The price of an article was cut 20% for a sale. By what percent must the item be increased to again sell the article at the original price
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ɪɴ ᴏʀᴅᴇʀ ᴛᴏ ᴀᴄʜɪᴇᴠᴇ ɪᴛs ᴏʀɪɢɪɴᴀʟ ᴘʀɪᴄᴇ, ᴛʜᴇ ɪᴛᴇᴍ's ᴘʀɪᴄᴇ ᴍᴜsᴛ ʙᴇ ɪɴᴄʀᴇᴀsᴇᴅ ғᴏʀ: 25%
ʟᴇᴛ's ᴀssᴜᴍᴇ ᴛʜᴀᴛ x = ᴏʀɪɢɪɴᴀʟ ᴘʀɪᴄᴇ (100 %)
ᴀғᴛᴇʀ ᴛʜᴇ ғɪʀsᴛ ᴄᴜᴛ,
x - 0.2 = 0.8x
ɴᴏᴡ, ᴡᴇ ɴᴇᴇᴅ ᴛᴏ ʀᴇᴛᴜʀɴ ɪᴛ ɪɴᴛᴏ x, ᴛᴇᴄʜɴɪᴄᴀʟʟʏ ᴡᴇ ɴᴇᴇᴅ ᴛᴏ ᴀᴅᴅ ɪᴛ ᴡɪᴛʜ 0.2 x ᴀɢᴀɪɴ, ʙᴜᴛ sɪɴᴄᴇ ᴛʜᴇ ᴘᴇʀᴄᴇɴᴛᴀɢᴇ ɴᴏᴡ ɪs ᴛᴀᴋᴇɴ ғʀᴏᴍ 0.8x, ᴛʜᴇ ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴ ᴡɪʟʟ ʙᴇ:
0.2x / 0.8x = 1/4 = 0.25 = 25%
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