https://file.aiquickdraw.com/mathbot/file/17294398801768q2milu2.jpg

The question in the image appears to be in Marathi and translates as follows:

"If A is 120% of B, then B is what percentage of (A + B)?"

### Solution:

Given:
- \( A = 120\% \text{ of } B \)
- We need to find \( B \) as a percentage of \( (A + B) \).

1. First, express \( A \) in terms of \( B \):
   \[
   A = 120\% \text{ of } B = 1.2B
   \]

2. Now, find \( B \) as a percentage of \( (A + B) \):
   \[
   A + B = 1.2B + B = 2.2B
   \]
   
   The percentage of \( B \) in \( (A + B) \) is:
   \[
   \frac{B}{A + B} \times 100 = \frac{B}{2.2B} \times 100 = \frac{1}{2.2} \times 100 \approx 45.45\%
   \]

Thus, \( B \) is approximately **45.45%** of \( (A + B) \).

Would you like more details on this solution or further clarification?

### Related Questions:
1. What if \( A \) was 150% of \( B \)? What percentage of \( (A + B) \) would \( B \) be?
2. How would the answer change if \( A = 80\% \text{ of } B \)?
3. What happens if \( A \) and \( B \) were equal? What would \( B \)'s percentage be then?
4. Can you derive a general formula for the percentage of \( B \) in \( (A + B) \) for any given percentage of \( A \) with respect to \( B \)?
5. If \( B \) is 70% of \( (A + B) \), what percentage of \( B \) is \( A \)?

### Tip:
To solve percentage problems quickly, express all given quantities as fractions or decimals first. This helps streamline calculations!

जर A हे B च्या 120% असेल, तर B हे (A + B) च्या किती टक्के असेल?

Learn how to calculate what percentage B is of (A + B) if A is 120% of B. This involves understanding percentages and simple algebra. The problem is suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation