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Two candidates contested in an election. One of them secured 62.5% of the total votes and won by 996 votes. What is the total number of votes cast?(all votes are valid)

A1594

B2656

C3984

D2988

Answer:

C. 3984

Read Explanation:

Let total votes = (x)

Winner got (62.5%=58)(62.5\% = \frac{5}{8}) of votes
Loser got remaining (37.5(37.5% = \frac{3}{8})

Difference in votes:

58x−38x=28x=14x\frac{5}{8}x - \frac{3}{8}x = \frac{2}{8}x = \frac{1}{4}x

Given difference = 996:
14x=996\frac{1}{4}x = 996
x=996×4=3984x = 996 \times 4 = 3984

Final Answer: 3984 votes


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