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    An article is sold for Rs. x after offering two successive discounts of 25% and 8% on its marked price of Rs.500. The value of x is:   
    Question

    An article is sold for Rs. x after offering two successive discounts of 25% and 8% on its marked price of Rs.500. The value of x is:    

    A.

    285

    B.

    280

    C.

    300

    D.

    345

    Correct option is D

    Given:

    Marked price = 500 Rs.

    Successive discounts = 25% and 8%

    Formula Used:

    Net Price=Marked Price×(1d1)×(1d2)\text{Net Price} = \text{Marked Price} \times (1 - d_1) \times (1 - d_2)​​

    where d1d_1​ and d2d_2​ are discounts in decimal form.

    Solution: 

    25% can be written as 0.25 

    similarly  8% can be written as 0.08 

    Now, applying the formula 

    x=500×(10.25)×(10.08)=500×0.75×0.92x = 500 \times (1 - 0.25) \times (1 - 0.08) = 500 \times 0.75 \times 0.92

    x=500×0.69=345 Rs.x = 500 \times 0.69 = 345 \, \text{Rs.} 

    Thus, the value of x is Rs.345

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