I. Find the compound ratio of the following ratios.
(i) 2 : 3 and 5 : 12
(ii) m : n and n : p
(iii) (a−b): (a+b),(a−b)2: (a+b)2
Solution:
(i) Given that,
2 : 3 and 5 : 12
Compound ratio of 2 : 3 and 5 : 12 is
=2*5:3*12
=10:36
=5:18
(ii) Given that,
m : n and n : p
Compound ratio of m : n and n : p
=m*n:n*p
=mn/np
=m/p
(iii) Given that,
(a−b): (a+b),(a−b)2: (a+b)2
Compound ratio will be
=(a-b)(a−b)2: (a+b)(a+b)2
=(a-b)3:(a+b)3
II. Find the compound ratio of each of the following three ratios.
(i) 1 : 2, 4 : 7 and 7 : 8
(ii) a: b, b: c, and c : d
(iii) 2x : 3y, ab : y2 and y : b
Solution:
(i) Given that,
1: 2, 4: 7, and 7: 8