Percents

__Percents Greater than 100% and Less than 1%__ What does it mean to have a Percent greater than 100%? Greater than 1 whole (1.1, 1.5, 2, etc) Sometimes people are asked to give 110% towards an activity. Write a description of what this means and be prepared to defend your explanation. This means to do ten percent better than your previous record __ Example __ // Scientific American // Magazine (my personal favourite) has the following promotion: Payment enclosed, and // Scientific American // will pay the GST. 2 years – 12 issues $49.50 (3 Free issues off the newsstand price) 1 year – 6 issues $27.50 (1 Free issue off the newsstand price)  (a) How much does 1 issue cost at the newsstand?  (b) What is the average cost of a single magazine for a 1 year subscription? 27.50/6=$4.58  (c) What percentage more would you pay at the newsstand (buying the magazines individually) than through a 1 year subscription? 120%  (d) What is the average cost of a single magazine for a 2 year subscription? 49.5/12=4.125  (e) What percentage more would you pay at the newsstand (buying the magazines individually) than through a 2 year subscription? 133%  (f) Which is the best deal? The two year subscription Pg. 191 (5-8odd, 12, 21) 745/500=1.49 1.49*100=149% of total capacity 21/19=1.105 1.105*100=110.5% of test score 21.5/19=1.131 1.131*100=113.1% of test score 315/302.5=1.041 1.041*100=104.1% of previous record __Percent Increase:__

**Percent Increase =               ** **Ex. 1** **I used to sell hoodies for $50.00 a piece. I realized that they were selling quite quickly and that I could likely sell them for $60.00 each. What would be the percent increase on the price of a hoodie?** **Percent Increase =  ** **Increase = 60 - 50 = 10** **Percent Increase =  ** **Percent Increase =  ** **Percent Increase =  ** **Ex. 2** **Your math mark on Test #2 was approximately 25.5% higher than on Test #1. If you scored  on Test #2, what was your score on Test #1 if this test was also out of 35?** **Percent Increase =  ** **20/35=57.1%** **0.316*35=11.06**  **Score =   ** __**Percent Decrease:**__ **Percent Decrease =  ** **Ex. 1** **Television ratings for this year’s Stanley Cup Playoffs had slipped from previous years. It is estimated that there were 30,000 less viewers this year in comparison to last year. If there were 3.2 million viewers last year, what was the % decrease in viewers?**

**Ex. 2** **The price of a ticket to the theatre has dropped 20%. If it is now $3 cheaper to go to a movie, what was the original price? Round to the nearest cent if required.** **Percent Decrease =  ** **20% =  **  **$0.2 x original = $** **--** **0.2**  **Orig = $15** ** __ Commission and Interest  __ ** __ Definitions: __ Rate- a certain quantity or amount of one thing considered in relation to a unit of another thing. Interest Rate- stated as a percent per annum (year). Principal- the initial amount of money invested. Term- time in years. Ex. 12 months = 1 year or 18 months = 1.5 years. Remember: I Party(I = Prt) Ex 1. Jesse purchased a $500 Canada Savings Bond at an interest rate of 6.5% per annum. How much interest did he receive after one year? What was the total value of the bond after one year? ** I=PrT  ** ** I=500x0.065x1  ** ** I=32.5  ** ** 32.5+500=532.5  **   Ex 2. If I made a $250 investment in my savings account that has a rate of 8.5% during a two year term, how much money did I get as interest? ** I=PrT  ** ** I=250x0.085x2  ** ** I=42.5  ** Ex 3. Find any interest made after 3 years on a loan of   $120 000 with a rate of 7%. ** I=PrT  ** ** I=120000x0.07x3  ** ** I=25200  ** Ex 4. Jenn is a real estate agent that gets paid whenever she sells a house. She receives 3% of the selling price. Yesterday she sold a house worth $174 500. How much did she make as commission? ** I=Pr  ** ** I=174500x0.03  ** ** I=5235  ** Ex 5. Bill gets 4% commission on any one sale he makes. If he sells 3 computers that cost $1400 each, how much money will he make? ** I=PrT  ** ** I=4200x0.04  ** ** I=168  **