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Fittoniya [83]
4 years ago
13

At a factory the basic week is 40 hours. During a particular week Mr. Ali earned a gross wage of $491.15, but $156.75 was overti

me.Calculate Mr. Ali's basic rate of payment If overtime was paid for at time-and-a-quarter, find how many hours
Mathematics
1 answer:
Alex4 years ago
3 0

Answer:

Mr. Ali worked for 55 hours.

Step-by-step explanation:

Basic working hours = 40 hours

Total gross wages = $490.15

Overtime wages = $156.75

Total wages as per basic week = Total Gross wages - Overtime wages

Total wages as per basic week = $490.15 - $156.75 = $334.4

Let wages for basic hours = \$x

40\times x = \$334.4\\\Rightarrow x = \bold{\$8.36}

Let the number of overtime hours = y hours.

Given that the wages for overtime are paid for at time-and-a-quarter.

As per question statement:

y\times 8.36\times \dfrac{5}{4} = $156.75\\\Rightarrow y = \bold{15\ hours}

Total number of hours worked by Mr. Ali = 40 + 15 = <em>55 hours</em>

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