The following table shows the total number of students in four different classes of a school, and the percentages of students.
participating in Music or Plays from each of these four different classes. NO student participates both in Music and in Plays.
|
Classes Total number of students in each class |
Percentage of participants |
||
|
Music |
Plays |
||
|
X |
600 |
12 |
8 |
|
IX |
400 |
10 |
6 |
|
VIII |
280 |
30 |
15 |
|
VIII |
250 |
10 |
12 |
What is the total number of students who do NOT participate in Music or Plays from classes X and VII, taken together?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e 675.
Total number of students from classes X and VII, taken together = 600+250
= 850 Eq.(i)
Total number of students who participate in Music or Plays from classes X and VII, taken together = 600 of (12 + 8) % + 250 of (10 +12)%
=600 of 20% + 250 of 22%
= 600 × 20/100 + 250 × 22 /100
= 120 + 55
= 175 Eq. (ii)
total number of students who do NOT participate in Music or Plays from classes X and VII,
taken together = Eq.(I) - Eq. (ii)
= 850 - 175
= 675