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In an election, the votes cast for two of the candidates were in the ratio 5 : 7. If the successful candidate received 20734 votes, how many votes did his opponent receive?

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Question

In an election, the votes cast for two of the candidates were in the ratio 5 : 7. If the successful candidate received 20734 votes, how many votes did his opponent receive?

Sum
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Solution

Given, ratio of votes for two candidates = 5 : 7

Let the votes are 5x and 7x.

For successful candidates votes are greater.

Hence, 7x = 20734

⇒ x = 2962

Number of votes of his opponent = 5x

= 5 × 2962

= 14810

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Chapter 8: Ratio and Proportion - Exercise [Page 129]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 8 Ratio and Proportion
Exercise | Q 84. | Page 129
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