We'll Share The Bill

Tom and Harry are roommates whose ceiling lights are connected in a series circuit. They agreed to each install a $100 \text{ W}$ bulb in their rooms, and split the electricity bill equally.

However, Tom decides to get more light at Harry’s expense. Thinking that a higher wattage bulb is better, Tom installed a $200 \text{ W}$ bulb. Harry being fair, installed a $100 \text{ W}$ bulb.

Will Tom succeed in cheating Harry?

Details and Assumptions:

• Both the bulbs have equal voltage ratings.