Question

61) Exactly a fifth of the number of students in
a university of strength 20,000 are ladies,
33 of every 40 students are
Maharashtrians, 13 out of every 16 gents
are Maharashtrians gents, 40% of non-
Maharashtrians gents and 55%
Maharastrians get have offered Arts
subjects, whereas 40% of ladies from
Maharashtra and equal percentage of non-
Maharashtrians ladies have offered Science
subjects. Find the number of non-
Maharashtrians ladies studying science
a) 150 b)200 c)250 d)175​

Answer 1

in a university 200 non-Maharashtrians ladies studying science

Step-by-step explanation:

Exactly a fifth of the number of students in a university of strength 20,000 are ladies

Total Students = 20000

Ladies = (1/5)20000  = 4000

=> Gents = 20000 -  4000 = 16000

33 of every 40 students are Maharashtrians

=> Maharashtrians = (33/40) * 20000 = 16500 Maharashtrians

13 out of every 16 gents are Maharashtrians gents,

=> Maharashtrians gents = (13/16) * 16000 = 13000

=> Non - Maharashtrians gents = 16000 - 13000 = 3000

Maharashtrians Ladies = 16500 - 13000 = 3500

Non - Maharashtrians Ladies =  4000 - 3500 = 500

40% of non- Maharashtrians gents and 55% Maharastrians get have offered Arts subjects,   = (40/100)*3000 + (55/100)*16500 = 10275

40% of ladies from Maharashtra and equal percentage of non-Maharashtrians ladies have offered Science subjects

= (40/100) * 3500 + (40/100)* 500  =  1600

non- Maharashtrians ladies studying science  = (40/100) * 500 = 200

200 non-Maharashtrians ladies studying science