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### 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 Solution: Investment of Peter = \$15,000 Period of investment = 5 months Amount withdrawn from the investment = \$10,000 Investment for the remaining period = \$5,000 Period of investment = 12-5 = 7 months Investment of George = \$20,000 Period of investment = 5+3 = 8 months Amount withdrawn = \$5,000 Investment for the remaining period = \$20,000 - \$5,000 = \$15,000 Period of investment = 12-8 = 4 months Investment of Adam = \$30,000 Period of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.
 Q 1: Jack, Micheal and Jhon started a business with the investment of \$2,500, \$1,800 and \$2,000 respectively. After 4 months Jack withdrew an amount of \$700 from his investment, Micheal and Jhon added \$400 and \$300 to their investments. The profit at the end of the year is \$945. Find the share of Jack?\$205\$305\$355\$255 Q 2: Peter, George and Adam started a business with investments of \$16,000, \$22,000 and \$32,000 respectively. After 6 months Peter withdrew an amount of \$10,000 from his investment. 4 months later George withdrew an amount of \$6,000 from his investment. Then Adam added \$20,000 to his investment. If the profit at the end of the year is \$14,755. Find the share of Adam?\$6,490\$6,590\$6,890None of these Q 3: 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 \$26,105. Find the share of Peter?\$3,695\$3,675\$3,975\$3,795 Q 4: Jack and Micheal started a business with investments of \$8,000 and \$10,000 respectively. After 4 months Jhon joined the business with an investment of \$12,000, if the profit at the end of the year is \$3,900 what is the share of Jnon?\$1,350\$1,200\$1,300\$1,250 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!