Question : If 45% of a certain number is equal to $\frac{6}{5}$th of another number, what is the ratio between the numbers?
Option 1: 9 : 11
Option 2: 8 : 3
Option 3: 1 : 7
Option 4: 7 : 4
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Correct Answer: 8 : 3
Solution : Let the first number as $x$ and the second number as $y$. According to the question, $\frac{45x}{100} = \frac{6y}{5}$ $⇒\frac{x}{y} = \frac{6×20}{5×9}$ $\therefore \frac{x}{y} = \frac{8}{3}$ Hence, the correct answer is 8 : 3.
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