12 : 15 : 10
12 : 15 : 16
10 : 15 : 24
9 : 10 : 15
Correct answer is A
If p : q = 23 : 56, then the sum S1 of ratio = 23 + 56 = 96
If q : r = 34 : 12, then the sum S2 of ratio = 34 + 12 = 54
Let p + q = T1, then
q = (56÷96)T1 = (56×69)T1 = 59T1
Again, let q + r = T2, then
q = (34÷54)T2 = (34×45)T2 = 35T2
Using q = q
59T1 = 35T2
5 x 5T1 = 9 x 3T2
T1T2 = 9×35x5 = 2725
Giving that, T1 = 27 and T2 = 25
P = (23÷S1)T1 = (23÷96)T1
= (23×69)27 = 12
q = (56÷S1)T1 = (56÷96)T1
= (56×69)27 = 15
and r = (12÷S2)T2 = (12÷54)T2
= (12×45)25 = 10
Hence p : q : r = 12: 15 : 10
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