A, B and C enter into a partnership. A contributes 360 for 4 months, B contributes 420 for 3 months and C contributes 180 for 5 months. If the total profit is 400, what will be the share of A?Options192180292160
Question
A, B and C enter into a partnership. A contributes 360 for 4 months, B contributes 420 for 3 months and C contributes 180 for 5 months. If the total profit is 400, what will be the share of A?Options192180292160
Solution
To find the share of A, we need to calculate the ratio of A's contribution to the total contribution of all partners.
First, let's calculate the total contribution of each partner by multiplying their respective contribution amounts by the number of months they contributed:
A's total contribution = 360 * 4 = 1440 B's total contribution = 420 * 3 = 1260 C's total contribution = 180 * 5 = 900
Next, let's calculate the total contribution of all partners:
Total contribution = A's total contribution + B's total contribution + C's total contribution = 1440 + 1260 + 900 = 3600
Now, let's calculate the share of A by finding the ratio of A's total contribution to the total contribution of all partners:
A's share = (A's total contribution / Total contribution) * Total profit = (1440 / 3600) * 400 = 0.4 * 400 = 160
Therefore, the share of A in the total profit of 400 will be 160.
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