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    A shopkeeper gives 20% discount on MRP. Joginder buys a suitcase from the shop, at an additional discount of 20% on the reduced price. If the MRP of t
    Question

    A shopkeeper gives 20% discount on MRP. Joginder buys a suitcase from the shop, at an additional discount of 20% on the reduced price. If the MRP of the suitcase is ₹1,200, then find the purchasing price paid by Joginder.

    A.

    ₹600

    B.

    ₹864

    C.

    ₹768

    D.

    ₹800

    Correct option is C

    Given:

    MRP of the suitcase = ₹1200

    First discount = 20%

    Second discount = 20% on the reduced price

    Formula Used:

    New Price = P ×(1d100)\times \left(1 - \frac{d}{100} \right)

    Solution:

    Apply the first 20% discount

    Reduced Price = 1200 ×(120100)\times \left(1 - \frac{20}{100} \right)

    = 1200 ×\times​ 0.8 = 960

    Apply the second 20% discount on ₹960

    Final Price = 960 ×(120100)\times \left(1 - \frac{20}{100} \right)

    = 960 × 0.8 = 768

    768\boxed{₹768} 

    Alternate Method: 

    =A+B+A×B100 =2020+20×20100 =40+4=36= A + B +\frac{A\times B}{100} \\ \ \\ =-20-20 +\frac{-20\times -20}{100}\\ \ \\= -40 + 4\\ =-36

    =1200×(136100) =1200×(64100) =12×64=1200\times \left(1 - \frac{36}{100} \right) \\ \ \\=1200\times\left(\frac{64}{100}\right)\\ \ \\=12 \times64 

    = 768




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