Ratio, Proportion
- If x : y = 4 : 5, then (3x + y) : (5x + 3y) =
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x = 4 y 5 ∴ 3x + y 5x + y = 3 
x 
+ 1 y 5 x + 3 y = 3 × 4 + 1 5 5 × 4 + 3 5 = 12 + 5 5 7 = 17 = 17 : 35 35 Correct Option: C
x = 4 y 5 ∴ 3x + y 5x + y = 3 x + 1 y 5 x + 3 y = 3 × 4 + 1 5 5 × 4 + 3 5 = 12 + 5 5 7 = 17 = 17 : 35 35
- If A and B are in the ratio 3 : 4, and B and C in the ratio 12 : 13, then A and C will be in the ratio
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A : B = 3 : 4 = 9 : 12
B : C = 12 : 13
∴ A : B : C = 9 : 12 : 13
⇒; A : C = 9 : 13
Second Method :
A : C = xp : yq
= 3 × 12 : 4 × 13
= 9 : 13Correct Option: B
A : B = 3 : 4 = 9 : 12
B : C = 12 : 13
∴ A : B : C = 9 : 12 : 13
⇒; A : C = 9 : 13
Second Method :
A : C = xp : yq
= 3 × 12 : 4 × 13
= 9 : 13
