A bulb marked $100\ \text{W}$, $220\ \text{V}$ and a bulb marked $60\ \text{W}$, $220\ \text{V}$ are joined in series. Take the resistance of each bulb as constant. Two statements are given below. Statement I: Across a $220\ \text{V}$ supply, the $60\ \text{W}$ bulb glows more brightly than the $100\ \text{W}$ bulb. Statement II: Across a $440\ \text{V}$ supply, the $100\ \text{W}$ bulb is the first to receive more than its rated voltage.