In a certain city, 60% of the registered voters are congress supporters and the rest are BJP supporters. In an assembly election, if 75% of the registered congress supporters and 20% of the registered BJP supporters are expected to vote for candidate A, what percent of the registered voters are expected to vote for candidate A?
Question
In a certain city, 60% of the registered voters are congress supporters and the rest are BJP supporters. In an assembly election, if 75% of the registered congress supporters and 20% of the registered BJP supporters are expected to vote for candidate A, what percent of the registered voters are expected to vote for candidate A?
Solution
Sure, let's break it down:
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First, we know that 60% of the registered voters are Congress supporters. This means that the remaining 40% are BJP supporters (100% - 60% = 40%).
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Next, we're told that 75% of the Congress supporters are expected to vote for candidate A. To find out how many voters this represents, we multiply the total percentage of Congress supporters by the percentage that are expected to vote for candidate A (60% * 75% = 45%).
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We're also told that 20% of the BJP supporters are expected to vote for candidate A. Again, we multiply the total percentage of BJP supporters by the percentage that are expected to vote for candidate A (40% * 20% = 8%).
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Finally, to find out the total percentage of registered voters that are expected to vote for candidate A, we add the percentage of Congress supporters expected to vote for candidate A to the percentage of BJP supporters expected to vote for candidate A (45% + 8% = 53%).
So, 53% of the registered voters are expected to vote for candidate A.
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