When cost price of x articles is equal to selling price of y articles, the profit is 25%. Then x : y is equal to:

Correct option is C

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Given:
Profit = 25%
Formula Used:
​$$\text{Profit Percentage} = \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \times 100$$​​
Solution:
According to the question
The cost price of x articles = selling price of y articles
​$$\frac {SP}{CP} = \frac {x }{ y}$$​​
Let CP = 100
$$\text{Profit Percentage} = \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \times 100$$​
​$$25\% = \frac {SP - 100}{ 100} × 100$$​​
SP = 125
​$$\frac {x}{ y} = \frac {125}{ 100}\\\frac {x}{ y}=\frac {5}{ 4}$$​​
=5:4