CAT 2019 Question Paper | CAT Verbal Ability Slot 2
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?
Started 3 months ago by Shashank in
Answer : The answer is '12'
Explanatory Answer
If John works the same number of regular and over-time hours say 'p'
The income would be 57p and 114p
Let's say that he works 'x' hours regularly and 'y' hours overtime.
So, the income would be 57x and 114y
we are told that 114y is 15% of 57x
114y = 0.15 * 57x
y = 0.075x
we also know that x+y = 172
therefore, x + 0.075x = 1.075x = 172
x = 160
y = 172 - 160 = 12
Therefore, the number of hours he worked Overtime is 12
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