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Total number of people: $X$

Promised vote for A = $\frac{3}{4}*X$

Promised vote for B = $\frac{1}{4}*X$

Actual vote for A = $\frac{3}{4}*X*\frac{9}{10}$

Actual vote for B = $\frac{1}{4}*X*\frac{8}{10}$

Given vote for B: 6400, solving for X gives, $X = 32000$

Margin of victor for A  = $\frac{3}{4}*X*\frac{9}{10} - \frac{1}{4}*X*\frac{8}{10} = \frac{19}{40}*X$

using $X = 32000$, gives

Margin = $15200$

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