Voltage of power supply, V = 220 V
Power rating of the first appliance = 60 W
So, current drawn by the first appliance = 60 / 220 = 0.27 A
Power rating of the second appliance = 500 W
So, current drawn by the second appliance = 500 / 220 = 2.27 A
Power rating of the first appliance = 1200 W
So, current drawn by the first appliance = 1200 / 220 = 5.45 A
Net current drawn by all the appliances = 0.27 + 2.27 + 5.45
= 5.99 A
It is given that the rating of the fuse is 10 A. It will not blow when all the appliances are used together because current capacity of the fuse is more than the value of current drawn by the device.