Due to reduction in the bus fare by 15%, the number of passengers on a certain route increased by 40% then. What will be the percentage increase in revenue?

Due to reduction in the bus fare by 15%, the number of passengers on a certain route increased by 40% then. What will be the percentage increase in revenue? Correct Answer 19

Let the initial bus fare and number of passengers be X and Y respectively. Then initial revenue = XY. Decreased bus fare = X - 15% of X = X - 0.15X = 0.85X Number of passengers = Y + 40% of Y = Y + 0.4Y = 1.4Y New total revenue = 0.85X × 1.4Y = 1.19XY Increase in revenue = (1.19XY - XY) / (XY) × 100% = 19% 
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