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There are two candidates X and Y in an election. If X receives 5000 votes of Y, X would have 40% of the total votes casted to them. If initially Y received 80% of the total votes. Find the number of votes X received.1. 50002. 55003. 46004. 5600 |
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Answer» Correct Answer - Option 1 : 5000 Given: There are two candidates X and Y in an election. If X receives 5000 votes of Y, X would have 40% of the total votes casted to them. Y initially received 80% of the total votes. Formula used: Percentage increase/ decrease = [(new - actual)/actual] × 100% Calculation: Let the total votes be 100x, Initially Y received 80% of the total votes that means X received 20% votes. Y initial votes = 80x When X receives 5000 votes of Y, X would have 40% of total votes. Now, new votes of X = 40x and votes of Y = 60x Difference of votes 60x – 40x = 20x = 5000 (given) ⇒ x = 250 Total votes = 250 × 100 = 25000 ∴ Votes received by X = (20/100) × 25000 = 5000 |
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