In a school, the number of students participating in Dance and Play across different classes is given below:

| Class | Total Students | % Participating in Dance | % Participating in Play |
|-------|----------------|-------------------------|------------------------|
| VI | 500 | 15\% | 8\% |
| VII | 400 | 10\% | 6\% |
| VIII | 360 | 25\% | 10\% |
| IX | 250 | 10\% | 12\% |

What is the percentage of students participating in Dance from class VII with respect to the students participating in Play from class IX?

Question

In a school, the number of students participating in Dance and Play across different classes is given below:

| Class | Total Students | % Participating in Dance | % Participating in Play |
|-------|----------------|-------------------------|------------------------|
| VI    | 500            | 15\%                    | 8\%                    |
| VII   | 400            | 10\%                    | 6\%                    |
| VIII  | 360            | 25\%                    | 10\%                   |
| IX    | 250            | 10\%                    | 12\%                   |

What is the percentage of students participating in Dance from class VII with respect to the students participating in Play from class IX?

Accepted Answer

**Solution:**

1. Calculate the number of students participating in Dance from class VII:
   - Total students in class VII = 400
   - Percentage participating in Dance = 10\%
   - Number participating in Dance = $ \frac{10}{100} \times 400 = 40 $

2. Calculate the number of students participating in Play from class IX:
   - Total students in class IX = 250
   - Percentage participating in Play = 12\%
   - Number participating in Play = $ \frac{12}{100} \times 250 = 30 $

3. Find the required percentage:
   $$
   \text{Required percentage} = \frac{\text{Dance participants in VII}}{\text{Play participants in IX}} \times 100 = \frac{40}{30} \times 100 = 133 \frac{1}{3} \% 
   $$

**Answer:** $133 \frac{1}{3}\%$

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