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A man’s working hours per day were increased by 20% and his wages per hour were increased by 15%. By how much percent were his daily earnings increased?
- A38%
- B35%
- C5%
- D40%
Answer not set
Discussion 1
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CCommunity
Let the number of working hours be x
Let the wages per hours be y
Initial daily earnings = Number of working hours × Wages per hour = xy
New number of working hours = x + (20/100) × x = 1.2x
New wages per hour = y + (15/100) × y = 1.15y
New daily earnings = Number of working hours × Wages per hour = (1.2x) × (1.15y) = 1.38xy
%Change in daily earnings = (Change in daily earnings)/(Initial daily earnings) × 100
%Increase in daily earnings = (1.38xy -xy)/xy × 100 = 38%
Let the wages per hours be y
Initial daily earnings = Number of working hours × Wages per hour = xy
New number of working hours = x + (20/100) × x = 1.2x
New wages per hour = y + (15/100) × y = 1.15y
New daily earnings = Number of working hours × Wages per hour = (1.2x) × (1.15y) = 1.38xy
%Change in daily earnings = (Change in daily earnings)/(Initial daily earnings) × 100
%Increase in daily earnings = (1.38xy -xy)/xy × 100 = 38%