Percent - XYZ Custom Plus

Percent Increase or Decrease and DiscountThe table and bar chart below show some statistics compiled by insurance companiesregarding stopping distances for automobiles traveling at 20 miles perhour on ice.Stopping PercentDistance Decrease5.5ObjectivesA Find the percent increase.B Find the percent decrease.C Solve application problemsinvolving the rate of discount.Regular tires 150 ft 0Snow tires 151 ft −1%Studdedsnow tiresReinforcedtire chains120 ft 20%75 ft 50%Source: Copyrighted table courtesy of The CasualtyAdjuster’s GuideStopping distance (feet)16014012010080604020150 151120750RegulartiresSnowtiresStuddedsnowtiresReinforcedtirechainsMany times it is more effective to state increases or decreases as percents, ratherthan the actual number, because with percent we are comparing everything to100.APercent IncreaseExample 1If a person earns $22,000 a year and gets a 5% increase insalary, what is the new salary?Solution We can find the dollar amount of the salary increase by finding 5% of$22,000:Practice Problems1. A person earning $18,000 a yeargets a 7% increase in salary.What is the new salary?0.05 × 22,000 = 1,100The increase in salary is $1,100. The new salary is the old salary plus the raise:$22,000 Old salary+ 1,100 Raise (5% of $22,000)$23,100 New salary5.5 Percent Increase or Decrease and DiscountAnswer1. $19,260337