Question

A man's working hours in a day were increased by 10 % and his wages per hour were increased by 20 % by how much per cent were his daily earning increased?

Answer 1

Let initial working time be x and wages per hour be y

Initial wages daily = xy

So, after 10% increase in working time
Final Working time = x + 10x/100 = 1.1x

And after 20% increase in wages per hour
Final wages per hour = y + 20y/100 = 1.2y

Final wages daily = 1.1x * 1.2y = 1.32 xy

Increase in wages daily = 1.32xy - xy = 0.32 xy

Percentage increase in daily wages = (0.32xy/xy)*100 = 32%