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    A shopkeeper fixes the marked price of an item 50% above its cost price. What percentage of discount on the marked price should be allowed to gai
    Question

    A shopkeeper fixes the marked price of an item 50% above its cost price. What percentage of discount on the marked price should be allowed to gain 8%?​

    A.

    29%

    B.

    30%

    C.

    28%

    D.

    27%

    Correct option is C

    Given:

    Marked Price (MP) = 50% above Cost Price (CP)

    Required Gain = 8%

    Find: Discount % on MP

    Formula Used:

    Discount % = MPSPMP×100 \frac{MP - SP}{MP} \times 100​​

    Solution: 

    Let  = ₹100
    Then,

    MP = 150% of 100 = 1.5 × 100 = ₹150

    SP = 108% of 100 = 1.08 × 100 = ₹108

    Discount = 150 - 108 = ₹42

    Discount % = 42150×100=28% \frac{42}{150} \times 100 = 28\%​​

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