of 45 

    SPCP=4530 SPCP=32\frac{SP}{CP} = \frac{45}{30} \\ \ \\ \frac{SP}{CP} = \frac{3}{2} 

    SP >CP 

    So, 

    Profit % = 322×100=50%\frac{3-2}{2} \times 100 = 50\%​​

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