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Grade 8 - Mathematics
9.7 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Amount withdrawn from the investment = $10,000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Amount withdrawn = $5,000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: 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?
$6,590
$6,890
$6,490
None of these

Q 2: Christina and Jessica started a business with investments of $15,000 and $20,000 respectively. After 2 months Nancy joined the business with investment of $10,000 if the profit at the end of the is $6,110. What is the share of Christina?
$2,115
$2,105
$2,000
$2,100

Q 3: Total investment of Mike and Jacob is 65,000. Out the profit of $20,000 at the end of the year, keeping $7,000 for managing the business the balance is divided in the ratio of their investments. If Jacob gets $1,000 more than Mike. Find the investment of Jacob?
$34,500
$35,500
$34,000
$35,000

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?
$1,300
$1,350
$1,250
$1,200

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Question 6: This question is available to subscribers only!


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