Percentages - Confusing

If a product costs x dollars and the discount is 20% we write it as (x)x(0.8) right?
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for this problem
I considered the following
Cost → x
Selling Price = (0.8)x ----> (As it mentioned 20% off i took 100-20 thats 80)
Cost Price = 80 —> given
Profit = 20%

Then i did 20% profit on 80 thats (1.20)x80 = 96
After that what shud I do

Why cant i use the formula → P = SP-CP

Hey you’re on the right track

You have SP as 0.8x
And you have the value 96, which is the price he needs to finally sell at, for a profit of 20% on the cost

Equate both of them to get -
0.8x = 96
So you get the final mark price as x = \frac{96}{0.8} = $120

Ans: D

P.S - We can confirm the answer by backsolving -
Reducing $120 by 20%, we get $96, which is the SP
And $96 is 20% profit on the cost of $80