Let a/3 = b/8 = K
Then, a = 3K, b = 8K
? (a + 3) / (b + 8) = (3K + 3) / (8K + 8)
= [3( K + 1)] / [8(K+1)] = 3/8
? ( a + 3 ) : (b + 8) = 3 : 8
Let 1/x = 2K, 1/y = 3K and 1/z = 5K
Then, x = K/2, Y = K/3 and z = K/5
? x : y : z = K/2 : K/3 : K/4
= 1/2 : 1/3 : 1/5
= 15 : 10 : 6
Given that 0.8 x A = 0.09 x B
? A/B = 0.09/0.8 = 9/80
? A : B = 9 :80
Given that, A = B/4
? A/B = 1/4 or A : B = 1 : 4
Also, B = C/2 or B/C = 1/2 or B : C = 1 :2
Now, we have A : B = 1 : 4; B : C = 1 : 2
A : B : C = ( 1 x 1 ) : ( 1 x 4 ) : ( 2 x 4 )
= 1 : 4 : 8
Given that, P : Q : R = 2 : 3 : 4
Let P = 2K, Q = 3K, R = 4K
? P/Q = 2K/3K = 2/3,
Q/R = 3K/4K = 3/4,
R/P = 4K/2K = 2/1
? P/Q : Q/R : R/P = 2/3 : 3/4 : 2/1
= (2 x 12)/3 : (3 x 12)/ 4 : (2 x 12)/1
= (2 x 4) : (3 x 3) : 24
= 8 : 9 : 24
Given that, 30 % of A = 20 % of B
? A/B = 20/30 = 2/3
? A : B = 2 : 3
1/2 of A = 2/5 of B = 1/3 of C
1/2 x A = 2/5 x B = 1/3 x C
Let A/2 = 2B/5 = C/3 = K
Then, A = 2K, B = 5K/2, C = 3K
? A: B : C = 2k : 5k/2 : 3k
? A: B : C = 4 : 5 : 6
xy =36
? xy = 4 x 9,
? x/9 = 4/y
? x : 9 = 4 : y
Number of boy = ( 2140 - 1200 ) = 940
? Boys : Girls = 940 : 1200 = 47 : 60
Ratio of Speed = 2 : 3 : 4
Ratio of time taken = (1/2) : (1/3) : (1/4) = 6 : 4 : 3
Given that, P : Q = 8 : 15, Q : R = 3 : 2
P : Q : R = (8 x 3) : (15 x 3) : (15 x 2) = 24 : 45 : 30
? P : Q : R = 8 : 15 : 10
Here, consequent of first ratio should be equal to the antecedent of second ratio.
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