A man’s working hours per day were increased by 10% and his wages per hour were increased by 5%. By how much per cent were his daily earnings increased?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 15.5%.
Let the initial working hours and initial wages be 100x and 100y respectively.
Daily earnings = 10000xy
New working hours = 110% of 100x = 110x
New wages = 105% of 100y = 105y
New earnings = 11550xy
Required percentage = [(11550xy - 10000xy)/10000xy] × 100
⇒ 100 × 1550/10000 = 15.5%