A shopkeeper takes a 10% profit on his goods. He lost 20% of his goods during a theft. What is his loss percentage?

Let's assume the cost price of the goods is $100.

Profit percentage = 10%
Profit = 10% of $100 = $10

Selling price = Cost price + Profit
Selling price = $100 + $10 = $110

Now, the shopkeeper lost 20% of his goods during a theft.
Loss percentage = 20%
Loss = 20% of $100 = $20

After the theft, the remaining goods he has are worth $80 (100 - 20).

Now, let's calculate the overall loss percentage:
Loss percentage = (Loss / Selling Price) * 100
Loss percentage = ($20 / $110) * 100
Loss percentage = 18.18%

Therefore, the shopkeeper's overall loss percentage is 18.18%.

Let the cost price of the goods be Rs. 100.

Then, selling price of the goods = 100 + 10% of 100 = Rs. 110.

Loss incurred due to theft = 20% of 100 = Rs. 20.

Therefore, selling price of the remaining goods = 110 - 20 = Rs. 90.

Loss percentage = (110 - 90)/110 - 100 = 20/110 - 100 = 18.18%

Hence, the shopkeeper's loss percentage is 18.18%.

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