A shopkeeper sells one-third of his goods at a profit of 10%, another one-third at a profit of 20%, and the rest at a loss of 6%.What is his overall profit percentage?

A shopkeeper sells one-third of his goods at a profit of 10%, another one-third at a profit of 20%, and the rest at a loss of 6%.What is his overall profit percentage?

Explanation

1. One-third of the goods are sold at a 10% profit, so the profit from this portion is:

(1/3) x 10% = 3.33%

2. Another one-third of the goods are sold at a 20% profit, so the profit from this portion is:

(1/3) x 20% = 6.67%

3. The rest (1/3) of the goods are sold at a 6% loss, so the loss from this portion is:

(1/3) x (-6%) = -2%

4. Add up the profits and losses to find the overall profit percentage:

3.33% + 6.67% - 2% = 8%

So, the shopkeeper's overall profit percentage is 8%.