Question

<br />27. Rohit sold an article to Kartik at a profit of 2.5% and Kartik sold this article to Manish at a loss of 10%.<br />Manish paid 9.90 to Kartik. Find the cost price of the article for Rohit.​

Answer 1

$\green\star$$\mathrm\red{Question:-}$

Rohit sold an article to Kartik at a profit of 2.5% and Kartik sold this article to Manish at a loss of 10%.Manish paid 9.90 to Kartik. Find the cost price of the article for Rohit.

$\green\star$$\mathrm\red{Solution:-}$

$\mathrm{Let\:cost\: price\:of\: article\:= C\:Rs.}$

$\mathrm{Rohit\:sold\:an\: article\:to\:kartik\:at}$

$\mathrm{profit\:of\:2.5\: percentage}$

Profit:-

$= \frac{2.5}{100} c$

$= \frac{c}{40} rs$

Selling price:-

$= c + \frac{c}{40}$

$= \frac{41c}{40 }$

$\mathrm{Kartik\:sold\:the\: article\:to\:manish\:at\:a}$

$\mathrm{at\:a\:loss\:of\:10\: percentage}$

Loss:-

$= ( \frac{10}{100} ) \times ( \frac{41c}{40} )$

$= \frac{41c}{400}$

selling price:-

$= ( \frac{41c}{40c} ) - ( \frac{41c}{400} )$

$= \frac{410c - 41c}{400}$

$= \frac{369c}{400}$

$\frac{369c}{400} = 9.9$

$➟ \: c = \frac{3960}{369}$

$➟ \fbox \blue{ c = 10.23}$

$\mathrm\red{Cost\: price\:of\: article\:of\:rohit\:is\:10.23Rs}$

Answer 2

Answer:

$\huge{ \bold{ \mathfrak{ \boxed{ \star{ \mathtt{ \red{answer}{} }{} }{} }{} }{} }{} }{}$

»Question:-

• Rohit sold an article to Kartik at a profit of 2.5% and Kartik sold this article to Manish at a loss of 10%.Manish paid 9.90 to Kartik. Find the cost price of the article for Rohit.

»Answer:-

$\sf{ \bold{ \underline{ \pink{given \: in \: the \: question}{} }{} }{} }{}$

• Rohith Sold an article to karthik at profit of 2.5%
• Karthik sold the article to Manish at a loss of 10%

$\sf{ \bold{ \underline{ \blue{solution \: of \: the \: question.}{} }{} }{} }{}$

• Let the article cost ₹ x

$\sf{ \underline{ \purple{calculation \: of \: profit}{} }{} }{}$

Profit =

$\frac{2.5}{100} \times \frac{x}{40} rs \\ selling \: price \: = x + \frac{x}{40} = \frac{41}{40} rs$

»Karthik sold the article to Manish at a loss of 10%

$\sf{ \red{calulating \: the \: selling price of the article}{} }{} \\ \frac{10}{100} \times \frac{41}{40} rs \\selling \: price \: = \: \frac{41x}{40x} rs - \frac{41x}{400} \\ = \frac{369x}{400} = \:9.9 \\ therefore \: x \: = \frac{3960}{369} = \: 10.23 rs$

$\sf{ \underline{ \green{the \: article \: cost \: 10.23 \: rs \: }{} }{} }{}$

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