Understanding the Population Distribution Problem

This problem requires us to analyze a table showing the population distribution in five different villages (A, B, C, D, E). The distribution is broken down into percentages of males (M), females (F), and transgenders (T). Some percentages are missing and need to be calculated first to solve the question.

The question specifically asks for the ratio of the population of transgenders in Village C to the population of males in Village B. To find this ratio, we need to calculate the actual number of transgenders in Village C and the number of males in Village B using the provided percentages and total populations.

Calculating Missing Percentages in Village Population Data

In each village, the percentages of males, females, and transgenders must add up to 100%. We can use this fact to find the missing percentage values.

• Village B: The percentage of Males (M) is missing. We know F% = 33% and T% = 27%.
  M% = 100% - F% - T%
  M% = $100\% - 33\% - 27\%$
  M% = $100\% - 60\%$
  M% = $40\%$
• Village C: The percentage of Transgenders (T) is missing. We know M% = 32% and F% = 36%.
  T% = 100% - M% - F%
  T% = $100\% - 32\% - 36\%$
  T% = $100\% - 68\%$
  T% = $32\%$

We have now found the required percentages: 40% males in Village B and 32% transgenders in Village C.

Calculating Specific Populations from the Table

Next, we calculate the actual number of people in the categories required for the ratio:

• Transgender population in Village C:
  Total Population in Village C = 18,000
  Percentage of Transgenders in Village C = 32%
  Number of Transgenders in Village C = $32\%$ of $18,000$
  Number of Transgenders in Village C = $\frac{32}{100} \times 18,000$
  Number of Transgenders in Village C = $32 \times 180 = 5760$
• Male population in Village B:
  Total Population in Village B = 16,000
  Percentage of Males in Village B = 40% (calculated earlier)
  Number of Males in Village B = $40\%$ of $16,000$
  Number of Males in Village B = $\frac{40}{100} \times 16,000$
  Number of Males in Village B = $40 \times 160 = 6400$

Finding the Ratio of Transgenders in Village C to Males in Village B

The question asks for the ratio of the population of transgenders in Village C to the population of males in Village B.

• Ratio = (Transgender Population in Village C) : (Male Population in Village B)
• Ratio = $5760 : 6400$

Now, we simplify the ratio:

$\frac{5760}{6400}$

We can divide both the numerator and the denominator by common factors. Both are divisible by 10:

$\frac{576}{640}$

Both numbers are divisible by 64:

• $576 = 9 \times 64$
• $640 = 10 \times 64$

So, the ratio simplifies to:

$\frac{9}{10}$

Or written as a ratio:

$9 : 10$

Final Answer Derivation

The calculated ratio of the population of transgenders in Village C to the population of males in Village B is 9:10.

Revision Table: Key Calculations Review

Additional Information: Data Interpretation and Ratios

Data interpretation questions often involve tables or charts and require careful reading and calculation. When percentages are given, remember that the sum of percentages for all categories within a whole must be 100%. Ratios represent the relative size of two or more values. They can be written with a colon (:) or as a fraction. Simplifying a ratio means dividing both parts by their greatest common divisor to get the smallest possible whole numbers representing the same relationship.

In this problem, understanding how to calculate a percentage of a total number and how to simplify a ratio were key skills. Always check for missing values in tables and calculate them first if needed for the question.