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    Arjun marks the price of his article 50% more than its cost price. If he sells the article for ₹86,580 after allowing a discount of 26%, then wha
    Question

    Arjun marks the price of his article 50% more than its cost price. If he sells the article for ₹86,580 after allowing a discount of 26%, then what will be the cost price (in ₹) of the article?​

    A.

    77,999

    B.

    78,002

    C.

    78,003

    D.

    78,000

    Correct option is D

    Given:

    - Marked Price is 50% more than the Cost Price.
    - Selling Price after a 26% discount is ₹86,580. 

    Formula Used:
    Marked Price (MP) = Cost Price (CP) + 50% of Cost Price = 1.5 × CP
    Selling Price (SP) = Marked Price × (1 - Discount Percentage)
    Solution:
     Let the Cost Price (CP) be x.
    Marked Price (MP) = 1.5 × x.
    Selling Price after Discount:
    Selling price after a 26% discount = ₹86,580.
    The formula for selling price is: SP = MP × (1 - 26/100)
    SP = 1.5 × x × 0.74 = 86,580.
    86,580 = 1.11 × x.
    x = 86,580 / 1.11 = ₹78,000.
    The cost price (CP) of the article is ₹78,000.

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