In a sale, a shopkeeper reduced the advertised selling price of a dress by 20%. This resulted in a profit of 4% over the cost price of the dress. What percentage profit would the shopkeeper have made if the dress had then been sold at the original selling price? HELP my dad will kill me if I don't finish this and I'm stuck on this question

30% profit

Step-by-step explanation:

The amount by which the shopkeeper reduced the advertised selling price = 20%

The resulting profit over the cost price = 4%

Let x represent the initial advertised selling price, and let y represent the new selling price, and let c represent the cost price, we have;

x - 20% of x = y

x - x × 20/100 = y

0.8·x = y

y = c + 4% of c = 1.04·c

∴ 0.8·x = 1.04·c

x = 1.04·c/0.8 = 1.3·c

x = 1.3·c = c + 0.3·c = c + 30% of c

x = c + 30% of c

From which we have that the initial advertised selling price, x = The cost price + 30% of the  cost price

Therefore, the initial advertised selling price = The cost price + 30%profit on   cost price.

The shopkeeper would have made 30% profit if the dress had then been sold at the original selling price.

konichiwa~! my name is zalgo and i am here to answer your anime-related question today. more than likely, kirishima would kill izuku, marry mino and kiss momo. all of this would be my opinion by the way. (and i am also a weeb lol)

i hope this you! : d

stay and stay proud! " - zalgo

(and do you think you can mark me as brainliest? i'd greatly appreciate it! arigato~! )

i would need to see the dot plot : )