Question

If an article is sold for rs 100 , then there is a gain of rs 20, find the gain percent

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Profit\%=25\%}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Selling \: price \: of \: article = 100 \: rupees \\ \\ \tt: \implies Profit = 20\:rupees \\ \\ \red{\underline \bold{To \: Find: }} \\ \tt: \implies Gain\% = ?$

• According to given question :

$\circ \: \text{Let \: cost \: price\:of\:article \: be \: x} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Selling \: price = Cost \: price + Profit \\ \\ \tt: \implies 100 = x + 20 \\ \\ \tt: \implies 100 - 20 = x \\ \\ \green{\tt: \implies x = 80} \\ \\ \bold{as \: we \: know \: that} \\ \tt: \implies Profit\% = \frac{Profit}{C.P} \times 100 \\ \\ \tt: \implies Profit\% = \frac{20}{80} \times 100 \\ \\ \tt: \implies Profit\% = \frac{200}{8} \\ \\ \green{\tt: \implies Profit\% =25\% } \\ \\ \green{\tt \therefore Profit\% \: of \: article \: is \: 25\%}$

Answer 2

$</p><p>\tt{\huge{\pink{Hello!!! }}}$

$</p><p>\tt{\red{Given \: - }}$

$</p><p>\tt{\blue{SP \: = \: Rs. \: 100. }}$

$</p><p>\tt{\purple{Gain \: = \: Rs. \: 20. }}$

$</p><p>\tt{\blue{CP \: = \: SP - Gain \: = Rs. \: 20. }}$

$</p><p>\tt{\orange {Step-By-Step-Explaination \: : }}$

Gain Percent :

Gain Percent is equal to $\dfrac{Gain}{CP} \times 100\%$

Hence In The Above Question,

$\tt{ \pink{Gain \: Percent \: = \frac{20}{80} \times 100\% \: = \: 25 \: }}$