The cost price of 40 articles is the same as the selling price of 'p' articles. If the profit is 25%, then the value of 'p' is -

Question: The cost price of 40 articles is the same as the selling price of 'p' articles. If the profit is 25%, then the value of 'p' is -

Solution:
Let,
The cost price of each article be Tk. 1
The cost price of 'p' articles = Tk. p
The selling price of 'p' articles = Tk. 40

∴ Profit = Tk. (40 - p)

According to the question,
(40 - p)/p = 25%
Or, 100(40 - p)/p = 25
Or, 4000 - 100p = 25p
Or, 125p = 4000
∴ p = 32