The cost price of 60 articles is the same as the selling price of 'q' articles. If the profit is 20%, then the value of 'q' is -

Question: The cost price of 60 articles is the same as the selling price of 'q' articles. If the profit is 20%, then the value of 'q' is -

Solution:
Let,
The cost price of each article be = Tk. 1
The cost price of 'q' articles = Tk. q
The selling price of 'q' articles = Tk. 60

∴ Profit = Tk. (60 - q)

According to the question,
(60 - q)/q = 20%
⇒ 100(60 - q)/q = 20
⇒ 6000 - 100q = 20q
⇒ 120q = 6000
⇒ q = 6000/120
∴ q = 50