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?
- 10%
- 8%
- 11%
- 12%
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%.
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