Quant Exam > Quant Questions > The number of votes not cast for the PNC Part...
Start Learning for Free
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?(1) 1,10,000(2) 1,50,000(3) 1,40,000(4) 1,20,000
? Related: Percentages questions with Answers
Most Upvoted Answer
The number of votes not cast for the PNC Party increased by 25% in the...
Problem: 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?
Solution:
Let the number of votes cast for the PNC Party in the previous Assembly Polls be x.
Number of votes not cast for the PNC Party in the previous Assembly Polls = 2,60,000 - x
The number of votes not cast for the PNC Party in the National General Election = (1 + 25/100) (2,60,000 - x) = 3,25,000 - 1.25x
The number of votes cast for the PNC Party in the National General Election = 2,60,000 - (3,25,000 - 1.25x) = 1.65x - 65,000
Let the majority by which the PNC Party won the Assembly Polls be y.
The PNC Party lost the National General Election by a majority twice as large as that by which it had won the Assembly Polls. Therefore, the majority by which the PNC Party lost the National General Election = 2y.
Therefore, the number of votes cast for the PNC Party in the National General Election = (2,60,000 - 2y) / 2
Equating the two expressions for the number of votes cast for the PNC Party in the National General Election, we get:
1.65x - 65,000 = (2,60,000 - 2y) / 2
Multiplying both sides by 2, we get:
3.3x - 1,30,000 = 2,60,000 - 2y
2y = 3.3x - 3,90,000
y = 1.65x - 1,95,000
Therefore, the PNC Party won the Assembly Polls by a majority of y = 1.65x - 1,95,000.
Substituting this value of y in the expression for the number of votes cast for the PNC Party in the National General Election, we get:
1.65x - 65,000 = (2,60,000 - 2(1.65x - 1,95,000)) / 2
Solving this equation, we get:
x = 1,40,000
Therefore, the number of votes cast for the PNC Party in the previous Assembly Polls is 1,40,000.
Answer: (3) 1,40,000
Solution:
Let the number of votes cast for the PNC Party in the previous Assembly Polls be x.
Number of votes not cast for the PNC Party in the previous Assembly Polls = 2,60,000 - x
The number of votes not cast for the PNC Party in the National General Election = (1 + 25/100) (2,60,000 - x) = 3,25,000 - 1.25x
The number of votes cast for the PNC Party in the National General Election = 2,60,000 - (3,25,000 - 1.25x) = 1.65x - 65,000
Let the majority by which the PNC Party won the Assembly Polls be y.
The PNC Party lost the National General Election by a majority twice as large as that by which it had won the Assembly Polls. Therefore, the majority by which the PNC Party lost the National General Election = 2y.
Therefore, the number of votes cast for the PNC Party in the National General Election = (2,60,000 - 2y) / 2
Equating the two expressions for the number of votes cast for the PNC Party in the National General Election, we get:
1.65x - 65,000 = (2,60,000 - 2y) / 2
Multiplying both sides by 2, we get:
3.3x - 1,30,000 = 2,60,000 - 2y
2y = 3.3x - 3,90,000
y = 1.65x - 1,95,000
Therefore, the PNC Party won the Assembly Polls by a majority of y = 1.65x - 1,95,000.
Substituting this value of y in the expression for the number of votes cast for the PNC Party in the National General Election, we get:
1.65x - 65,000 = (2,60,000 - 2(1.65x - 1,95,000)) / 2
Solving this equation, we get:
x = 1,40,000
Therefore, the number of votes cast for the PNC Party in the previous Assembly Polls is 1,40,000.
Answer: (3) 1,40,000
Community Answer
The number of votes not cast for the PNC Party increased by 25% in the...
1,10,000
|
Explore Courses for Quant exam
|
|
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?(1) 1,10,000(2) 1,50,000(3) 1,40,000(4) 1,20,000 Related: Percentages questions with Answers?
Question Description
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?(1) 1,10,000(2) 1,50,000(3) 1,40,000(4) 1,20,000 Related: Percentages questions with Answers? 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?(1) 1,10,000(2) 1,50,000(3) 1,40,000(4) 1,20,000 Related: Percentages questions with Answers? 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?(1) 1,10,000(2) 1,50,000(3) 1,40,000(4) 1,20,000 Related: Percentages questions with Answers?.
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?(1) 1,10,000(2) 1,50,000(3) 1,40,000(4) 1,20,000 Related: Percentages questions with Answers? 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?(1) 1,10,000(2) 1,50,000(3) 1,40,000(4) 1,20,000 Related: Percentages questions with Answers? 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?(1) 1,10,000(2) 1,50,000(3) 1,40,000(4) 1,20,000 Related: Percentages questions with Answers?.
Solutions 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?(1) 1,10,000(2) 1,50,000(3) 1,40,000(4) 1,20,000 Related: Percentages questions with Answers? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of 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?(1) 1,10,000(2) 1,50,000(3) 1,40,000(4) 1,20,000 Related: Percentages questions with Answers? defined & explained in the simplest way possible. Besides giving the explanation of
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?(1) 1,10,000(2) 1,50,000(3) 1,40,000(4) 1,20,000 Related: Percentages questions with Answers?, a detailed solution 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?(1) 1,10,000(2) 1,50,000(3) 1,40,000(4) 1,20,000 Related: Percentages questions with Answers? has been provided alongside types of 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?(1) 1,10,000(2) 1,50,000(3) 1,40,000(4) 1,20,000 Related: Percentages questions with Answers? theory, EduRev gives you an
ample number of questions to practice 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?(1) 1,10,000(2) 1,50,000(3) 1,40,000(4) 1,20,000 Related: Percentages questions with Answers? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup