Question
Download Solution PDFIn an election, there were four candidates: A, B, C, and D. Out of a total of 7,500 votes, 5% were invalid. A got 20% of the valid votes, B got 100% more than A, and D got 40% less than B. How many votes did C receive?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total votes = 7500.
Invalid votes = 5% of total votes.
A's votes = 20% of valid votes.
B's votes = 100% more than A.
D's votes = 40% less than B.
Concept used:
The concept of percentages and total sum is used here.
Calculation:
Invalid votes = 5% of 7500 = 375.
Valid votes = Total votes - Invalid votes
⇒ 7500 - 375 = 7125.
Votes for A
⇒ 20% of 7125 = 1425.
Votes for B = 100% more than A = 1425 × 2 = 2850.
Votes for D = 40% less than B = 60% of 2850 = 1710.
Votes for C = Total valid votes - (Votes for A+ B+ D)
⇒ 7125 - (1425 + 2850 + 1710) = 1140.
∴ Candidate C received 1140 votes.
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