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John gets Rs 57 per hour of regular | Quantitative Aptitude - Arithmetic – Time and work

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The question below is from previous year CAT question from CAT 2019 exam comes from CAT Time and work : John gets Rs 57 per hour of regular

Find out by answering this question which tests an aspirant’s Quantitative Ability Skills.

You may also find remaining question solution of CAT 2019, Slot 2 by searching the question in the search bar.

CAT 2019 - Slot 2 - Quantitative Aptitude - Time and work - Question 5 - John gets Rs 57 per hour of regular

Q. 5: 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?

let the number of overtime hours for john = x

 

So no regular hours = 172 –x

 

Income from overtime hours = (x)*114

 

Income from regular hours = (172-x)*57

 

Total income = 114x + (172 –x)*57 = 172*57 + 57x

 

As per question 15% of (172 – x) *57 = 114x

 

15/100 (172 +x)= 2x

 

15*172* – 15x = 200x

 

215x = 15*172

 

x = 12

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