Q.In a class, 30% of the students gave their names
to participate in the NSS and 75% to participate in
the NCC. Three students participate in neither of
these two and six students wanted to participate in
both.
(a). What percentage of student wants to
participate only in the NSS?
A. 30%
B. 25%
C. 15%
D. 20%
(b). What percentage of students wants to
participate in only one programme-either NSS
or NCC?
A. 85%
B. 90%
C. 75%
D. 20%
Answers
20 % participate only in the NSS and 85 % participate in only one programme -either NSS or NCC
Step-by-step explanation:
Let say Total Students = 100S
Participate in NSS = 30S
Participate in NCC = 75S
Participated in both = 6
Participated in none = 3
100S = 75S + 30S - 6 + 3
=> 3 = 5S
=> S = 0.6
Total Students = 60
NSS = 18
NCC = 45
Only in NSS = 18 - 6 = 12
% = (12/60) * 100 = 20 %
Only in NCC = 45 - 6 = 39
participate in only one programme-either NSS or NCC = 12 + 39 = 51
% = (51/60) * 100 = 85 %
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Answer:
a)20%
b)85%
Step-by-step explanation:
let total number of students in the class be 'x'
students participated in NSS = 0.3x
students participated in NCC =0.75x
according to the question,
0.3x+0.7.5x-6+3=x
1.05x-3=x
1.05-x=3
.05x=3
5/100 x=3
x=3/5*100
x=60
students participated in NCC=0.75x
=0.75*60
=45
students participated in NSS=0.3*60=18
students wanted to participate only in NSS=18-6=12
=12/60*100=20%
students participated only in NCC=45-6=39
students wanted to participate in only one program=12+39=51
=51%60*100=85%