AFTER ALLOWING A DISCOUNT OF 25% ON THE MARKET PRICE OF AN ARTICLE.THERE IS A GAIN OF 20 %. FIND THE PROFIT % IF THE ARTICLE IS SOLD AT THE MARKET PRICE WITHOUT DISCOUNT?????????????
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ʟᴇᴛ ᴍᴀʀᴋᴇᴛ ᴘʀɪᴄᴇ ʙᴇ 100
ᴀғᴛᴇʀ ɢɪᴠɪɴɢ 25ᴘᴇʀᴄᴇɴᴛ ᴅɪsᴄᴏᴜɴᴛ , sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = 100-25*100/100 = 75
ʙʏ sᴇʟʟɪɴɢ ᴛʜᴇ ᴀʀᴛɪᴄʟᴇ ᴀᴛ ʀs 75, ᴛʜᴇʀᴇ ɪs ᴀ ɢᴀɪɴ ᴏғ 20%.
ᴛʜɪs ɢᴀɪɴ ᴏғ 20% ɪs ᴏɴ ᴛʜᴇ ᴄᴏsᴛ ᴘʀɪᴄᴇ ᴏғ ᴀʀᴛɪᴄʟᴇ
ʟᴇᴛ ᴄᴏsᴛ ᴘʀɪᴄᴇ ʙᴇ ʀs x
sᴏ, x+( 20/100) *x = 75
6x/5 = 75
x = ʀs 62.5
sᴏ, ɪғ ᴛʜᴇ ᴀʀᴛɪᴄʟᴇ ɪs sᴏʟᴅ ᴀᴛ ᴍᴀʀᴋᴇᴛ ᴘʀɪᴄᴇ , ᴘʀᴏғɪᴛ = 100-62.5 = 37.5
ᴘʀᴏғɪᴛ ᴘᴇʀᴄᴇɴᴛ = 37.5/62.5 *100 = 60%
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