Question

an article bought at rps 40 was sold at 5 percentage loss find the price at which it is sold​

Answer 1

Given -

Article cost price is Rs. 40

Loss percentage is 5%

We have to find out the value of selling price.

As we know that,

Loss percentage $= \frac{cp - sp}{cp} \times 100$

Where,

CP = cost price

SP = selling price

Let, selling price of article is Rs x.

By putting given values in the formula we get

$5 = \frac{40-x}{40} \times 100$

Shift 100 to left it Becomes divisible to 5

$\frac{5}{100} = \frac{40-x}{40}$

By dividing 100 by 5 we get

$\frac{1}{20} = \frac{40-x}{40}$

Shift 40 to left it Becomes multiplied to 1/20

$\frac{1}{20} \times 40 = 40-x$

By dividing 40 by 20 we get

$1 \times 2 = 40-x$

$2 = 40-x$

$2- 40 = x$

$x = - 38$

Negative sign indicates loss occurred.

Hence,

The selling price of article is Rs. 38 .

Answer 2

Appropriate Question :-

An article was bought at Rs 40 and was sold at 5 % loss. Find the price at which it is sold.

$\large\underline{\sf{Solution-}}$

Given that,

Cost Price of an Article = Rs 40

Loss % = 5 %

We know,

Selling Price of an article is given by

$\boxed{\rm{  \:Selling \: Price \: = \: \frac{(100 - Loss\%) \times Cost \: Price}{100} \: }}$

So, on substituting the values, we get

$\rm \: Selling \: Price \: = \: \dfrac{(100 - 5) \times 40}{100}$

$\rm \: Selling \: Price \: = \: \dfrac{95 \times 2}{5}$

$\rm \: Selling \: Price \: = \: 19 \times 2$

$\rm\implies \:\rm \: Selling \: Price \: = \: 38$

Hence, Selling Price of an Article = Rs 38

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Additional Information :-

$\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{(100+Gain\%) or(100-Loss\%)}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}$