Math, asked by JoseF8446, 8 months ago

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

Answers

Answered by Anonymous
10

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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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