a shopkeeper allows a discount of 20% on the marked price of an article and sells it for rs 896.by selling the article at the discount price if still gains 12% on his cost price what was the cost priceand what would have been his profitpercentage if he had sold the article at the marked price?
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let marked price be x
discount =20%
sp = x-x *(20/100)
=4x/5=896
x=1120 rs
896= 112%*cp
cp = 89600/112=800 Rs
if he had sold it for marked price 1120 rs then profit= 1120-800=320rs
hence profit % = 320/800*100=40%
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