The core loss of a single phase, $230$/$115$ $V$, $50$ $Hz$ power transformer is measured from $230$ $V$ side by feeding the primary ($230$ $V$ side) from a variable voltage variable frequency source while keeping the secondary open circuited. The core loss is measured to be $1050$ $W$ for $230$ $V$, $50$ $Hz$ input. The core loss is again measured to be $500$ $W$ for $138$ $V$, $30$ $Hz$ input. The hysteresis and eddy current losses of the transformer for $230$ $V$, $50$ $Hz$ input are respectively,
1. $508$ $W$ and $542$ $W$.
2. $468$ $W$ and $582$ $W$.
3. $498$ $W$ and $552$ $W$.
4. $488$ $W$ and $562$ $W$.