medium · GMAT Quant

A freight logistics company offers two cargo shipping rate schedules, Schedule X and Schedule Y, based on shipment weight w in tons.

Under Schedule X, shipments weighing up to 10 tons cost a flat fee of $300; shipments weighing more than 10 tons but at most 50 tons cost $300 plus $25 per ton for each ton in excess of 10 tons; and shipments weighing more than 50 tons cost $1,300 plus $40 per ton for each ton in excess of 50 tons. Under Schedule Y, shipments weighing up to 20 tons cost a flat fee of $500; shipments weighing more than 20 tons but at most 60 tons cost $500 plus $20 per ton for each ton in excess of 20 tons; and shipments weighing more than 60 tons cost $1,300 plus $35 per ton for each ton in excess of 60 tons. How much more, in dollars, does it cost to ship a 40-ton shipment under Schedule X than under Schedule Y?

  1. $100
  2. $150
  3. $250
  4. $400
  5. $500

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