If x and y are two positive numbers and x is 25% greater than y, what is the value of the ratio y/x?
0.80
To determine the value of the ratio \( \frac{y}{x} \), given that \( x \) is 25% greater than \( y \), let's follow these steps:
- Let \( y = a \) (where \( a \) is the initial value of \( y \)).
- Since \( x \) is 25% greater than \( y \), we can express \( x \) in terms of \( y \) as:
\( x = y + 0.25y \). - Simplify to find \( x \) in terms of \( y \):
\( x = 1.25y \). - Now, we need to compute the ratio \( \frac{y}{x} \):
\( \frac{y}{x} = \frac{y}{1.25y} \). - Cancel \( y \) in the numerator and the denominator:
\( \frac{y}{x} = \frac{1}{1.25} \). - Calculate \( \frac{1}{1.25} \):
\(\frac{1}{1.25} = \frac{100}{125} = \frac{4}{5} = 0.80\).
Therefore, the value of the ratio \( \frac{y}{x} \) is 0.80. The correct answer is 0.80.
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