Question
Download Solution PDFA company employed 700 men and 300 women and the average wage was Rs. 450 per day. If a man got Rs. 50 more than a woman, then the daily wage of the women is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A company employed 700 men and 300 women and the average wage was Rs. 450 per day.
A man got Rs. 50 more than a woman.
Calculation:
Let the wages of each man and woman be (x + 50) and x respectively.
Using mixture and allegation,
According to the question,
(450 - x) : (x - 400) = 700 : 300
Taking ( -) common
(x - 450) : (400 - x) = 700 : 300
⇒ (x - 450) : (400 - x) = 7 : 3
⇒ 3x - 1350 = 2800 - 7x
⇒ 10x = 4150
⇒ x = 415
∴ The daily wage of the women is Rs. 415.
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