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### Grade 8 - Mathematics9.6 Partnership - II

 Example: Mack started a business with a capital of \$5050 and Jacob joined him some time later with a capital of \$2400. If out of the total annual profit \$1644 Mack's share is \$1212. Find when Jacob joined as partner. Solution: Investment of Mack = \$5050. Investment Period = 12 months. Investment of Jacob = \$2400. Let Jacob Investment Period = x months Ratio of their investments = 5050*12 : 2400*x = 101:4x Total profit at the end of the year = \$1644 Share of Mack = \$1212 Share of Jacob = \$1644 - \$1212 = \$432 Ratio of the Profit = 1212 : 432 = 101:36 Ratio of their investments = Ratio of their profits. 101:4x = 101:36 4x = 36 x = 36/4 x = 9 Jacob's investment period (x) = 9 months Therefore, Jacob joined Mack as partner after 3 months. Directions: Solve the following problems. Also write at least 5 examples of your own.
 Q 1: Peter and George started a business with equal capital. But George withdrew from the business at the end of 9 months, if at the end of the year they made a profit of \$8540. Find the share of George.\$4380\$3660\$3480\$4620 Q 2: Harry started a business. After some time Matt joined him. The ratio of the investiments is 3:4. If the profits at the end of the year are equal, find when Matt joined in the business.After 4 monthsAfter 3 monthsAfter 5 months Question 3: This question is available to subscribers only! Question 4: This question is available to subscribers only!