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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 overti...
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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Community Answer
John gets Rs 57 per hour of regular work and Rs 114 per hour of overti...
Let no. of hours of regular work =x
no. of hours of overtime=y.
x+y=172. ----eqn 1
income relation,
114*y = 57*x*15/100
3x = 40y
x=40/3y
put in eqn 1
40/3y+y = 172
y=12
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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?.
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