If SP of an article at loss of 30% is Rs 42 the CP of article is

1.	If SP of an article at loss of 30% is Rs 42 the CP of article is
Answer» align="absmiddle" alt="\sf{\bold{\GREEN{\UNDERLINE{\underline{Given}}}}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Csf%7B%5Cbold%7B%5Cgreen%7B%5Cunderline%7B%5Cunderline%7BGiven%7D%7D%7D%7D%7D%20" title="\sf{\bold{\green{\underline{\underline{Given}}}}}"> Selling Price = Rs. 42 loss = 30% ______________________ $\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$ Cost price = ?? ______________________ $\sf{\bold{\green{\underline{\underline{Solution}}}}}$ ⠀⠀⠀⠀ $\sf{\red{\boxed{\bold{Cost\: price = \dfrac{100}{100-loss}\times SP}}}}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ CP = \dfrac{100}{70} \times 42 }}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ CP = \dfrac{10}{7} \times 42 }}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ CP = 10 \times 6 }}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ CP = Rs. 60 }}$ ⠀⠀⠀⠀ ⠀⠀⠀⠀ ______________________ $\sf{\bold{\green{\underline{\underline{Answer}}}}}$ Cost price of an article = Rs. 60 ⠀⠀⠀⠀ Verification :- ⠀⠀ $\sf{\red{\boxed{\bold{Loss = CP - SP}}}}$ ⠀⠀⠀⠀ loss = 60 - 42 ⠀⠀⠀⠀ loss = Rs. 18 ⠀⠀⠀⠀ $\sf{\red{\boxed{\bold{loss\% = \dfrac{loss}{CP}\times 100}}}}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ loss\% = \dfrac{18}{60} \times 100 }}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ loss\% = \dfrac{18}{6} \times 10 }}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ loss\% = 3 \times 10}}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ loss\% = <klux>30</klux>\% }}$ ⠀⠀⠀⠀ ....Hence Verified

Answer»

align="absmiddle" alt="\sf{\bold{\GREEN{\UNDERLINE{\underline{Given}}}}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Csf%7B%5Cbold%7B%5Cgreen%7B%5Cunderline%7B%5Cunderline%7BGiven%7D%7D%7D%7D%7D%20" title="\sf{\bold{\green{\underline{\underline{Given}}}}}">