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    A shopkeeper allows a discount of 40% on his articles and still makes a profit of 20%. How much cost price does shopkeeper pay for an article whose ma
    Question

    A shopkeeper allows a discount of 40% on his articles and still makes a profit of 20%. How much cost price does shopkeeper pay for an article whose marked price is Rs. 2,400?

    A.

    Rs. 1,728

    B.

    Rs. 1,200

    C.

    Rs. 1,440

    D.

    Rs. 1,132

    Correct option is B

    Given:
    The marked price of the article = ₹2,400
    Discount allowed = 40%
    Profit made = 20%
    Formula Used:
    Selling price = Marked price(MP) - Discount allowed
    Profit = Selling price(SP) - Cost price(CP)
    Solution:
    According to question
    Let MP be 100x
    Discount= 40%
    Selling Price = 100x - 40of 100x = 60x
    From this SP = 60x, Still makes profit = 20%
    So, CP = 60x×\times120100\frac{120}{100}​ = 50x

    So, 100x = 2400
    CP =50x = 2400 ÷ 100 × 50 = 1200
    Alternate Solution:

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