Question

by selling an article from₹540,a shopkeeper loses 10 percent.waht is the cost prize of the article​

Answer 1

Answer:

10% of 540 will be 54

then the cost price is =540+54

=594

hope this will helpful dear

Answer 2

Given :-

• Selling Price of the Article = Rs,540
• Loss % of Article = 10%

To Find :-

• Cost Price of the Article

Formula :-

$\bigstar \: \underline{\boxed{\sf{ C.P =\dfrac{100}{100-loss\%} \times S.P}}}$

Solution :-

${:} \longrightarrow \: \: \sf{ C.P =\dfrac{100}{100-loss\%} \times S.P} \\ \\ {:} \longrightarrow \: \: \sf{ C.P =\dfrac{100}{100 \: - \: 10} \times 540} \\ \\ {:} \longrightarrow \: \: \sf{ C.P =\dfrac{100}{90} \times 540} \\ \\ {:} \longrightarrow \: \: \sf{ C.P =\dfrac{100}{9 \cancel0} \times 54 \cancel0} \\ \\ {:} \longrightarrow \: \: \sf{ C.P =\dfrac{100}{\cancel9} \times \cancel{54}} \\ \\ {:} \longrightarrow \: \: \sf{ C.P \: = \: 100 \: \times \: 6} \\ \\ {:} \longrightarrow \: \: \bf{ C.P \: = \:Rs,600}$

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Therefore, Cost Price of the Article is Rs,600

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★ Additional Info :

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

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