A candidate got 33% of the votes polled and he lost to his rival by 833 votes.

A candidate got 33% of the votes polled and he lost to his rival by 833 votes. How many votes were cast?

Answer/Solution

2450

Steps/Work

Let x be the total number of votes.
0.33x + 833 = 0.67x
0.34x = 833
x = 833/0.34 = 2450
The answer is B.

Gain Calculator / Auto Solver

A candidate got % of the votes polled and he lost to his rival by votes. How many votes were cast?

Calculated Answer

2450

Step by Step Solution

In order to solve problem, you must evaluate n₁ / (1 - n₀ / 100 - n₀ / 100).

n₀ =	33
n₁ =	833

n₁ / (1 - n₀ / 100 - n₀ / 100)
Evaluate n₀ / 100 = 0.33
n₁ / (1 - 0.33 - n₀ / 100)
Evaluate 1 - 0.33 = 0.67
n₁ / (0.67 - n₀ / 100)
Evaluate n₀ / 100 = 0.33
n₁ / (0.67 - 0.33)
Evaluate 0.67 - 0.33 = 0.34
n₁ / 0.34
Evaluate n₁ / 0.34 = 2450
2450
The answer to the problem and the result of n₁ / (1 - n₀ / 100 - n₀ / 100) is 2450