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In an election between A and B, 12% of the total voters did not cast their votes and 10% of the votes polledwere declared invalid. A received 56% of t
Question

In an election between A and B, 12% of the total voters did not cast their votes and 10% of the votes polledwere declared invalid. A received 56% of the valid votes and defeated B by 4752 votes. How many validvotes did B receive ?

A.

17424

B.

18522

C.

17204

D.

17318

Correct option is A

Given :

12% did not vote

Votes polled = 88% of Total voters

10% of votes polled were invalid

Valid votes = 90% of 88% of Total voters

A received 56% of valid votes

B received 44% of valid votes

A defeated B by 4752 votes

Solution :

Let total valid votes = V

Difference of votes
(56% - 44%) of valid votes = 12% of valid votes
12% of V = 4752

V =4752×10012= \frac{4752 \times 100}{12} = ​39,600
Votes received by B

= 44% of 39,600

= 44100×39,600\frac{44}{100} \times 39,600 ​= 17,424
​​​​

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