A man buys a machine for Rs. 5,000. After one year, he sells it for Rs. 6,000. After two years, he again buys the same machine at Rs. 8,000 and sells it for Rs. 10,000. Find his overall profit percentage for both the transactions.

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**Solution:**

1. For the first transaction:
   - Cost Price (CP) = Rs. 5000
   - Selling Price (SP) = Rs. 6000
   - Profit = SP - CP = 6000 - 5000 = Rs. 1000

2. For the second transaction:
   - Cost Price (CP) = Rs. 8000
   - Selling Price (SP) = Rs. 10000
   - Profit = SP - CP = 10000 - 8000 = Rs. 2000

3. Calculate total cost price and total profit:
   - Total CP = 5000 + 8000 = Rs. 13000
   - Total Profit = 1000 + 2000 = Rs. 3000

4. Calculate overall profit percentage:
   $$	ext{Overall Profit \%} = \frac{	ext{Total Profit}}{	ext{Total CP}} 	imes 100 = \frac{3000}{13000} 	imes 100 = 23.08\%$$

**Answer:** 23.08\%

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