Three members of the society shared profits one member received a sixth of the profit another member received a ninth of the profit
A. Find the fraction the profit received by the third member
B . If a third member received shilling 13,000 find the amount of the profit received by each of the other two members
Let's denote the total profit as P.
A. The first member received 1/6 of the profit, which is (1/6)P.
The second member received 1/9 of the profit, which is (1/9)P.
To find the fraction of the profit received by the third member, we subtract the fractions received by the first two members from 1:
1 - 1/6 - 1/9 = (54 - 9 - 6) / 54 = 39/54 = 13/18.
Therefore, the third member received 13/18 of the profit.
B. If the third member received shilling 13,000, we can set up the equation:
(13/18)P = 13,000.
To find the value of P, we multiply both sides of the equation by (18/13):
P = (13,000) * (18/13) = 18,000.
Now, to find the amount of profit received by each of the other two members:
- The first member received (1/6)P = (1/6)*(18,000) = 3,000.
- The second member received (1/9)P = (1/9)*(18,000) = 2,000.
Therefore, each of the other two members received shilling 3,000 and 2,000, respectively.