A meter bridge with two resistances $$R_{1}$$ and $$R_{2}$$ as shown in figure was balanced (null point) at 40 cm from the point $$P$$. The null point changed to 50 cm from the point $$P$$, when 16 $$\Omega$$ resistance is connected in parallel to $$R_{2}$$. The values of resistances $$R_{1}$$ and $$R_{2}$$ are ______

A

$$ R_{2}=16\Omega, R_{1}=\frac{16}{3}\Omega$$

B

$$ R_{2}=4\Omega, R_{1}=\frac{4}{3}\Omega$$

C

$$ R_{2}=8\Omega, R_{1}=\frac{16}{3}\Omega$$

D

$$ R_{2}=12\Omega, R_{1}=\frac{12}{3}\Omega$$