A man sells an article at a profit of 25% if he had bought it 20% less and sold it for Rs 10.50 less, he would have gained 30% find the cost price of the article.

Let the C.P be Rs x.  

First selling price = 125% of x = (125x / 100) = 5x / 4 

Second selling price = 80% of x = (80x / 100) = 4x / 5  

2nd selling price = 130% of (4x / 5) = (130 / 100) * (4x / 5)

= 26x / 25   

=> (5x / 4) – (26x / 25) = 10.50 

x = (10.50 * 100) / 21 = 50  

Cost price = Rs.50

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