Question

By selling an article for Rs570, Ratna lost5%. Find the cost price of the article.​

Answer 1

Answer:

sp=570

loss 5%

cost price =100-5/100x570

=95/100x570

=600

Answer 2

${\underline{\boxed{\mathcal{\pmb{\quad \ GIVEN \qquad}}}}}$

• Selling price [ SP ] is ₹ 570
• Loss % is 5%

${\underline{\boxed{\mathcal{\pmb{\quad TO \: FIND \qquad}}}}}$

• Cost price [ CP ] ?

${\underline{\boxed{\mathcal{\pmb{\quad SOLUTION \qquad}}}}}$

• We know that,

${ \underline{ \boxed{ \rm{CP = ( \frac{100\%}{100 - loss} ) \times \ SP }}}} \:$

• Now, Substitute the values :-

$\implies{ \rm{CP = ( \frac{100}{100 - 5}) \times 570}}$

$\implies{ \rm{ CP = ( \frac{100}{95}) \times 570}}$

$\implies{ \underline{ \boxed{ \pink{ \rm{CP =₹ \: 600}}}}}$

• Hence, the Selling price of an article is ₹ 600.

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${ \underline{ \purple { \rm{ More \: Information}}}}$

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