QR word problem question!!

Started by far123
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far123

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a shopkeeper sold a tV for 3125 $ with a 10% discount and made a 8% profit. if no disount was given , what would have been his profit percent?
 
Let x be the actual price of the TV without the discount and profit:

X - .1X + .08X = $3125
.98X = $3125
X = $3188

So the price of TV without the discount and just the profit would be:

$3188 x 1.08 = $3443
 
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this is how they solve it, which it does not make any sense to me:
if the cost price and marked price are x and y:
1080=1-08x ----->x=1000
1080=0.9y------->x=1200
y-x=200profit---->200x100/1000=20%