Ratio, Proportion
- If A : B = 3 : 4 and B : C = 8 : 9, then A : B : C is
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A : B = 3 : 4 = 6 : 8
B : C = 8 : 9
∴ A : B : C = 6 : 8 : 9
Second Method :
A : B : C = xp : yp : qy
= 3 × 8 : 4 × 8 : 9 × 4
= 24 : 32 : 36
= 6 : 8 : 9Correct Option: D
A : B = 3 : 4 = 6 : 8
B : C = 8 : 9
∴ A : B : C = 6 : 8 : 9
Second Method :
A : B : C = xp : yp : qy
= 3 × 8 : 4 × 8 : 9 × 4
= 24 : 32 : 36
= 6 : 8 : 9
- If 78 is divided into three parts which are in the ratio
1 : 1 : 1 , the middle part is 3 6
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Ratio = 1 : 1 : 1 3 6
= 6 : 2 : 1
Sum of the ratios = 6 + 2+1 = 9∴ Middle part = 2 × 78 9 = 52 = 17 1 3 3 Correct Option: C
Ratio = 1 : 1 : 1 3 6
= 6 : 2 : 1
Sum of the ratios = 6 + 2+1 = 9∴ Middle part = 2 × 78 9 = 52 = 17 1 3 3
- If two times of A is equal to three times of B and also equal to four times of C, then A : B : C is
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According to the question,
2 A = 3 B ⇒ B = 2 A 3 and 2A = 4C ⇒ C = 1 A 2 ∴ A : B : C = A : 2 A : 1 A 3 2 = 1 : 2 : 1 = 6 : 4 : 3 3 2 Correct Option: D
According to the question,
2 A = 3 B ⇒ B = 2 A 3 and 2A = 4C ⇒ C = 1 A 2 ∴ A : B : C = A : 2 A : 1 A 3 2 = 1 : 2 : 1 = 6 : 4 : 3 3 2
- If x : y = 3 : 4, then 4x + 5y : 5x - 2y =
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x = 3 (Given) y 4 ∴ 4x + 5y 5x − 2y = 4 x + 5 y 5 x − 2 y = 4 × 3 + 5 4 5 × 3 − 2 4 = 8 15 − 8 4 ∴ 8 × 4 = 32 7 7 Correct Option: B
x = 3 (Given) y 4 ∴ 4x + 5y 5x − 2y = 4 x + 5 y 5 x − 2 y = 4 × 3 + 5 4 5 × 3 − 2 4 = 8 15 − 8 4 ∴ 8 × 4 = 32 7 7
- If two-third of A is four-fifth of B, then A : B = ?
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A × 2 = B × 4 3 5 ⇒ A = 4 × 3 = 6 : 5 B 5 2 Correct Option: B
A × 2 = B × 4 3 5 ⇒ A = 4 × 3 = 6 : 5 B 5 2
