Sikha works in a factory.in one week she earned₹390 for working 47 hours of which 7hrs were overtime. The next week she earned₹416 for working 50 hours of which 8 hours were overtime what is shikhas hourly earning rate?
Answers
Hourly earning rate
Given: Sikha works in a factory. In one week she earned ₹390 for working 47 hours, of which 7 hors were overtime. The next week she earned ₹416 for working 50 hours, of which 8 hours were overtime.
To find: What is Sikha's hourly earning rate ?
Solution:
Let Sikha's houry earning rate is ₹x and over time rate per hour is ₹y.
Case 1: First week
- Total work hour = 47 hours
- Overtime = 7 hours
- Actual work = 47 - 7 hours = 40 hours
We can construct a linear relation:
40x + 7y = 390 .....(1)
Case : Another week
- Total work hour = 50 hours
- Overtime = 8 hours
- Actual work = 50 - 8 hours = 42 hours
We can construct a linear relation:
42x + 8y = 416 .....(2)
We have two linear equations,
40x + 7y = 390 .....(1)
42x + 8y = 416 .....(2)
Multiplying (1) by 8 and (2) by 7, we get
320x + 56y = 3120
294x + 56y = 2912
On subtraction, we get
26x = 208
or, x = 8
Then y = 10
Answer: Sikha's hourly earning rate is ₹8 and over time rate is ₹10 per hour.