For post A total people applied are 50% more than total number of people applied for post B. Number of girls applied for both post are same. if for post A, 70% boys applied find percentage of girls applied for post B

Given the problem, let's define the variables first:

- Let \( B \) be the total number of people who applied for post B.
- Therefore, the total number of people who applied for post A is \( 1.5B \) (50% more than for post B).
- Let \( G \) be the number of girls who applied for both posts A and B.

From the problem, we know that for post A, 70% of the applicants were boys. Thus, 30% of the applicants for post A were girls.

### Step-by-Step Solution

1. **Calculate the number of boys and girls for post A:**
   - Total applicants for post A: \( 1.5B \)
   - Boys applied for post A: \( 0.7 \times 1.5B = 1.05B \)
   - Girls applied for post A: \( 0.3 \times 1.5B = 0.45B \)

   Given that the number of girls applied for both posts are the same:
   \[
   G = 0.45B
   \]

2. **Determine the total number of applicants for post B:**
   \[
   B
   \]

3. **Calculate the number of boys applied for post B:**
   \[
   \text{Total applicants for post B} - \text{Number of girls for post B}
   \]
   Given \( G = 0.45B \), we get:
   \[
   \text{Number of boys for post B} = B - 0.45B = 0.55B
   \]

4. **Find the percentage of girls applied for post B:**
   \[
   \text{Percentage of girls for post B} = \left(\frac{G}{B}\right) \times 100 = \left(\frac{0.45B}{B}\right) \times 100 = 45\%
   \]

### Final Answer
The percentage of girls applied for post B is \( \boxed{45\%} \).

Would you like more details or have any questions? Here are some additional questions that might interest you:

1. What is the total number of boys applied for post A if \( B = 100 \)?
2. How does the percentage of girls compare between posts A and B?
3. If the number of applicants for post B is 200, how many girls applied for both posts?
4. What percentage of boys applied for post B?
5. How would the percentages change if the number of applicants for post A were double those for post B?
6. If 30 more girls applied for post A than post B, what would be the total number of applicants for post A?
7. How would the solution change if the percentage of boys for post A were 60% instead of 70%?
8. What is the ratio of boys to girls for post A?

**Tip:** When dealing with percentages in problems, it's helpful to convert them to fractions to simplify calculations.

Calculate the percentage of girls who applied for post B based on given data. This problem involves percentages and basic algebra, determining relationships between the number of applicants for different posts.

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