Question : If 30% of (B – A) = 18% of (B + A), then the ratio A : B is equal to:
Option 1: 4 : 1
Option 2: 1 : 4
Option 3: 5 : 4
Option 4: 5 : 9
Answer (1)
25th Jan, 2024
Correct Answer: 1 : 4
Solution :
Given: 30% × (B – A) = 18% × (B + A)
⇒ $\frac{30}{100}$ × (B – A) = $\frac{18}{100}$ × (B + A)
⇒ 5 × (B – A) = 3 × (B + A)
⇒ 5B – 5A = 3B + 3A
⇒ 8A = 2B
⇒ A : B = 2 : 8 = 1 : 4
Hence, the correct answer is 1 : 4.
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