A man sells an article at 5% above its cost price. If he had bought it at 5% less than what he had paid for it and sold it at Rs 2 less, he would have gained 10%. Find the cost price of the article.
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let the cost price is x rs
sp = x+x*5/100=105x/100 rs
if cost price was x -5x/100= 95 x/100 rs
sp = 105x/100-2 rs
(105x/100)-2=110% of 95x/100
or (105x/100)-(10450x/10000)=2
or 50x/10000=2 or x=400
so cp of that article is 400 rs
sp = x+x*5/100=105x/100 rs
if cost price was x -5x/100= 95 x/100 rs
sp = 105x/100-2 rs
(105x/100)-2=110% of 95x/100
or (105x/100)-(10450x/10000)=2
or 50x/10000=2 or x=400
so cp of that article is 400 rs
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