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    If a man was to sell an article for ₹840, he would lose 20%. To gain 25% he should sell it for __________.
    Question

    If a man was to sell an article for ₹840, he would lose 20%. To gain 25% he should sell it for __________.

    A.

    ₹1,312.50

    B.

    ₹1,300.50

    C.

    ₹1,200.50

    D.

    ₹1,212.50

    Correct option is A

    Given:

    Selling Price for 20% loss = ₹840

    Solution:

    CP = SP1Loss %100\frac{\text{SP}}{1 - \frac{\text{Loss \%}}{100}}

    = 840120100\frac{840}{1 - \frac{20}{100}}

    = 8400.8SP (for 25% gain)\frac{840}{0.8} \text{SP (for 25\% gain)}

    = CP×(1+25100)\text{CP} \times \left(1 + \frac{25}{100}\right)

    Find CP:

    CP = 8400.8\frac{840}{0.8}​ = 1050

    SP for 25% gain

    SP = 1050 ×\times​ 1.25 = 1312.5 

    Alternate Method:  

    After 20% loss = 100 - 20 = 80% = 840 

    1% = 10.5 

    CP = 100 = 1050 

    SP on CP  = 125% 

    125% = 125 ×\times​ 10.5 = 1312.5

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