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(4/7) of (7/8) of a number is equal to the 30% of 90% of another number. The ratio of first number and second number is
1. 27 ∶ 100
2. 27 ∶ 50
3. 9 ∶ 25
4. 27 ∶ 200

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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.

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