Question : If 20% of a number is $\frac{1}{6}$th of another number, what is the ratio of the first number to the second number?
Option 1: 4 : 7
Option 2: 5 : 6
Option 3: 5 : 3
Option 4: 4 : 5
Correct Answer: 5 : 6
Solution :
Let the first number as A and the second number as B.
Given that 20% of A is equal to $\frac{1}{6}$th of B.
⇒ 0.20 × A = $\frac{1}{6}$ × B
$\therefore\frac{A}{B} = \frac{5}{6}$
Hence, the correct answer is 5 : 6.
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