Question

1. A man sells an article at a gain of 10%. If he had bought it for 10% less and sold it for
10 more, he would have gained 25%. Find the cost price of the article.​

Answer 1

Let x be cp of article.

He sold it for 10% profit.

Hence x+(10/100)x is sp

given If he had bought it for 10% less and sold it for Rs10 more than initial cp  he would have gained 25% i.e., x-(10/100)x is cp and sp is x+10+(10/100)x.Now profit is 25%.

i.e.,  [x-(10/100)x]+25/100[x-(10/100)x]=x+10+(10/100)x.

On solving this we get cp as 400/-

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