GATE 2026 AR — Planning – Question 63

Urban Land Use and Transportation · Aggregate and disaggregate transport demand models and forecasting · 2 marks · Numerical answer

Daily light-rail demand is Q=43000−850P, with fare P in rupees. If fare falls from₹30 to₹25, find ridership increase in percent, to two decimals.

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Correct answer: 24.00 to 25.00

Explanation

At₹30, demand is 43000−850×30=17500 trips/day. At₹25, it is 21750. Increase is 4250 trips/day, which relative to the original demand is 4250/17500×100=24.2857%, or 24.29%. Use the old ridership as the percentage-change denominator.

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