Question : If the difference between the two numbers is 20 percent of their sum, then what is the ratio of larger number and smaller number?
Option 1: 6 : 5
Option 2: 5 : 4
Option 3: 4 : 3
Option 4: 3 : 2
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Correct Answer: 3 : 2
Solution :
Let the two numbers be $x$ and $y$.
Then,
$(x - y) = \frac{20}{100}\times(x + y)$
⇒ $x - y = \frac{1}{5} (x + y)$
⇒ $4x = 6y$
⇒ $\frac{x}{y} = \frac{3}{2}$
Hence, the correct answer is 3 : 2.
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