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A man sells an article at a profit of 25...

A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs. 10.50 less, he would have gained 30%. Find the C.P. of the article.

Text Solution

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CP=x
profit=25%
SP=CP+profit
`=x+(x+25)/100=(5x)/4`
New BP=`x-(x+20)/100=x=x/5=4/5x`
New SP=`(5/4x-105)`
Profit=`5x/4-10.5-4/5x=(9x-210)/20`
Profit%=`(9x-210)/(20*4/5x)*100=30`
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