Question

By selling an article for ` 540, Ankit suffers a loss of 10%. Find its cost

price.​

Answer 1

$\huge\blue{solution}$

please refer to the attachment

I have taken the cp as x.

Answer 2

$\Large{\boxed{\underline{\rm{Given :- }}}}$

$\rm{\implies \; Selling \; price \; of \; article \; = Rs \; 540}$

$\rm{\implies \; Loss \; suffered \; = 10 \; percent }$

$\Large{\boxed{\underline{\rm{TO \; find :- }}}}$

$\rm{\implies Cost \; price \; of \; article }$

$\Large{\boxed{\underline{\rm{Solution :- }}}}$

Firstly we will write the formula used for calculating cost price when selling price is given  

$\boxed{\rm{\implies \; Formula \; of \; CP = \frac{100}{100- loss\; percent } \times SP }}$

Here , SP = 540 and Loss % = 10%

Now using this formula :-

$\rm{\implies \; CP = \frac{100}{100 - 10 } \times 540 }$

$\rm{\implies \;CP = \frac{100}{9} \times 54 }$

$\rm{\implies \; CP = 100 \times 6 \rightarrow \; 600 }$

$\boxed{\rm{\implies \; Cost \; price \; of \; article \; is \; Rs \; 600}}$

Some more Formulae :-

• $\rm{\implies\: CP = \frac{100}{100+ Profit \; percentage } \times SP }$

• $\rm{\implies\: SP = \frac{100 - loss \: percentage}{100 } \times CP }$

• $\rm{\implies\: SP = \frac{100 + Profit \: Percentage}{100 } \times CP }$