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The election result in which six parties contested was depicted by a pie chart. Party A had an angle 135° on this pie chart. If it secured 21960 votes, how many valid votes in total were cast?

The election result in which six parties contested was depicted by a pie chart. Party A had an angle 135° on this pie chart. If it secured 21960 votes, how many valid votes in total were cast? Correct Answer 58560

Number of votes ∝ Angle made in pie chart

⇒ Angle made by party A/360 = Vote gained by party A/Total votes

⇒ 135/360 = 21960/Total votes

∴ Total votes = 58560

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