A man’s basic pay for a 40 hour week is Rs. 20 overtime is paid for at 25 % above the basic rate, in a certain week he worked overtime and his total wage was Rs. 25. He therefore worked for a total of:________?

48 hours

45 hours

47 hours

49 hours

50 hours

Basic rate per hour = Re. (20/40) = Re. 1/2.

Overtime per hour = 125 % of Re. 1/2 = Re.5/8.

He worked x hours overtime.

Then 20 + 5/8 x = 25 (or) = 5/8 x = 5

X = 40/5 = 8 hours

=> he worked in all for (40 + 8) = 48 hours.