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help question maths gcse

in a sale the price of a cooker is reduced by 50% at the end of the sale the price is increased by 50%.

Betty says the price of the cooker is the same as b4
is she correct explain y

Reply 1

Imnotanerd

no, price changes as when the price decreases, say the price was $100 it would go down to $50 when reduced by 50% however when $50 is increased by 50% you get an answer of $75

Reply 2

username3162176

Original post by Imnotanerd

no, price changes as when the price decreases, say the price was $100 it would go down to $50 when reduced by 50% however when $50 is increased by 50% you get an answer of $75