In the circuit shown below, a voltmeter of internal resistance R, When connected across B and C reads $\large\frac{100}{3}$ volts. Neglecting the internal resistance of the battery, the value of R is :

Question

 

$$\begin {array} {1 1} (1)\;100\;k \Omega & \quad (2)\;75\;k \Omega \\ (3)\;50\;k \Omega & \quad (4)\;25\;k \Omega \end {array}$$