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Ramesh work rest pay pattern

CMAT 2018 · Quantitative Techniques & Data Interpretation · Hard · Arithmetic

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Ramesh works A hours a day and rests B hours a day. This pattern continues for 1 week, with an exactly opposite pattern next week, and so on for four weeks. Every fifth week he adopts a new pattern which then continues for the next four weeks. When he works longer than he rests, his wage per hour is three times what he earns per hour when he rests longer than he works. The following table shows his daily working hours for the week numbered 1 to 13.

Week1st5th9th13th
Rest345
Work6898

A week consists of six days and a month consists of four weeks. If Ramesh is paid Rs. 60 per working hour in the 1st week, what is his salary for the 1st month? (Assume that he is paid half his wages for his resting hours on duty)

  1. A.

    Rs. 6840

  2. B.

    Rs. 11400

  3. C.

    Rs. 7240

  4. D.

    None of these

Answer

A

Explanation

In Week 1: Work = 6, Rest = 3. Work > Rest   ⟹  \implies Working wage = Rs. 60/hr, Resting wage = Rs. 30/hr. Daily pay in Week 1 = (6×60)+(3×30)=360+90=450(6 \times 60) + (3 \times 30) = 360 + 90 = 450. Weekly pay = 450×6=2700450 \times 6 = 2700. Week 3 has the same pattern as Week 1   ⟹  2700\implies 2700.

In Week 2 (Opposite pattern): Work = 3, Rest = 6. Work < Rest   ⟹  \implies Working wage = Rs. 20/hr, Resting wage = Rs. 10/hr. Daily pay in Week 2 = (3×20)+(6×10)=60+60=120(3 \times 20) + (6 \times 10) = 60 + 60 = 120. Weekly pay = 120×6=720120 \times 6 = 720. Week 4 has the same pattern as Week 2   ⟹  720\implies 720.

Total salary for 1st month = 2700+720+2700+720=Rs. 68402700 + 720 + 2700 + 720 = \text{Rs. } 6840.

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