Answer: Your welcome!
Step-by-step explanation:
1- A's share of the profit will be $240, B's share of the profit will be $360, and C's share of the profit will be $80. This is calculated by taking the total invested amount by each partner and dividing it by the total invested amount by all partners. A's total invested amount is $1500, B's total invested amount is $1200 and C's total invested amount is $3600. Therefore, A's share is $1500/$6300 = 24%, B's share is $1200/$6300 = 19%, and C's share is $3600/$6300 = 57%. The percentages are then multiplied by the total profit of $680 to determine each partner's share of the profit. A's share is 24% x $680 = $240, B's share is 19% x $680 = $360, and C's share is 57% x $680 = $80.
2- A's share of the profit will be $1,350. This is calculated by taking the capital invested by each partner and dividing it by the total capital invested by all partners. A's capital invested is twice that of B, which is three times that of C. Therefore, A's capital invested is (2 x 3 x C) = 6C. B's capital invested is 3C and C's capital invested is C. The total capital invested by all partners is 6C + 3C + C = 10C. A's share of the profit is 6C/10C = 60%, which is then multiplied by the total profit of $2,750 to determine A's share of the profit. A's share is 60% x $2,750 = $1,650.
3- A's investment was used for 8 months. This is calculated by taking the ratio of A's investment to B's investment, which is 5:6, and then multiplying it by the length of time B's investment was used, which was 8 months. A's investment was used for 8 x (5/6) = 8 x 0.833 = 6.67 months, which is approximately 8 months.