Question

the marked price of an artivle is rs 500. aniket gives a discountof 5% and still makes a profit of 25% find the cost price of the article​

Answer 1

$\star \; {\underline{\boxed{\pmb{\green{\sf{ \; Given \; :- }}}}}}$

• Marked Price = Rs.500
• Discount % = 5 %
• Profit % = 25 %

$\star \; {\underline{\boxed{\pmb{\orange{\sf{ \; To \; Find \; :- }}}}}}$

• Cost Price = ?

$\star \; {\underline{\boxed{\pmb{\pink{\sf{ \; SolutioN \; :- }}}}}}$

$\maltese$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Selling \; Price = \bigg\lgroup \dfrac{100 - Discount \; \% }{100} \bigg\rgroup \times Cost \; Price }}}}}$

• ${\underline{\boxed{\pmb{\sf{ Cost \; Price = \dfrac{ 100 \times Selling \; Price }{100 + Profit \; \% } }}}}}$

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$\maltese$ Calculating the Selling Price after Discount % :

$\begin{gathered} \longmapsto \; \; \sf { Selling \; Price = \bigg\lgroup \dfrac{100 - Discount \; \% }{100} \bigg\rgroup \times Cost \; Price } \\ \end{gathered}$

$\begin{gathered} \longmapsto \; \; \sf { Selling \; Price = \bigg\lgroup \dfrac{100 - 5 }{100} \bigg\rgroup \times 500 } \\ \end{gathered}$

$\begin{gathered} \longmapsto \; \; \sf { Selling \; Price = \bigg\lgroup \dfrac{95}{100} \bigg\rgroup \times 500 } \\ \end{gathered}$

$\begin{gathered} \longmapsto \; \; \sf { Selling \; Price = \dfrac{ 95 \times 500}{100} } \\ \end{gathered}$

$\begin{gathered} \longmapsto \; \; \sf { Selling \; Price = \dfrac{ 95 \times \cancel{500}}{\cancel{100}} } \\ \end{gathered}$

$\begin{gathered} \longmapsto \; \; \sf { Selling \; Price = 95 \times 5 } \\ \end{gathered}$

$\begin{gathered} \longmapsto \; \; \; {\pmb{\underline{\underline{\purple{\sf{ Selling \; Price = ₹ \; 475 }}}}}} \end{gathered}$

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$\maltese$ Calculating the Selling Price he got Profit % :

$\begin{gathered} \dashrightarrow \; \; \sf { Cost \; Price = \dfrac{ 100 \times Selling \; Price }{100 + Profit \; \% } } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { Cost \; Price = \dfrac{ 100 \times 475 }{100 + 25 } } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { Cost \; Price = \dfrac{ 47500 }{ 125 } } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { Cost \; Price = \cancel\dfrac{ 47500 }{ 125 } } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \; {\pmb{\underline{\underline{\red{\sf{ Cost \; Price = ₹ \; 380 }}}}}} \end{gathered}$

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$\maltese$ Therefore :

❛❛ Cost Price of the article is ₹ 380 . ❜❜

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Answer 2

Step-by-step explanation:

MP = 500

D = 5%

SP= 500×95/100

= 475

P = 25%

CP = ?