In Marshall method of mix design, the coarse aggregate, fine aggregate, fines and bitumen having respective values of specific gravity $2.60, 2.70, 2.65$ and $1.01$, are mixed in the relative proportions ($\%$ by weight) of $55.0, \: 35.8, \: 3.7$ and $5.5$ respectively. The theoretical specific gravity of the mix and the effective specific gravity of the aggregates in the mix respectively are:

1. $2.42$ and $2.63$
2. $2.42$ and $2.78$
3. $2.42$ and $2.93$
4. $2.64$ and $2.78$