A trader bought two articles for ₹490. He sold one at a loss of 20% and the other at a profit of 16%. If the selling price of both articles is same, then the cost price (in ₹) of the article sold at 20% loss is:

290

Loss % = 20% =  \(\frac{1}{5}\)

Profit % = 16% =  \(\frac{29}{25}\)

           CP            SP

1st      5               4

2nd     25             29

Given SP is equal so make SP equal

           CP              SP

1st     ( 5               4 )× 29

2nd   ( 25             29)× 4

           CP              SP

1st     145           116

2nd    100           116

     ————————————

        245             232

245x = 490

145x = 290