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In the US opinion polls held during August, 60% of the respondents favoured Walter Mondale while the rest favoured George W. Bush. It was found in September polls that 10% of Mondale supporters switched their preference to Bush, while the same percentage of Bush’s supporters also switched their preference toMondale. What percentage of the electorate should now switch their preference from Mondale to Bush so that they are at par?
- a)6%
- b)8%
- c)10%
- d)14%
Correct answer is option 'D'. Can you explain this answer?
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In the US opinion polls held during August, 60% of the respondents fav...
Let total respondents = 100
People favoured mandale = 60
People favoured Bush = 40
New no. favouring mandale = 60 – 6 + 4 = 58
New no. favouring Bush = 40 – 4 + 6 = 42
Required percentage = 8/58x100=14%
Most Upvoted Answer
In the US opinion polls held during August, 60% of the respondents fav...
Given information:
- In August, 60% of respondents favoured Mondale and the rest favoured Bush.
- In September, 10% of Mondale supporters switched to Bush and the same percentage of Bush supporters switched to Mondale.
To be at par, Mondale and Bush should have an equal percentage of supporters. Let x% of Mondale supporters switch to Bush in order to achieve this.
Calculation:
- Initially, 60% of respondents favoured Mondale and 40% favoured Bush.
- After September, the percentage of Mondale supporters decreased by 10% and the percentage of Bush supporters increased by 10%. This means that 54% of respondents now favour Mondale (60% - 10% of 60%) and 46% favour Bush (40% + 10% of 40%).
- To achieve parity, the percentage of supporters for both candidates should be 50% each. This means that the difference between the percentage of Mondale supporters and Bush supporters should be 0. Therefore, we have the equation:
(54 - x) - (46 + x) = 0
Solving for x, we get x = 14%.
Therefore, 14% of the electorate should switch their preference from Mondale to Bush to achieve parity between the two candidates.
- In August, 60% of respondents favoured Mondale and the rest favoured Bush.
- In September, 10% of Mondale supporters switched to Bush and the same percentage of Bush supporters switched to Mondale.
To be at par, Mondale and Bush should have an equal percentage of supporters. Let x% of Mondale supporters switch to Bush in order to achieve this.
Calculation:
- Initially, 60% of respondents favoured Mondale and 40% favoured Bush.
- After September, the percentage of Mondale supporters decreased by 10% and the percentage of Bush supporters increased by 10%. This means that 54% of respondents now favour Mondale (60% - 10% of 60%) and 46% favour Bush (40% + 10% of 40%).
- To achieve parity, the percentage of supporters for both candidates should be 50% each. This means that the difference between the percentage of Mondale supporters and Bush supporters should be 0. Therefore, we have the equation:
(54 - x) - (46 + x) = 0
Solving for x, we get x = 14%.
Therefore, 14% of the electorate should switch their preference from Mondale to Bush to achieve parity between the two candidates.
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In the US opinion polls held during August, 60% of the respondents favoured Walter Mondale while the rest favoured George W. Bush. It was found in September polls that 10% of Mondale supporters switched their preference to Bush, while the same percentage of Bush’s supporters also switched their preference toMondale. What percentage of the electorate should now switch their preference from Mondale to Bush so that they are at par?a)6%b)8%c)10%d)14%Correct answer is option 'D'. Can you explain this answer?
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In the US opinion polls held during August, 60% of the respondents favoured Walter Mondale while the rest favoured George W. Bush. It was found in September polls that 10% of Mondale supporters switched their preference to Bush, while the same percentage of Bush’s supporters also switched their preference toMondale. What percentage of the electorate should now switch their preference from Mondale to Bush so that they are at par?a)6%b)8%c)10%d)14%Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In the US opinion polls held during August, 60% of the respondents favoured Walter Mondale while the rest favoured George W. Bush. It was found in September polls that 10% of Mondale supporters switched their preference to Bush, while the same percentage of Bush’s supporters also switched their preference toMondale. What percentage of the electorate should now switch their preference from Mondale to Bush so that they are at par?a)6%b)8%c)10%d)14%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the US opinion polls held during August, 60% of the respondents favoured Walter Mondale while the rest favoured George W. Bush. It was found in September polls that 10% of Mondale supporters switched their preference to Bush, while the same percentage of Bush’s supporters also switched their preference toMondale. What percentage of the electorate should now switch their preference from Mondale to Bush so that they are at par?a)6%b)8%c)10%d)14%Correct answer is option 'D'. Can you explain this answer?.
In the US opinion polls held during August, 60% of the respondents favoured Walter Mondale while the rest favoured George W. Bush. It was found in September polls that 10% of Mondale supporters switched their preference to Bush, while the same percentage of Bush’s supporters also switched their preference toMondale. What percentage of the electorate should now switch their preference from Mondale to Bush so that they are at par?a)6%b)8%c)10%d)14%Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In the US opinion polls held during August, 60% of the respondents favoured Walter Mondale while the rest favoured George W. Bush. It was found in September polls that 10% of Mondale supporters switched their preference to Bush, while the same percentage of Bush’s supporters also switched their preference toMondale. What percentage of the electorate should now switch their preference from Mondale to Bush so that they are at par?a)6%b)8%c)10%d)14%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the US opinion polls held during August, 60% of the respondents favoured Walter Mondale while the rest favoured George W. Bush. It was found in September polls that 10% of Mondale supporters switched their preference to Bush, while the same percentage of Bush’s supporters also switched their preference toMondale. What percentage of the electorate should now switch their preference from Mondale to Bush so that they are at par?a)6%b)8%c)10%d)14%Correct answer is option 'D'. Can you explain this answer?.
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