Question

On selling price of an article for Rs 800, a shopkeeper earn a profit of 30%. find the cost of the article ?​

Answer 1

Given Information :-

On selling price of an article for Rs 800, a shopkeeper earn a profit of 30%. find the cost of the article ?

• Selling Price of an article = ₹800
• Earn a profit = 30%
• cost of an article = ?

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$\begin{gathered}\small\maltese \: \sf \pink{Formlua \: Required :- } \\ \\{ \rm{\dashrightarrow{Cost \: price = \frac{SP \times 100}{100 \: + \: Profile \% } }}} \\ \\ \\ \small \maltese \:\sf\pink{Substituting \: the \: Values :- } \\ \\ \small \sf{CP= \frac{800 \times 100}{100 + 30 \%} } \\ \\\small\sf{ CP=\frac{ \cancel{8000 0}}{ \cancel{130}} } \\ \\ \small \sf{CP = 615.38} \\ \\ \small{ \sf{Hence, \:Cost \: price \: of \: an \: article \: is \: 615.38}} \end{gathered}$

${\large{\underline{\underline{\bf{Learn \: More\: : - }}}}}$

$\small\purple{\underline{\boxed{\bf{ Simple \: Interest = \dfrac{P \times R \times T}{100}}}}}$

$\small\purple{\underline{\boxed{\bf{Amount={P{\bigg(1 + \dfrac{R}{100}{\bigg)}^{T}}}}}}}$

$\small\purple{\underline{\boxed{\bf{Amount = Principle + Interest}}}}$

$\small\purple{\underline{\boxed{\bf{ Principle=Amount - Interest }}}}$

$\small\purple{\underline{\boxed{\bf{Principle = \dfrac{Amount\times 100 }{100 + (Time \times Rate)}}}}}$

$\small\purple{\underline{\boxed{\bf{Principle = \dfrac{Interest \times 100 }{Time \times Rate}}}}}$

$\small\purple{\underline{\boxed{\bf{Rate = \dfrac{Simple \: Interest \times 100}{Principle \times Time}}}}}$