A candidate got 35% of the votes and lost to the rival by 1650 votes.

A candidate got 35% of the votes and lost to the rival by 1650 votes. How many votes were cast?

Answer/Solution

5500

Steps/Work

35%-----------L
65%-----------W
------------------
30% = 1650
10% = 550
100% of the votes = 5500
Answer: B

Gain Calculator / Auto Solver

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

Calculated Answer

5500

Step by Step Solution

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

n₀ =	35
n₁ =	1650

n₁ / (1 - n₀ / 100 - n₀ / 100)
Evaluate n₀ / 100 = 0.35
n₁ / (1 - 0.35 - n₀ / 100)
Evaluate 1 - 0.35 = 0.65
n₁ / (0.65 - n₀ / 100)
Evaluate n₀ / 100 = 0.35
n₁ / (0.65 - 0.35)
Evaluate 0.65 - 0.35 = 0.3
n₁ / 0.3
Evaluate n₁ / 0.3 = 5500
5500
The answer to the problem and the result of n₁ / (1 - n₀ / 100 - n₀ / 100) is 5500