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    A shopkeeper marks the price of an article at ₹3,930. Find the cost price if after allowing a discount of 40% he still gains 20% on the cost pric
    Question

    A shopkeeper marks the price of an article at ₹3,930. Find the cost price if after allowing a discount of 40% he still gains 20% on the cost price.​

    A.

    ₹1,899

    B.

    ₹1,965

    C.

    ₹1,989

    D.

    ₹1,981

    Correct option is B

    Given:
    - Marked price (MP) of the article = ₹3,930
    - Discount allowed = 40%
    - Profit gained = 20% on the cost price (CP)
    Formula Used:
    Selling Price (SP) = Marked Price - Discount
    Profit = Selling Price - Cost Price
    Profit Percentage =(ProfitCost Price) (\frac{Profit }{ Cost \ Price})​ × 100
    Solution:
    Discount = 40% × 3930 = ₹1,572
    Selling Price = Marked Price - Discount = 3930 - 1572 = ₹2,358
    Profit = 20% of Cost Price = 0.2 × CP
    Selling Price = Cost Price + Profit
    2358 = CP + 0.2 × CP
    2358 = 1.2 × CP
    Solving for Cost Price: CP = 2358 / 1.2 = ₹1,965
    The cost price (CP) of the article is ₹1,965.

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