Question
In a village 80% of votes were cast in an election. A
and B were the contestants. A won by 800 votes. If B had got 20% more votes, there would have been a tie between them. Find the number of recognised voters in the village?Solution
Let the votes received by A be x & B be y.
Now as per the given statements,
x – y = 800 .....(1) 120%y = x - 20 %y y = 5x/7 ------(2)
Using (3) to solve (1) we get x - 5x/7 = 800 2x/7 = 800 x = 2800, y = 2000 Now, we know that A & B collectively won 80% of total votes. If the total number of registered voters in the village be M,
80 %M = 2800 + 2000 = 4800 so, M = 4800/80 % = 6000
In how many different ways can the letter of the word ‘JUSTICE’ be arranged?
How many four-letter words without repetition having exactly two vowels can be formed by using the letters of the word "SEMINAR"?
From a group of 6 men and 5 women, a committee of 4 people is to be formed such that there is at least one woman in the committee. In how many ways can ...
Find the number of words that can be formed by using all letters of the word 'LAPTOP', if order of vowels remains same.
How many arrangements of the word COMMITTEE are possible if the vowels are always together?
From a group of 8 girls and 7 boys, a committee of 9 is to be formed. In how many ways can the committee be formed if it must include at least 6 girls?
In how many different ways can the letters of the word QUANTITY be arranged so that the vowels always come together?
- How many four-letter words without repetition having exactly two vowels can be formed by using the letters of the word "VINTAGER"?
A letter is randomly selected from the word "DETACHMENT." What is the probability that the selected letter is a vowel?
In how many different ways can the letters of the word “INCORPORATION” be arranged so that the vowels comes together?
Relevant for Exams:
