This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Let T be the total number of voters in the list. Step 1: Determine the number of votes Ramagya received. Ramagya was supported by 54% of all the voters in the list. Votes for Ramagya = 0.54T Step 2: Calculate the number of voters who cast their votes. 12% of the voters did not cast their votes. Voters who cast votes = T - 0.12T = 0.88T Step 3: Calculate the number of valid votes. 84 voters cast blank ballot papers. Valid votes = Voters who cast votes - Blank votes = 0.88T - 84 Step 4: Determine the number of votes Shravan received. The total valid votes are distributed between Ramagya and Shravan. Votes for Shravan = Valid votes - Votes for Ramagya Votes for Shravan = (0.88T - 84) - 0.54T Votes for Shravan = 0.34T - 84 Step 5: Use the difference in votes to set up an equation. Ramagya got 1456 more votes than Shravan. Votes for Ramagya - Votes for Shravan = 1456 0.54T - (0.34T - 84) = 1456 0.54T - 0.34T + 84 = 1456 0.20T + 84 = 1456 Step 6: Solve for T. 0.20T = 1456 - 84 0.20T = 1372 T = (1372)/(0.20) T = (1372)/(20)100 T = (1372 × 100)/(20) T = 1372 × 5 T = 6860 The total number of voters in the list is 6860. This matches option (d). The final answer is 6860. Send me the next one 📸