The arithmetic mean of the scores of a group of students in a test was $52$. The brightest $20\%$ of them secured a mean score of $80$ and the dullest $25\%$ a mean score of $31$. The mean score of the remaining $55\%$ is
- A$45$
- B$50$
- C$51.4$ approx
- D$54.6$ approx
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