In a polling booth there are 1575 voters in total. Of these, 40% are male voters. A candidate receives 40% of the female votes. How many total votes does the candidate get?

Difficulty: Easy

Correct Answer: 378

Explanation:


Introduction / Context:
This is a percentage distribution problem. We are given total voters, the proportion of males, and the fraction of female votes a candidate secures. The goal is to compute the exact number of votes obtained by the candidate.


Given Data / Assumptions:

  • Total voters = 1575.
  • Male voters = 40% of 1575.
  • Female voters = remaining voters.
  • Candidate gets 40% of female voters.


Concept / Approach:
Use successive percentages. First find males, then females, then compute 40% of the female count. Keep arithmetic exact to avoid rounding errors.


Step-by-Step Solution:

Males = 0.4 * 1575 = 630Females = 1575 - 630 = 945Candidate's votes = 0.4 * 945 = 378


Verification / Alternative check:
40% equals 2/5; 2/5 of 945 = 189 * 2 = 378. Same result, confirming accuracy.


Why Other Options Are Wrong:

  • 945, 756, 630, 432: These correspond to totals or incorrect percentage applications. Only 378 correctly reflects 40% of the female voters.


Common Pitfalls:

  • Taking 40% of the total instead of only the females.
  • Computing females as 40% rather than 60% of the total.


Final Answer:
378

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