Question

In an election between two candidates, 75 % of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes. Select one: a. 16700 b. 16800 c. 15700 d. 15800

Answer 1

Answer:

B

Step-by-step explanation:

We can work with fractions as follows ;

Total votes cast = 75/100 = 3/4

Total invalid votes = 2/100 of Total votes cast

= 1/50 × 3/4 = 3/200

Total valid votes = 3/4 - 3/200 = 147/200

75% of total valid votes = 3/4 × 147/200 = 441/800

441/800 = 9261

Total valid votes = 147/200 ÷ 441/800 × 9261

= 12348

147/200 = 12348

Total valid votes = 12348

Invalid votes = 3/200 ÷ 147/200 × 12348 = 252

Total cast votes = invalid votes + valid votes

= 252 + 12348 = 12600

75% of voters = 12600

100% = 100/75 × 12600 = 16800

Total voters = 16800 voters