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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.   1st Week 5th Week 9th Week 13th Week Rest 3 4 5   Work 6 8 9 8   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 month? (Assume that he is paid half his wages for his resting hours on duty)

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.   1st Week 5th Week 9th Week 13th Week Rest 3 4 5   Work 6 8 9 8   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 month? (Assume that he is paid half his wages for his resting hours on duty) Correct Answer Rs. 6840

Calculation:

From the table, we can see that for two weeks (1st and 3rd) Ramesh works more time than he rests.

Week 1 and 3:

Wage/hr for working = Rs. 60 

Wage/hr for resting = Rs. 30

Total wage obtained for one day (6 hour work + 3  hours rest) = 6 × 60 + 30 × 3 = Rs. 450

Total wages for the weeks 1 and 3 = 450 × 12 = Rs. 5400

Week 2 and 4:

Wage/hr for work = wage/hr for work when Ramesh works more than he rests ÷ 3 = 60/3 = Rs. 20

Wage/hr for rest = Rs. 10

Total wage obtained for one day (3 hour work + 6  hours rest) = 3 × 20 + 6 × 10 = Rs. 120

Total wages for the weeks 2 and 4 = 120 × 12 = Rs. 1440

Total monthly salary = Rs. 5400 + Rs. 1440 = Rs. 6840

∴ The total monthly salary is Rs. 6840.

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