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    An item costing Rs. 500 is being sold at a 17% loss. If the price is further reduced by 20%, then find the selling price.
    Question

    An item costing Rs. 500 is being sold at a 17% loss. If the price is further reduced by 20%, then find the selling price.

    A.

    332

    B.

    290

    C.

    452

    D.

    302

    Correct option is A

    Given:​
    Cost Price (CP) of the item = Rs. 500
    Loss percentage = 17%
    Further price reduction = 20%
    Selling Price (SP) = ?
    Formula Used:
     Selling Price after initial loss = Cost Price × (1 - Loss Percentage)
     Selling Price after further reduction = Initial Selling Price × (1 - Further Reduction Percentage)
    Solution:
     Calculate the initial selling price after 17% loss:
    Initial SP=500×(10.17)Initial SP=500×0.83=415\text{Initial SP} = 500 \times (1 - 0.17)\\\text{Initial SP} = 500 \times 0.83 = 415​​
    2. Calculate the final selling price after further 20% reduction:
    Final SP=415×(10.20)Final SP=415×0.80=332\text{Final SP} = 415 \times (1 - 0.20)\\\text{Final SP} = 415 \times 0.80 = 332​​

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