$16$ children are to be divided into two groups $A$ and $B$ of $10$ and $6$ children. The average percent marks obtained by the children of group $A$ is $75$ and the average percent marks of all the $16$ children is $76$. What is the average percent marks of children of group $B$?
- A$77 \frac{1}{3}$
- B$78 \frac{1}{3}$
- C$77 \frac{2}{3}$
- D$78 \frac{2}{3}$
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