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  • In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

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\\ Total \ number \ of \ votes\ $=7500$\\ \\ \ 20 \%$ votes were invalid. \\ Therefore, $80 \%$ votes were valid. i.e., total valid votes $=7500 \times \frac{80}{100}$ \\ \\ $1^{\text {st }}$ candidate got $55 \%$ of the total valid votes. \\ \\ Hence $2^{\text {nd }}$ candidate got $45 \%$ of the total valid votes \\ \\ Therefore, valid votes that the 2nd candidate got $=7500 \times \frac{80}{100} \times \frac{45}{100}$ \\ $=75 \times \frac{4}{5} \times 45$ \\ $=75 \times 4 \times 9$ \\ $=300 \times 9$ \\ $=2700$

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Deependra Verma

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