Question

If the SP of 20 articles is equal to the CP of 23 articles ,find the loss or gain percent for each article.​

Answer 1

$\huge \bold \green{QUESTION}$

If the SP of 20 articles is equal to the CP of 23 articles ,find the loss or gain percent for each article.

$\huge \bold \green{ANSWeR}$

According to the question :

Sp of 20 articles = cp of 23 articles

so lets take it x

ie.

$\bold \purple{sp \: of \: 20 \: articles = cp \: of \: 23 \: articles \: } = x$

So,

Sp of 1 article will be x/20

cp of 2 articles will be x/23

profit= x/20-x/23

= 3x/460

$\bold \purple{profit\% = \frac{3x}{460} \times \frac{23}{x} \times 100} \\ \boxed{15\%}$

Answer 2

Answer:

$\underline{\bigstar\:\textsf{According to the Question :}}$

$:\implies\texttt{SP of 20 = CP of 23}\\\\\\:\implies\tt SP \times 20 = CP \times 23\\\\\\:\implies\tt \dfrac{SP}{CP} = \dfrac{23}{20}\\\\\\:\implies\tt SP = 23\qquad and\qquad CP = 20$

$\rule{200}{1}$

$\underline{\bigstar\:\textsf{Gain Percentage :}}$

$\dashrightarrow\tt\:\:Gain\%=\dfrac{(SP-CP)}{CP} \times 100\\\\\\\dashrightarrow\tt\:\:Gain\%=\dfrac{(23-20)}{20} \times 100\\\\\\\dashrightarrow\tt\:\:Gain\%=\dfrac{3}{20} \times 100\\\\\\\dashrightarrow\tt\:\:Gain\%=3 \times 5\\\\\\\dashrightarrow\:\:\underline{\boxed{\red{\tt Gain\%=15\%}}}$

⠀

$\therefore\:\underline{\textsf{Gain percent for articles will be \textbf{15\%.}}}$

$\rule{200}{2}$

$\boxed{\begin{minipage}{6.5 cm}\underline{\text{Some Important Formulae Related to it :}}\\ \\ SP=CP\times(100+\sf Profit)\%\\ \\SP=CP\times(100-Loss)\%\\ \\Profit\%=\dfrac{Profit}{CP}\times100 \\ \\Loss\%=\dfrac{Loss}{CP}\times100\end{minipage}}$