Calculating Valid Election Votes
This question involves calculating the number of valid votes cast in an election based on the total number of people on the electoral roll, the percentage of voters who cast their votes, and the percentage of those votes that were invalid.
Understanding the Given Information
- Total number of people on the electoral roll: 2,75,000
- Percentage of people who cast their votes: 90%
- Percentage of votes cast that were declared invalid: 15%
- We need to find the number of valid votes cast.
Calculating Total Votes Cast
First, let's determine the actual number of people who cast their votes.
Number of votes cast = Total on roll $\times$ Percentage who voted
Using LaTeX for the calculation:
$$ \text{Votes Cast} = 2,75,000 \times \frac{90}{100} $$ $$ \text{Votes Cast} = 2,75,000 \times 0.90 $$ $$ \text{Votes Cast} = 2,47,500 $$So, 2,47,500 people cast their votes.
Calculating the Number of Valid Votes
Next, we know that 15% of the votes cast were invalid. This means the remaining percentage represents the valid votes.
Percentage of valid votes = $100\% - \text{Percentage of invalid votes}$
Percentage of valid votes = $100\% - 15\% = 85\%$
Now, we calculate the number of valid votes based on the total votes cast:
Number of valid votes = Total votes cast $\times$ Percentage of valid votes
Using LaTeX for the calculation:
$$ \text{Valid Votes} = 2,47,500 \times \frac{85}{100} $$ $$ \text{Valid Votes} = 2,47,500 \times 0.85 $$ $$ \text{Valid Votes} = 2,10,375 $$Therefore, the number of valid votes cast was 2,10,375.
Similar Questions
A person, while trading the shares of a particular company, observes that its price has gone down by 10% from the previous day. In anticipation of increment on the next day, he holds it for the next day. But the share price further falls down by another 8% of the previous day. Then he sells his shares and gets ₹12,420. How much could he have saved had he sold it the previous day?
The price of an AC increases and decreases in every alternate year by $1\frac{3}{5}\%$. It started with an increase in 2004. The price of the AC in 2007, as compared to that in 2004 (correct to two places of decimals):
- The monthly income of Reena was ₹75,200 and her monthly expenditure was ₹22,500. Next year, her income increased by 25% and her expenditure by 14%. Find the percentage increase in her savings (rounded off to 2 decimal places).
- If 70 is subtracted from 70% of a number, the remainder is 70. What is the number?
The sum of the two numbers is 450. If the greater number is decreased by 4% and the smaller number is increased by 20%, then the numbers obtained are equal. The smaller number is:
- Akshara scores 85% in five subjects together. The subjects are Hindi, Science, Mathematics, English and Computers, where the maximum marks of each subject are 100. Akshara scores 75 marks in Hindi, 92 marks in Computers, 89 marks in Mathematics, and 81 marks in English. How many marks did Akshara score in Science?
- In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9,261 votes, which were 75% of the total valid votes. Find the total number of votes.
- The present population of a city is 60,000. If the rate of increase is 10% per year, find the population of the city after 2 years.
- If 23% of 'x' is 46, then 'x' is ________
- A man donates 5% of his monthly income to an orphanage and deposits 20% of the remaining income in a bank. If he is left with Rs.14,250, find his monthly income.
Important Questions from Percentage
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?
Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;
A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion of 5 : 6 : 7 : 8 : 9 : 10. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?
