If a : b = 3 : 2, b : c = 1 / 4 : 1 / 5, c : d = 1.5 : 3.5, then what

1.	If a : b = 3 : 2, b : c = 1 / 4 : 1 / 5, c : d = 1.5 : 3.5, then what is a : d?1. 45 : 562. 15 : 143. 15 : 224. 45 : 67
Answer» Correct Answer - Option 1 : 45 : 56 Given: a : b = 3 : 2 b : c = 1 / 4 : 1 / 5 c : d = 1.5 : 3.5 Calculation: a : b = 3 : 2 ----(1) b : c = 1 / 4 : 1 / 5 ⇒ b ∶ c = 5 ∶ 4 ----(2) c : d = 1.5 : 3.5 ⇒ c : d = 3/2 : 7/2 = 3 ∶ 7 ----(3) Let us make the value of c equal in (2) and (3), (3) × 4 and (2) × 3 and combining both, b ∶ c ∶ d = 15 ∶ 12 ∶ 28 ----(4) Let us make the value of b equal in (1) and (4), (1) × 15/2 and (4) and combining, a ∶ b ∶ c ∶ d = 3 × 15/2 ∶ 2 × 15/2 ∶ 12 ∶ 28 ⇒ a ∶ b ∶ c ∶ d = 45/2 ∶ 15 ∶ 12 ∶ 28 So, a ∶ d = 45/2 ∶ 28 ⇒ a ∶ d = 45 ∶ 56 ∴ The value of a ∶ d is 45 ∶ 56.

If a : b = 3 : 2, b : c = 1 / 4 : 1 / 5, c : d = 1.5 : 3.5, then what is a : d?1. 45 : 562. 15 : 143. 15 : 224. 45 : 67

Answer» Correct Answer - Option 1 : 45 : 56

Given:

a : b = 3 : 2

b : c = 1 / 4 : 1 / 5

c : d = 1.5 : 3.5

Calculation:

a : b = 3 : 2 ----(1)

b : c = 1 / 4 : 1 / 5

⇒ b ∶ c = 5 ∶ 4 ----(2)

c : d = 1.5 : 3.5

⇒ c : d = 3/2 : 7/2 = 3 ∶ 7 ----(3)

Let us make the value of c equal in (2) and (3),

(3) × 4 and (2) × 3 and combining both,

b ∶ c ∶ d = 15 ∶ 12 ∶ 28 ----(4)

Let us make the value of b equal in (1) and (4),

(1) × 15/2 and (4) and combining,

a ∶ b ∶ c ∶ d = 3 × 15/2 ∶ 2 × 15/2 ∶ 12 ∶ 28

⇒ a ∶ b ∶ c ∶ d = 45/2 ∶ 15 ∶ 12 ∶ 28

So, a ∶ d = 45/2 ∶ 28

⇒ a ∶ d = 45 ∶ 56

∴ The value of a ∶ d is 45 ∶ 56.

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