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A and B investor in the business in which a invest 250 more than BB invest for six months while a invested for four months. If a get 200 more than B out of total profit of thousand then the total amount of investment of the business is?
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A and B investor in the business in which a invest 250 more than BB in...
Given Information:
- A invests 250 more than B in the business.
- A invests for 4 months, while B invests for 6 months.
- A receives 200 more than B out of the total profit of 1000.

Let's Find the Solution Step-by-Step:

Step 1: Identify the Variables
Let's assume that B invests x amount of money in the business. Therefore, A invests (x + 250) in the business.

Step 2: Calculate the Profit Share
We know that A receives 200 more than B from the total profit of 1000. Therefore, A's profit share is (B's profit share + 200).

Step 3: Calculate the Profit Share Ratio
As A invests for 4 months and B invests for 6 months, their profit shares will be directly proportional to the time they invested. Therefore, we can write the following equation:

(A's profit share) / (B's profit share) = 4/6

Step 4: Solve the Equations
Let's solve the equations to find the values of A's and B's profit shares.

(A's profit share) / (B's profit share) = 4/6

[(B's profit share) + 200] / (B's profit share) = 4/6

Simplifying the equation, we get:

6(B's profit share + 200) = 4(B's profit share)

6B + 1200 = 4B

2B = 1200

B = 600

Therefore, B's profit share is 600, and A's profit share is (B's profit share + 200) = 800.

Step 5: Calculate the Total Investment
To find the total investment, we need to calculate the sum of A's and B's investments.

Total Investment = A's Investment + B's Investment

Total Investment = (x + 250) + x

Total Investment = 2x + 250

Step 6: Substitute the Value of B's Investment
We know that B's investment is 600. Let's substitute this value into the equation to find the total investment.

Total Investment = 2(600) + 250

Total Investment = 1200 + 250

Total Investment = 1450

Therefore, the total investment of the business is 1450.
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A and B investor in the business in which a invest 250 more than BB invest for six months while a invested for four months. If a get 200 more than B out of total profit of thousand then the total amount of investment of the business is?
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