Question
Download Solution PDFThere are 50 workers in a factory. Every man gets 95 Rs, and every woman gets 70 Rs. The sum of their wages is Rs 4100. Find the number of men.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total workers = 50
Wages of each man = Rs. 95
Wages of each woman = Rs. 70
Total wages = Rs. 4100
Concept used:
Total wages = Wages per head × Total number of workers
Calculation:
Let, number of men = a, and number of women = b
According to the question,
a + b = 50
⇒ b = 50 - a ---(1)
95 × a + 70 × b = 4100
⇒ 95a + 70(50 - a) = 4100
⇒ 95a + 3500 - 70a = 4100
⇒ 25a = 4100 - 3500
⇒ 25a = 600
⇒ a = 600/25 = 24
∴ The number of men is 24.
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