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In an election of 3 candidates A, Band C, A gets 50% more votes than B. A also beats C by 18,000 votes. If it is known that B gets 5% more votes than C, then find the number of voters on the voting list, given that 90% of the voters on the voting list voted and no votes were illegal.
1,00,000
81,000
90,000
1,10,000
To solve the problem, let's break it down:
- Let the votes for C be denoted by x.
- B receives 5% more votes than C: \( B = x + 0.05x = 1.05x \).
- A receives 50% more votes than B: \( A = 1.5 \times 1.05x = 1.575x \).
- A beats C by 18,000 votes: \( 1.575x - x = 18000 \).
- Solving this equation: \( 0.575x = 18000 \). Therefore, \( x = \frac{18000}{0.575} = 31304.35 \).
- Calculate total votes: \( A + B + C = 1.575x + 1.05x + x = 3.625x = 113501.03 \).
- Since 90% of voters voted: \( 0.9 \times \text{Voters} = 113501.03 \).
- Thus, total voters = \( \frac{113501.03}{0.9} = 126112.25 \).
1. Option 1: 1,00,000
2. Option 2: 81,000
3. Option 3: 90,000
4. Option 4: 1,10,000
These calculations show none of the options match the calculation exactly. However, approximating, the closest option is 1,10,000.
Correct Answer: Option 4: 1,10,000
.
By: Parvesh Mehta ProfileResourcesReport error
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