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John gets ₹ 57 per hour of regular work and ₹ 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?
(2019)
  • a)
    12
  • b)
    13
  • c)
    14
  • d)
    15
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
John gets 57 per hour of regular work and 114 per hour of overtime w...
Let the number of hours for regular and overtime work be x and y respectively.
∴ x + y = 172 ...(i)

⇒ 40y = 3x
⇒ 3x – 40y = 0 ...(ii)
On solving equations (i) and (ii), we get x = 160 and y = 12
∴ overtime work = 12 hours
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Community Answer
John gets 57 per hour of regular work and 114 per hour of overtime w...
Given information:
- John earns $57 per hour for regular work.
- John earns $114 per hour for overtime work.
- John works a total of 172 hours.
- Income from overtime hours is 15% of income from regular hours.

Let's assume John worked x hours of regular work and y hours of overtime work.

Income from regular work = $57 * x
Income from overtime work = $114 * y

According to the given information, income from overtime work is 15% of income from regular work.

So, we have the equation:
$114 * y = 15% * ($57 * x)

Simplifying the equation:
$114 * y = ($57 * x) * 0.15
$114 * y = $8.55 * x

Now, let's consider the total number of hours worked by John:
x + y = 172

We can solve these two equations to find the values of x and y.

First, let's solve the second equation for y:
y = 172 - x

Substituting this value in the first equation:
$114 * (172 - x) = $8.55 * x

Expanding the equation:
19548 - $114x = $8.55x

Combining like terms:
122.55x = 19548

Simplifying:
x = 19548 / 122.55
x ≈ 159.56

Since the number of hours cannot be in decimal, we can round it to the nearest whole number:
x ≈ 160

Now, substituting the value of x in the equation x + y = 172:
160 + y = 172
y = 172 - 160
y = 12

Therefore, John worked 12 hours of overtime.

Hence, the correct answer is option A) 12.
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John gets 57 per hour of regular work and 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?(2019)a)12b)13c)14d)15Correct answer is option 'A'. Can you explain this answer?
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John gets 57 per hour of regular work and 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?(2019)a)12b)13c)14d)15Correct answer is option 'A'. 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 57 per hour of regular work and 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?(2019)a)12b)13c)14d)15Correct answer is option 'A'. 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 57 per hour of regular work and 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?(2019)a)12b)13c)14d)15Correct answer is option 'A'. Can you explain this answer?.
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