Question

If one thing is sold for Rs 45 the profit earn is 12.5 percent .If the same thing is sold for Rs 55 then how much profit earn .​

Answer 1

AnswEr :

$\bf{ 1st \:Situation}\begin{cases}\sf{SP = Rs. 45}\\\sf{Profit\% = 12.5\%}\\ \sf{CP = ?}\end{cases}$

• Calculation of Cost Price :

$\longrightarrow \tt SP = CP \times (100 + Profit)\% \\ \\\longrightarrow \tt 45 = CP \times (100 + 12.5)\% \\ \\\longrightarrow \tt 45 = CP \times 112.5\% \\ \\\longrightarrow \tt 45 = CP \times \dfrac{112.5}{100} \\ \\\longrightarrow \tt \cancel\frac{45 \times 1000}{1125} = CP \\ \\\longrightarrow \blue{\tt CP = Rs. \: 40}$

$\rule{300}{1}$

$\bf{2nd \:Situation}\begin{cases}\sf{CP = Rs. 40}\\\sf{SP = Rs. 55}\\\sf{Profit\% = ?}\end{cases}$

• Calculation of Profit Percentage :

$\implies \tt Profit\% = \dfrac{Profit}{CP}\times 100\\ \\\implies \tt Profit\% = \dfrac{(SP-CP)}{CP} \times100 \\ \\\implies \tt Profit\% = \dfrac{(55-40)}{40}\times100 \\ \\\implies \tt Profit\% = \dfrac{15}{40} \times100 \\ \\\implies \tt Profit\% = \cancel\dfrac{1500}{40} \\ \\\implies \large\boxed{ \red{ \tt Profit\% =37.5\%}}$

⠀

∴ Hence, Profit Percentage will be 37.5%

$\rule{300}{2}$

$\boxed{\begin{minipage}{7 cm}\underline{\text{Some Important Formulae Related to it :}}\\ \\ SP=CP\times(100+\sf Profit)\%\\ \\SP=CP\times(100-Loss)\%\\ \\Profit\%=\dfrac{Profit}{CP}\times100 \\ \\Loss\%=\dfrac{Loss}{CP}\times100\end{minipage}}$

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