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    By selling an article for Rs.1,785, a dealer loses 15%. At what price should he sell the article to gain 15%?
    Question

    By selling an article for Rs.1,785, a dealer loses 15%. At what price should he sell the article to gain 15%?

    A.

    Rs.1,785

    B.

    Rs.2,100

    C.

    Rs.2,415

    D.

    Rs.2,205

    Correct option is C

    Given:

    At loss of 15% selling price = Rs1785

    Formula Used:

    Loss = Cost price - selling price

    Solution:

    Let cost price = 100x

    Selling price when loss is 15% = 100x- 15% of cost price

    \implies100x- 15% 100x =85x

    According to question

    85x = Rs 1785

    x = 1785/85

    x= 21

    Selling price when profit is 15% =100x+15% of cost price

    115x =115×21115 \times 21 =2415​

    So selling price when profit is 15% =Rs2415

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