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    A man sold an article for Rs. 216, there by gaining 12.5%. The cost of the article (in Rs. ) was:
    Question

    A man sold an article for Rs. 216, there by gaining 12.5%. The cost of the article (in Rs. ) was:

    A.

    189

    B.

    243

    C.

    246

    D.

    192

    Correct option is D

    Given:

    Selling price of the article = Rs. 216

    Gain percentage = 12.5%

    Formula Used:

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

    Solution:

    Applying the formula;

    216 = CP × (1+12.5100)\left(1+\frac{12.5}{100}\right) ​​

    CP = 2161+12.5100\frac{216}{1 + \frac{12.5}{100}}​​​​

    216×100112.5\frac{216 \times 100}{112.5}​​

    = 192

    Thus, the cost price of the article is Rs. 192

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