Given 1/5 : 1/N = 1/N : 1/1.25
? 1/5 x 1/1.25 = 1/N x 1/N
? N2 = 5 x 1.25 = 6.25
? N = 2.5
7 : 5 = 7/15 = 0.466
15 : 23 = 15/23 = 0.652
17 : 25 = 17/25 = 0.68
and 21 : 29 = 0.724
? The smallest one is 7 : 15.
? 5 : 8 : : 40 : N
N = (40 x 8) / 5
? consequent N = 64
? (7 + N) / (13 + N) = 2/3
? 3(7 +N) = 2(13 + N)
? N = 5
From question, N : 1/27 = 3/7 : 5/9
? 5/9 x N = 1/27 x 3/7
? 5/9 x N = 1/63
? N = (1/63) x (9/5) = 1/35
Let the number be N,
From question, (6 + N) / (14 + N) = (18 + N) / (38 + N)
? (6 + N) x (38 + N ) = (18 + N ) x (14 + N )
? N2 + 44N + 228 = N2 + 32N + 252
? 12N = 24
? N = 2
? 1/3 A = 1/4, B = 1/5, C = x
Then, A = 3x, B = 4x and C = 5x
? A : B : C = 3x : 4x : 5x = 3 : 4 : 5
Req. ratio = (1/3 of Rs. 9.30) / (0.6 of Rs. 1.55)
= 3.10 / 0.93
= 310 / 93
= 10 / 3
? a / b = 2/3 and 2 / a = 1/2
? a/b x 2/a = 2/3 x 1/2
? 2/b = 1/3
? b = 6
? 2A = 3B and 4B = 5C
? 8A = 12B and 12B = 15C
? 8A = 12B = 15C = x
? A = x/8, B = x/12, C = x/15
So, A : C = x/8 : x/15 = 15 : 8
Let 2A = 3B = 4C = x
Then A = x/2, B = x/3 and C = x/4
? A : B : C = x/2 : x/3 : x/4
Hence A : B : C = 6 : 4 : 3
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