The charts given below represents data of number of students of four colleges P, Q, R and S. Based on the information given below, answer the questions that follow:

Note:
1. Number of girls in college Q is 10.
2. Difference between number of boys and girls in college P is 100. (Number of boys is greater than number of girls).

Which of the following is true statement?

The correct option is Total boys in college R is 360.

Step-by-step Explanation:

1. Extract Data from the Chart:
From the given pie chart, we are provided with the distribution of the total number of boys across four colleges: P, Q, R, and S.
The total number of boys across all four colleges is:

$\text{Total number of boys}=1200$

2. Find the percentage of boys in College R:
Looking at the chart, the sector representing College R is colored green and is labeled with a percentage value of:

$\text{Percentage of boys in College R}=30\%$

3. Calculate the number of boys in College R:
We can find the actual number of boys in College R by calculating 30% of the total number of boys (1200):

$\text{Number of boys in College R}=30\%\times 1200$

$\text{Number of boys in College R}=\frac{30}{100}\times 1200$

$\text{Number of boys in College R}=30\times 12=360$

Therefore, the statement "Total boys in college R is 360" is mathematically correct and true.