First, we need to convert the power consumption of the electric stove cooker from kilowatts to watts:
1.25 kW = 1,250 watts
Then, we add the power consumption of both appliances:
250 watts + 1,250 watts = 1,500 watts
To calculate the appropriate fuse, we divide the total power consumption by the voltage:
1,500 watts / 240 volts = 6.25 amps
Therefore, an 6.25-amp fuse would be appropriate for these appliances.