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The number of votes not cast for the PNC Party increased by 25% in the National General Election over those not cast for it in the previous Assembly Polls, and the PNC Party lost by a majority twice as large as that by which it had won the Assembly Polls. If a total 2,60,000 people voted each time, how many voted for the PNC Party in the previous Assembly Polls?
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The number of votes not cast for the PNC Party increased by 25% in the...
Introduction to Percentages
Percentages are ratios expressed as a fraction of 100. They are used to describe the relationship between two quantities or values. Percentages are commonly used in everyday life to compare prices, calculate discounts, and determine the percentage of a population that is affected by a certain disease. In mathematics, percentages are used in many areas, including finance, statistics, and probability.
Solution
Given:
- The number of votes not cast for the PNC Party increased by 25% in the National General Election over those not cast for it in the previous Assembly Polls.
- The PNC Party lost by a majority twice as large as that by which it had won the Assembly Polls.
- The total number of people who voted each time is 2,60,000.
Let's assume that x people voted for the PNC Party in the previous Assembly Polls.
Increasing votes not cast for the PNC Party
The number of votes not cast for the PNC Party in the National General Election is 25% more than that in the previous Assembly Polls.
Therefore, the number of votes not cast for the PNC Party in the National General Election is 1.25 times the number of votes not cast for it in the previous Assembly Polls.
Let's denote the number of votes not cast for the PNC Party in the previous Assembly Polls as y.
Therefore, the number of votes not cast for the PNC Party in the National General Election is 1.25y.
PNC Party's loss in the National General Election
The PNC Party lost by a majority twice as large as that by which it had won the Assembly Polls.
Let's denote the PNC Party's majority in the previous Assembly Polls as m.
Therefore, the PNC Party lost by a majority of 2m in the National General Election.
Total votes cast in each election
The total number of people who voted each time is 2,60,000.
Therefore, the total number of votes cast for the PNC Party in the previous Assembly Polls is x + m, and the total number of votes cast for the PNC Party in the National General Election is (0.75x) + (m + 2m), which simplifies to 0.75x + 3m.
Equating the total votes for the PNC Party in both elections
We can equate the total number of votes cast for the PNC Party in both elections to find the value of x.
x + m = 0.75x + 3m
0.25x = 2m
x = 8m
Therefore, 8 times the majority by which the PNC Party won the previous Assembly Polls is the number of votes cast for the PNC Party in the previous Assembly Polls.
In this case, we do not have information about the PNC Party's majority in the previous Assembly Polls, so we cannot calculate the exact number of votes cast for the PNC Party in the previous Assembly Polls.
Percentages are ratios expressed as a fraction of 100. They are used to describe the relationship between two quantities or values. Percentages are commonly used in everyday life to compare prices, calculate discounts, and determine the percentage of a population that is affected by a certain disease. In mathematics, percentages are used in many areas, including finance, statistics, and probability.
Solution
Given:
- The number of votes not cast for the PNC Party increased by 25% in the National General Election over those not cast for it in the previous Assembly Polls.
- The PNC Party lost by a majority twice as large as that by which it had won the Assembly Polls.
- The total number of people who voted each time is 2,60,000.
Let's assume that x people voted for the PNC Party in the previous Assembly Polls.
Increasing votes not cast for the PNC Party
The number of votes not cast for the PNC Party in the National General Election is 25% more than that in the previous Assembly Polls.
Therefore, the number of votes not cast for the PNC Party in the National General Election is 1.25 times the number of votes not cast for it in the previous Assembly Polls.
Let's denote the number of votes not cast for the PNC Party in the previous Assembly Polls as y.
Therefore, the number of votes not cast for the PNC Party in the National General Election is 1.25y.
PNC Party's loss in the National General Election
The PNC Party lost by a majority twice as large as that by which it had won the Assembly Polls.
Let's denote the PNC Party's majority in the previous Assembly Polls as m.
Therefore, the PNC Party lost by a majority of 2m in the National General Election.
Total votes cast in each election
The total number of people who voted each time is 2,60,000.
Therefore, the total number of votes cast for the PNC Party in the previous Assembly Polls is x + m, and the total number of votes cast for the PNC Party in the National General Election is (0.75x) + (m + 2m), which simplifies to 0.75x + 3m.
Equating the total votes for the PNC Party in both elections
We can equate the total number of votes cast for the PNC Party in both elections to find the value of x.
x + m = 0.75x + 3m
0.25x = 2m
x = 8m
Therefore, 8 times the majority by which the PNC Party won the previous Assembly Polls is the number of votes cast for the PNC Party in the previous Assembly Polls.
In this case, we do not have information about the PNC Party's majority in the previous Assembly Polls, so we cannot calculate the exact number of votes cast for the PNC Party in the previous Assembly Polls.
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The number of votes not cast for the PNC Party increased by 25% in the National General Election over those not cast for it in the previous Assembly Polls, and the PNC Party lost by a majority twice as large as that by which it had won the Assembly Polls. If a total 2,60,000 people voted each time, how many voted for the PNC Party in the previous Assembly Polls? Related: Introduction to Percentages?
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The number of votes not cast for the PNC Party increased by 25% in the National General Election over those not cast for it in the previous Assembly Polls, and the PNC Party lost by a majority twice as large as that by which it had won the Assembly Polls. If a total 2,60,000 people voted each time, how many voted for the PNC Party in the previous Assembly Polls? Related: Introduction to Percentages? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The number of votes not cast for the PNC Party increased by 25% in the National General Election over those not cast for it in the previous Assembly Polls, and the PNC Party lost by a majority twice as large as that by which it had won the Assembly Polls. If a total 2,60,000 people voted each time, how many voted for the PNC Party in the previous Assembly Polls? Related: Introduction to Percentages? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of votes not cast for the PNC Party increased by 25% in the National General Election over those not cast for it in the previous Assembly Polls, and the PNC Party lost by a majority twice as large as that by which it had won the Assembly Polls. If a total 2,60,000 people voted each time, how many voted for the PNC Party in the previous Assembly Polls? Related: Introduction to Percentages?.
The number of votes not cast for the PNC Party increased by 25% in the National General Election over those not cast for it in the previous Assembly Polls, and the PNC Party lost by a majority twice as large as that by which it had won the Assembly Polls. If a total 2,60,000 people voted each time, how many voted for the PNC Party in the previous Assembly Polls? Related: Introduction to Percentages? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The number of votes not cast for the PNC Party increased by 25% in the National General Election over those not cast for it in the previous Assembly Polls, and the PNC Party lost by a majority twice as large as that by which it had won the Assembly Polls. If a total 2,60,000 people voted each time, how many voted for the PNC Party in the previous Assembly Polls? Related: Introduction to Percentages? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of votes not cast for the PNC Party increased by 25% in the National General Election over those not cast for it in the previous Assembly Polls, and the PNC Party lost by a majority twice as large as that by which it had won the Assembly Polls. If a total 2,60,000 people voted each time, how many voted for the PNC Party in the previous Assembly Polls? Related: Introduction to Percentages?.
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