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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Mathematics
Chapter
Statistics

NTA Abhyas 2020 · Mathematics · Statistics

In a factory, workers work in three shifts, say shift 1, shit 2 and...

In a factory, workers work in three shifts, say shift 1,1, shit 22 and shift 33 and they get wages in the ratio 3:4:83: 4: 8 depending on the shift 1,21, 2 and 33 respectively. Number of workers in the shifts are in the ratio 3:2:5.3: 2: 5. If the total number of workers working is 15001500 and wages per worker in shift 11 is Rs.300,Rs. 300,& then the mean wage of a worker is

Options

  1. ARs.460Rs. 460
  2. BRs.520Rs. 520
  3. CRs.570Rs. 570
  4. DRs.420Rs. 420

Correct answer

C. Rs.570Rs. 570

Step-by-step solution

Workers in 1st{1}^{st} shift =450= 450

Wages in 1st{1}^{st} shift =Rs.300= Rs. 300

Workers in 2nd{2}^{nd} shift =300= 300

Wages in 2nd{2}^{nd} shift =Rs.400= Rs. 400

Workers in 3rd{3}^{rd} shift =800= 800

Mean = \dfrac{450 \times 300 + 300 \times 400 + 750 \times 800}{1500}<br/><br/><br /><br />= 90 + 80 + 400<br/><br/><br /><br />= 570<br/><br/>Meanwage<br /><br />Mean wage= Rs. 570
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