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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?
Correct answer is '12'. Can you explain this answer?
Most Upvoted Answer
John gets Rs 57 per hour of regular work and Rs 114 per hour of overt...
Given:
- John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work.
- John works altogether 172 hours.
- Income from overtime hours is 15% of his income from regular hours.
To find:
- Number of hours John worked overtime.
Solution:
Let's assume John worked x hours of regular work and y hours of overtime work.
Income from regular work:
- Income from regular work = Rs 57 * x
Income from overtime work:
- Income from overtime work = Rs 114 * y
Total income:
- Total income = Income from regular work + Income from overtime work
Given that the income from overtime hours is 15% of the income from regular hours, we can write the equation as:
- Income from overtime work = 0.15 * Income from regular work
Substituting the values, we have:
- Rs 114 * y = 0.15 * (Rs 57 * x)
Simplifying the equation, we get:
- 114y = 0.15 * 57x
- 114y = 8.55x
Since John works altogether 172 hours, we can write another equation as:
- x + y = 172
We can solve these two equations to find the values of x and y.
Solving the equations:
Using the second equation, we can substitute the value of x in terms of y:
- x = 172 - y
Substituting this value in the first equation, we have:
- 114y = 8.55(172 - y)
- 114y = 1467.6 - 8.55y
- 122.55y = 1467.6
- y = 1467.6 / 122.55
- y ≈ 11.98
Since the number of hours worked must be a whole number, we round off y to the nearest whole number:
- y = 12
Conclusion:
John worked overtime for 12 hours.
- John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work.
- John works altogether 172 hours.
- Income from overtime hours is 15% of his income from regular hours.
To find:
- Number of hours John worked overtime.
Solution:
Let's assume John worked x hours of regular work and y hours of overtime work.
Income from regular work:
- Income from regular work = Rs 57 * x
Income from overtime work:
- Income from overtime work = Rs 114 * y
Total income:
- Total income = Income from regular work + Income from overtime work
Given that the income from overtime hours is 15% of the income from regular hours, we can write the equation as:
- Income from overtime work = 0.15 * Income from regular work
Substituting the values, we have:
- Rs 114 * y = 0.15 * (Rs 57 * x)
Simplifying the equation, we get:
- 114y = 0.15 * 57x
- 114y = 8.55x
Since John works altogether 172 hours, we can write another equation as:
- x + y = 172
We can solve these two equations to find the values of x and y.
Solving the equations:
Using the second equation, we can substitute the value of x in terms of y:
- x = 172 - y
Substituting this value in the first equation, we have:
- 114y = 8.55(172 - y)
- 114y = 1467.6 - 8.55y
- 122.55y = 1467.6
- y = 1467.6 / 122.55
- y ≈ 11.98
Since the number of hours worked must be a whole number, we round off y to the nearest whole number:
- y = 12
Conclusion:
John worked overtime for 12 hours.
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Community Answer
John gets Rs 57 per hour of regular work and Rs 114 per hour of overt...
It is given that John works altogether 172 hours i.e. including regular and overtime hours.
Let a be the regular hours, 172-a will be the overtime hours
John's income from regular hours = 57*a
John's income for working overtime hours = (172-a)*144
It is given that his income from overtime hours is 15% of his income from regular hours
a*57*0.15 = (172-a)*114
a=160
The number of hours for which he worked overtime = 172 – 160=12 hrs
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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?Correct answer is '12'. Can you explain this answer?
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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?Correct answer is '12'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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?Correct answer is '12'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?Correct answer is '12'. Can you explain this answer?.
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?Correct answer is '12'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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?Correct answer is '12'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?Correct answer is '12'. Can you explain this answer?.
Solutions for 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?Correct answer is '12'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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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?Correct answer is '12'. Can you explain this answer?, a detailed solution for 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?Correct answer is '12'. Can you explain this answer? has been provided alongside types of 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?Correct answer is '12'. Can you explain this answer? theory, EduRev gives you an
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