1. The ratio of the number of students studying in Schools A, B and C is 4 : 8 : 3 respectively. If the number of students studying in each of the schools is increased by 80%, 20% and 60% respectively, what will be the new ratio of the number of students in Schools A, B and C.
(a) 8 : 3 : 4
(b) 4 : 2 : 3
(c) 2 : 3 : 4
(d) Can’t say
(e) None of these
EXPLANATION
(e)
Required ratio = (4*180) : (8 * 120) : (3 * 160)
= 3 : 4 : 2
2. A sum of Rs. 2135 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is
(a)Rs. 420
(b)Rs. 735
(c) Rs. 980
(d)Rs. 1200
(e)None of these
EXPLANATION
(a)
3A = 4B = 7C
A : B : C = 1/3:1/4:1/7=28:21:12
C’s share = 12/(28+21+12)*2135=420
3. The ratio of income of A and B is 5:4 and their expenditure is as 3:2. If at the end of the year, each saves Rs. 1200, then the income of A is
(a)Rs. 2550
(b)Rs. 2700
(c)Rs. 3000
(d)Rs. 3300
(e)None of these
EXPLANATION
(c)
Let the incomes of A and B be 5x and 4x respectively.
Now,
(5x-1200)/(4x-1200)=3/2
x = 600
Income of A = 5x = 3000
