By selling a radio to Opio at Sh275,000, Odongo made a profit of 10%. Opio sold the same radio at a loss of 8% to Joseph. Calculate the price Joseph bought the radio.

Let's first calculate the cost price for Odongo:

Cost price = Selling price / (1 + Profit%)

Cost price = 275,000 / (1 + 0.10)
Cost price = 275,000 / 1.10
Cost price = 250,000

Now, let's calculate the selling price for Opio:

Selling price = Cost price + Profit
Selling price = 250,000 + 25,000
Selling price = 275,000

Now, let's calculate the selling price for Joseph:

Selling price = 275,000 - (8% of 275,000)
Selling price = 275,000 - (0.08 * 275,000)
Selling price = 275,000 - 22,000
Selling price = 253,000

Therefore, Joseph bought the radio for Sh253,000.