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    A person sells an article on the price that is obtained after reducing its marked price by Rs. 640, and gains 15%. If the cost price of the article is
    Question

    A person sells an article on the price that is obtained after reducing its marked price by Rs. 640, and gains 15%. If the cost price of the article is Rs. 4800, what percentage of profit will he get if he sells it at the marked price?

    A.

    281328\frac{1}{3} ​​

    B.

    3071630\frac{7}{16} ​​

    C.

    261426\frac{1}{4}​​

    D.

    3051230\frac{5}{12} ​​

    Correct option is A

    Given:

    Cost Price (CP) = ₹4800

    Selling Price (SP) after reducing marked price by ₹640 gives a 15% gain

    Required: Profit % if the article is sold at Marked Price (MP)

    Formula Used:

    Gain % =  SPCPCP×100\frac{SP - CP}{CP} \times 100​​

    SP = CP×(1+Gain %100) CP \times \left(1 + \frac{\text{Gain \%}}{100}\right)​​

    Solution:

    SP = 4800×(1+15100)=4800×1.15=55204800 \times \left(1 + \frac{15}{100}\right) = 4800 \times 1.15 = ₹5520​​

    So,

    MP = SP + 640 = 5520 + 640 = ₹6160

    Now, if he sells at MP, profit = 6160 - 4800 = ₹1360

    Profit % = 13604800×100=1360004800=2813%\frac{1360}{4800} \times 100 = \frac{136000}{4800} = 28\frac{1}{3}\%​​

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