Question:
John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?
John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?
Updated On: Oct 26, 2024
- 12
- 14
- 15
- 21
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The Correct Option is A
Solution and Explanation
Consider x as the number of hours for regular work and y for overtime work.
We can establish two equations:
\(x+y=172........(1) \)
\(114y=\frac{15}{100}×57x......(2)\)
Upon solving these equations, we find \(x = 160\) and \(y = 12.\)
Therefore, the overtime work amounts to 12 hours.
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