Correct Answer - Option 2 : 27 ∶ 50
Given:
(4/7) of (7/8) of a number = 30% of 90% of another number
Calculation:
Let the numbers be a and b respectively
According to the question
(4/7) of (7/8) of a = 30% of 90% of b
⇒ (4/7) × (7/8) × a = (3/10) × (9/10) × b
⇒ (a/2) = (27b/100)
⇒ a/b = 27/50
⇒ a ∶ b = 27 ∶ 50
∴ The ratio of the first number to the second number is 27 ∶ 50.