10% of A = 20% of B
? 10/100 x A = 20/100 x B
? A/10 = B/5
? A/B = 10/5 = 2
Hence, A : B = 2 : 1
0.6 x a = 0.09 x b
? a/b = 0.09 / 0.06 = 9 / 60 = 3 / 20 = 3 : 20
A : B = 7
and B : C = 3 : 5 = 9 : 15
? A : B : C = 7 : 9 : 15
L.C.M. of 7 and 6 is 42
? A : B = 5 : 7 = 30 : 42
and B : C = 6 : 11 = 42 : 77
Hence A : B : C = 30 : 42 : 77
Let A = x
Then B = 3x, C = 2B = 6x
&there4 A : B : C = x : 3x : 6x = 1 : 3 : 6
? A/D = (A/B) x (B/C) x (C/D) = (2/3) x (4/5) x (6/7) = 16/35
? A : D = 16 : 35
A/B = 2/3 and B/C = 4/5
? A/C = (A/B) x (B/C) = (2/3) x (4/5) = (8/15)
So, C : A = 15 : 8
? 20 kg of brass contains zinc = 13 kg
? 100 kg of brass contains zinc = (13/20) x 100 kg. = 65 kg.
Data inadequate
? P : (Q + R) = 2 : 5
? p's share = Rs. 1050 x (2/7) = Rs. 300
A : (B + C) = 2 : 9
? A's share = Rs. (385 x 2/11) = Rs. 70
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