Q.5 In a village, the ratio of number of males to females is 5 : 4. The
ratio of number of
literate males to literate females is 2 : 3. The ratio of the number of
illiterate males to
illiterate females is 4 : 3. If 3600 males in the village are literate, then
the total
number of females in the village is

Let’s break down the problem step-by-step:

1. **Define Variables for Males and Females:**
   - Let the number of males in the village be \(5x\).
   - Let the number of females in the village be \(4x\).

2. **Literate Males Calculation:**
   - We know 3600 males are literate, which corresponds to the literate males.
   - Given the ratio of literate males to literate females is \(2 : 3\), the number of literate females can be calculated using this ratio.

   Since \( \frac{\text{Literate Males}}{\text{Literate Females}} = \frac{2}{3} \):
   \[
   \text{Literate Females} = \frac{3}{2} \times 3600 = 5400
   \]

3. **Determine Total Males and Females:**
   - Since literate males are 3600, and they represent the literate portion of the male population, we use this information to determine the total population based on the initial male-to-female ratio of \(5 : 4\).

   - The total number of females in the village is \(5400\), based on the steps above.

So, the **total number of females in the village is 5400**.

Would you like a detailed breakdown or have any questions on specific parts?

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### Related Questions:
1. What is the total population in the village?
2. How many illiterate males are in the village?
3. What is the percentage of literate females in the village?
4. If the total population increases by 10%, how many males and females would there be?
5. How many illiterate females are in the village?

### Tip:
When working with ratios, always set variables to represent unknown quantities and form equations based on given information.

In a village, the ratio of the number of males to females is 5:4. The ratio of literate males to literate females is 2:3. The ratio of illiterate males to illiterate females is 4:3. If 3600 males in the village are literate, then what is the total number of females in the village?

Learn to solve a village population problem involving ratios of males to females, as well as literate and illiterate individuals. This solution shows step-by-step calculations to find the total number of females when 3600 males are literate. Ideal for Grades 7-8 students.

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