6. A merchant allows a discount of 10% on an article before selling it to his customer and still gains 10%. If the merchant bought the

Question

6. A merchant allows a discount of 10% on an article before selling it to
his customer and still gains 10%. If the merchant bought the article for
1620, then at what price did he mark the article?
6​

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Alaia 5 months 2021-08-16T13:22:56+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-16T13:23:58+00:00

    Answer:

    Rs 1980

    Step-by-step explanation:

    plss tell me how’s my answer

    0
    2021-08-16T13:24:22+00:00

    Solution :

    \bf{\large{\underline{\bf{Given\::}}}}}

    • A merchant allow a discount = 10%
    • Gain = 10%
    • Cost price of the article = Rs.1620

    \bf{\large{\underline{\bf{Explanation\::}}}}}

    Let the marked price of article be Rs.r

    \bigstarUsing formula of the selling price when profit :

    \boxed{\bf{S.P.=\bigg(\dfrac{100+profit\%}{100}\bigg) \times C.P.}}}

    \longrightarrow\sf{Selling\:Price=\dfrac{100+10}{100} \times 1620}\\\\\\\longrightarrow\sf{Selling\:Price=\dfrac{11\cancel{0}}{\cancel{100}} \times 162\cancel{0}}\\\\\\\longrightarrow\sf{Selling\:Price=Rs.(11\times 162)}\\\\\longrightarrow\bf{Selling\:Price=Rs.1782}

    Now;

    \longrightarrow\sf{Selling\:price=M.P.\times \bigg(\dfrac{100-Discount\%}{100}\bigg) }\\\\\\\longrightarrow\sf{1782=r\times \dfrac{100-10}{100} }\\\\\\\longrightarrow\sf{1782=r\times \dfrac{90}{100} }\\\\\\\longrightarrow\sf{1782=\dfrac{90r}{100} }\\\\\\\longrightarrow\sf{90r=178200}\\\\\longrightarrow\sf{r=\cancel{178200/90}}\\\\\longrightarrow\bf{r=Rs.1980}

    Thus;

    The Marked price of the article will be Rs.1980 .

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