The average daily wages of female workers in a factory is Tk. 30 and that of male workers is Tk. 42. If the average wages of all the workers is Tk. 37, what is the ratio of male to female workers?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
2 (7 : 5)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Let's denote:
The number of female workers as F
The number of male workers as M
Average daily wages of female workers = Tk. 30
Average daily wages of male workers = Tk. 42
Average daily wages of all workers = Tk. 37
The total wages for female workers is 30F and for male workers is 42M
The average wage of all workers is given by:
(30F + 42M)/(F + M) = 37
⇒ 30F + 42M = 37(F + M)
⇒ 30F + 42M = 37F + 37M
⇒ 42M - 37M = 37F - 30F
⇒ 5M = 7F
⇒ M/F = 7/5
∴ M : F = 7 : 5
The ratio of male to female workers is 7 : 5.
