CAT 2019 Slot 2 QA Question & Solution
ArithmeticMedium
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?
Solution
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)*114
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