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​

Answer 1

Answer:

Rs 1980

Step-by-step explanation:

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Answer 2

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

$\bigstar$Using 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 .