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?

Question

Accepted Answer

12 — 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 regular and 'y' hours overtime... So, the income would be 57x and 114y we are told that 114y is 15% of 57x 114y = 0.15 &times; 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 hours. Hence, 12.

CAT 2019 Slot 2 — QA Question 34

Answer & solution