Question

In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of votes cast in the election were 1,15,000, out of which 5,000 were invalid. Based on the data provided, the total number of valid votes received by the candidates B and C is:
\includegraphics[width=0.5\linewidth]{5.png}

• A. \( 45,000 \)
• B. \( 49,500 \)
• C. \( 51,750 \)
• D. \( 54,000 \)

Hint:

For pie chart-based problems, calculate the total valid votes first by subtracting invalid votes. Use the percentage values to find the required shares accurately.

Answer 1

The Correct Option is B

The total number of votes cast is \( 1,15,000 \), out of which \( 5,000 \) votes were invalid. Therefore, the number of valid votes is: \[ \text{Valid Votes} = 1,15,000 - 5,000 = 1,10,000 \] The shares of valid votes for the candidates are as follows: A: \( 40\% \) B: \( 25\% \) C: \( 20\% \) D: \( 15\% \) Step 1: Calculate the valid votes for B and C. The percentage of valid votes received by candidates B and C combined is: \[ 25\% + 20\% = 45\% \] The number of valid votes corresponding to \( 45\% \) is: \[ \text{Votes for B and C} = \frac{45}{100} \times 1,10,000 = 49,500 \]