What is the ratio of male to female who have voted from town B? | Mathematics MCQ | Examoogle

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What is the ratio of male to female who have voted from town B?

11 : 9

13 : 9

9 : 11

9 : 13

None of the above

Correct Answer

📐 MA • Math Ratio MethodMathematicsRatio & Proportion

Option A

11 : 9

Quick Summary:

Since the ratio of males to females is requested, the 'Total Voters' and 'Percentage who voted' terms cancel out entirely. Simply use the female percentage to find the male percentage ( $100\% - 45\% = 55\%$ for males) and find the ratio $55:45$ .

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📐MAMath SolutionRatio Method

📋 Given

For Town B: Total voters = 13500, Percentage who did not vote = 20%, Percentage of females among those who voted = 45%.

🔢 Formula Used

Ratio=Total Voters×(100%−Not Voted%)×(100%−Female%)Total Voters×(100%−Not Voted%)×Female%\text{Ratio} = \frac{\text{Total Voters} \times (100\% - \text{Not Voted}\% ) \times (100\% - \text{Female}\%)}{\text{Total Voters} \times (100\% - \text{Not Voted}\% ) \times \text{Female}\%}Ratio=Total Voters×(100%−Not Voted%)×Female%Total Voters×(100%−Not Voted%)×(100%−Female%)​

⚡ Exam Hall Shortcut / Speed Trick

⚠️ Common Student Trap / Pitfall

Students often calculate the absolute number of voters for Town B first, which is unnecessary and time-consuming, leading to potential calculation errors.

📊 Diagram / Illustration

🔢 Step-by-Step Solution

Analyze the ratio requirement

To find the ratio of male to female voters, we only need the percentage of females among those who actually voted. If $45\%$ are female, then $100\% - 45\% = 55\%$ are male.

Male%=100%−45%=55%\text{Male}\% = 100\% - 45\% = 55\%Male%=100%−45%=55%

Calculate the ratio

The ratio of male to female voters is the ratio of their respective percentages among the total number of people who voted.

Ratio=55:45\text{Ratio} = 55: 45Ratio=55:45

Simplify the ratio

Divide both parts of the ratio by their greatest common divisor, which is 5.

555:455=11:9\frac{55}{5}: \frac{45}{5} = 11: 9555​:545​=11:9

✅

A is correct because the ratio of males to females is calculated as $55\%: 45\%$ , which simplifies to $11: 9$ .

Core Concepts Used

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Ratio simplification Percentage distribution Data interpretation

💡 EXAM TIP

This type of ratio problem is common in Data Interpretation (DI) sections; always look to cancel common factors before performing arithmetic on large numbers.

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