Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### Grade 8 - Mathematics9.7 Partnership - III

 Example: Peter, George and Adam started a business with investments of \$15,000, \$20,000 and \$30,000 respectively. After 5 months Peter withdrew an amount of \$10,000 from his investment. 3 months later George withdrew an amount of \$5,000 from his investment. Then Adam added \$20,000 to his investment. If the profit at the end of the year is \$21,000. Find the share of each? Solution: Investment of Peter = \$15,000 Period of investment = 5 months Amount withdrawn from the investment = \$10,000 Investment for the remaining period = \$5,000 Period of investment = 12-5 = 7 months Investment of George = \$20,000 Period of investment = 5+3 = 8 months Amount withdrawn = \$5,000 Investment for the remaining period = \$20,000 - \$5,000 = \$15,000 Period of investment = 12-8 = 4 months Investment of Adam = \$30,000 Period of investment = 8 months Added investment = \$20,000 Investment after addition = \$30,000 + \$20,000 = 50,000 Period of investment = 4 months Ratio of the investments of Peter, George and Adam. = (15,000*5 + 5,000*7) : (20,000*8 + 15,000*4) : (30,000*8 + 50,000*4) = (75,000 + 35,000) : (160,000 + 60,000) : (240,000 + 200,000) = 110,000 : 220,000 : 440,000 = 11 : 22 : 44 = 1 : 2 : 4 The total profit of \$21,000 is divided in the ratio of their investments. Share of Peter = (21,000*3)/7 = \$3,000 Share of George = (21,000*2)/7 = \$6,000 Share of Adam = (21,000*4)/7 = \$12,000 Directions: Solve the following problems. Also write at least 5 examples of your own.