Answer:
The percentage of students signed up for neither canoeing nor trekking is 45% .
Option (A) is correct .
Step-by-step explanation:
Formula
[tex]Percentage = \frac{Part\ value\times 100}{Total\ value}[/tex]
As given
Out of the 150 students at a summer camp .
72 signed up for canoeing there were 23 students who signed up for trekking and 13 of those students also signed up for canoeing .
As the table is given below.
Total students signed up for canoeing and trekking = Student signed up for
canoeing + Students signed up for trekking - Number of students are signed up for  canoeing from students signed up for trekking .
Putting all the values in the above
Total canoeing nor trekking= 72 + 23 - 13
                        = 82
Thus
Number of students neither signed up for canoeing nor trekking = Total Number of students - Students signed up for canoeing nor trekking .
Number of students neither signed up for canoeing nor trekking = 150 - 82
                                                      = 68
Putting all the values in the formula
Part value = 68
Total value = 150
[tex]Percentage = \frac{68\times 100}{150}[/tex]
              = 45 % (Approx)
Therefore the percentage of students signed up for neither canoeing nor trekking is 45% .
Option (A) is correct .
