A shopkeeper sold two items. The selling price of the first item equals the cost price of the second item. He sold the first item at a profit of 20% and the second item at a loss of 10%. What is his overall profit/loss percent?

Profit, $3 \frac{7}{11} \%$

            CP              SP

1st       5                6               (20% Profit)

2nd     10               9                 ( 10% Loss)

As, the selling price of the first item equals the cost price of the second item, multiply first item with 5 and second item with 3

            CP              SP

1st       5                6)×5              

2nd     10               9)×3     

            CP              SP

1st       25              30               

2nd     30               27   

      —————————————

         55                57 = Profit of 2

Profit percentage = \(\frac{2 × 100}{55}\)  = Profit, $3 \frac{7}{11} \%$