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    Find the difference between the selling prices of two articles sold at 12.5% profit and 12.5% loss, if the cost price is Rs.400 each.
    Question

    Find the difference between the selling prices of two articles sold at 12.5% profit and 12.5% loss, if the cost price is Rs.400 each.

    A.

    Rs.120

    B.

    Rs.100

    C.

    Rs.80

    D.

    Rs.140

    Correct option is B

    Given:

    Cost price of each article = Rs.400 

    For the first article sold at 12.5% profit:

    Selling Price = Cost Price×(1+12.5100)=400×1.125=Rs.450\text{Cost Price} \times \left( 1 + \frac{12.5}{100} \right) = 400 \times 1.125 = Rs.450 ​​

    For the second article sold at 12.5% loss:

    Selling Price =Cost Price×(112.5100)=400×0.875=Rs.350 \text{Cost Price} \times \left( 1 - \frac{12.5}{100} \right) = 400 \times 0.875 = Rs.350 ​​

    Now, the difference in selling prices is:

    Difference =  450 - 350 = Rs.100 .

    Thus, the difference between the selling prices is Rs.100.

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