# By selling a stool for Rs. 240, a carpenter loses 20%. How much %would he gain or lose by selling it for Rs. 360????!!!!!!!!??????

$Let\;cp\;of\;stool\;be\;x\\*at\;sp=240,\;loss\%=20\\* loss\; \%=\frac{cp-sp}{cp}\times 100\\* 20=\frac{x-240}{x}\times 100\Rightarrow x=300\\* So,\;cp\;of\;stool\;is\;300\\* as\;we\;can\;see\;that\;sp=360\;is\;greater\;than\;cp=300\;so\;he\;will\;gain\;profit\\* gain\;\%=\frac{sp-cp}{cp}\times 100=\frac{360-300}{300}\times 100\\* gain\;\%=20\%\\* Hence,\;he\;will\;gain\;20\%\;profit\;when \;he\;will\;sell\;stool\;for\;Rs\;360.$

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