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?

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:

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