(a) The potential difference across $300\ \Omega = 60 - 30 = 30V$ Therefore the effective resistance of voltmeter resistance $R$ and $400\ \Omega$ in parallel will be equal to $300\ \Omega$, as 60 V is equally divided between two parts. So 300$= \frac{R \times 400}{R + 400}$
or $300R\ + 120000 = 400R\ or\ R = 1200\ \Omega$