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    The list price of a smart fan is Rs. 5,600 and it is available to a retailer at 25% discount. For how much should a retailer sell it to gain 15%?
    Question

    The list price of a smart fan is Rs. 5,600 and it is available to a retailer at 25% discount. For how much should a retailer sell it to gain 15%?

    A.

    Rs. 4,890

    B.

    Rs. 4,850

    C.

    Rs. 4830

    D.

    Rs. 4,875

    Correct option is C

    Given:

    List Price (Marked Price) = Rs. 5600

    Discount = 25%

    Desired Profit = 15%

    Formula Used:

    Cost Price = Marked Price×(1Discount100) \text{Marked Price} \times \left(1 - \frac{\text{Discount}}{100}\right)​​

    Selling Price = Cost Price×(1+Profit100)\text{Cost Price} \times \left(1 + \frac{\text{Profit}}{100}\right)​​

    Solution:

    Cost Price = 5600×(125100)5600 \times \left(1 - \frac{25}{100}\right)​​

    =5600×0.75=Rs. 4200= 5600 \times 0.75 = Rs. \ 4200​​

    Selling Price = 4200×(1+15100)4200 \times \left(1 + \frac{15}{100}\right)​​

    =4200×1.15=Rs. 4830= 4200 \times 1.15 = Rs. \ 4830​​

    Thus, The retailer should sell it for Rs.4830

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