Question

find the S.P of an article if its C.P=Rs.950,loss = 8%​

Answer 1

Answer :

The selling price of an article is 874.

Given :

• Cost Price of an article (CP) = Rs 950

• Loss % = 8 %

To calculate :

• Selling Price or the article (SP) = ?

Calculation :

As we know that,

SP when CP and Los % are given :

$\star \: \: \boxed{\pmb { \blue{ SP = \dfrac{100- Loss \: \%}{100 } \times CP}} }$

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Substituting values,

$\sf { \longrightarrow SP = Rs \Bigg \lgroup \dfrac{100-8}{100 } \times 950 \Bigg \rgroup }$

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$\sf { \longrightarrow SP = Rs \Bigg \lgroup \dfrac{92}{100} \times 950 \Bigg \rgroup}$ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf { \longrightarrow SP = Rs \Bigg \lgroup \dfrac{92}{10} \times 95 \Bigg \rgroup}$ ⠀

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$\sf { \longrightarrow SP = Rs \Bigg \lgroup \dfrac{92}{2} \times 19 \Bigg \rgroup}$ ⠀

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$\sf { \longrightarrow SP = Rs (46 \times 19)}$ ⠀

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$\longrightarrow \underline{\boxed{\pmb{SP = Rs \: 874 }}} \: \blue{\bigstar}$

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Henceforth,the cost price of the cow is Rs 10000.

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$\small\boxed{ \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \boldsymbol{Gain = S.P – C.P} \\ \\ \bigstar \:\boldsymbol{Loss = C.P – S.P} \\ \\ \bigstar \: \boldsymbol{Gain \: \% = \Bigg ( \dfrac{Gain}{C.P} \times 100 \Bigg )\%} \\ \\ \bigstar \: \boldsymbol{loss \: \% = \Bigg ( \dfrac{loss}{C.P} \times 100 \Bigg )\%} \\ \\ \bigstar \: \boldsymbol{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \boldsymbol{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \boldsymbol{ S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \boldsymbol{ C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array} }$