Select the correct answerA,B,C start a business, A invest money for 4 months & claim 18 of the total profit & B invest money for 6 months & claim 13 of the profit while C invest Rs.1560 for 8 months. How much money A & B invest?

The problem is about the distribution of profits in a business based on the amount of money invested and the time for which it was invested.

Let's denote the investments of A, B, and C as a, b, and c respectively.

From the problem, we know that C invested Rs.1560 for 8 months.

We also know that A invested for 4 months and B invested for 6 months.

The share of the profit for each person is proportional to the product of the money they invested and the time for which they invested it.

So, we can write the following equations based on the information given in the problem:

A's share of the profit = 1/8 of the total profit = (a * 4) / (a * 4 + b * 6 + c * 8)

B's share of the profit = 1/3 of the total profit = (b * 6) / (a * 4 + b * 6 + c * 8)

We can solve these two equations to find the values of a and b.

However, the problem does not provide enough information to solve these equations. We need more information about the total profit or the individual profits of A, B, and C.

So, based on the information given in the problem, we cannot determine how much money A and B invested.

To find out how much money A and B invested, we can use the given information about their profit shares and the total profit.

Let's assume that the total profit is represented by the variable P.

According to the information given, A invests money for 4 months and claims 18% of the total profit. This means that A's share of the profit is 18/100 * P.

Similarly, B invests money for 6 months and claims 13% of the total profit. So, B's share of the profit is 13/100 * P.

Now, let's calculate the amount of money A and B invested.

We know that A's share of the profit is 18/100 * P. Since A invests money for 4 months, we can set up the equation:

A's share of profit = (18/100) * P = (A's investment / Total investment) * P

Similarly, B's share of the profit is 13/100 * P. Since B invests money for 6 months, we can set up the equation:

B's share of profit = (13/100) * P = (B's investment / Total investment) * P

We also know that C invests Rs. 1560 for 8 months.

To find the total investment, we can add up the investments of A, B, and C:

Total investment = A's investment + B's investment + C's investment

Now, we have two equations with two unknowns (A's investment and B's investment). We can solve these equations simultaneously to find the values of A and B.

Please note that we need additional information or equations to determine the exact values of A and B.

To find out how much money A and B invested, we can use the given information about their profit shares and the total profit.

Let's assume that the total profit is represented by the variable P.

From the given information, we know that A invests money for 4 months and claims 18% of the total profit. This means that A's share of the profit is (18/100) * P.

Similarly, B invests money for 6 months and claims 13% of the total profit. This means that B's share of the profit is (13/100) * P.

Now, let's calculate the amount of money A and B invested.

We know that A's share of the profit is (18/100) * P. Since A invests money for 4 months, we can set up the equation:

A's share of profit = (18/100) * P = (A's investment / total investment) * P

Similarly, B's share of the profit is (13/100) * P. Since B invests money for 6 months, we can set up the equation:

B's share of profit = (13/100) * P = (B's investment / total investment) * P

We also know that C invests Rs.1560 for 8 months. So, we can set up the equation:

C's investment = Rs.1560

Now, we have three equations:

(18/100) * P = (A's investment / total investment) * P (13/100) * P = (B's investment / total investment) * P C's investment = Rs.1560

To find the values of A's and B's investments, we need to solve these equations simultaneously.

However, we don't have enough information to solve for A and B directly. We need additional information about the total profit or the ratio of A's and B's investments.

Please provide more information or clarify the question if possible.

The problem is about the distribution of profits in a business based on the amount of money invested and the time for which it was invested.

Let's denote the investments of A, B, and C as A, B, and 1560 respectively.

According to the problem, A invests for 4 months and B for 6 months. The profit share is proportional to the money invested and the time for which it was invested.

So, we can write the following equations based on the given information:

A's share = 1/8 of total profit = A * 4 (since A invested for 4 months) B's share = 1/3 of total profit = B * 6 (since B invested for 6 months) C's share = Remaining profit = 1560 * 8 (since C invested for 8 months)

The total profit is the sum of the shares of A, B, and C.

So, we can write the equation:

A * 4 + B * 6 + 1560 * 8 = Total Profit

But we know that A's share is 1/8 of the total profit and B's share is 1/3 of the total profit.

So, we can substitute these values into the equation:

A * 4 = Total Profit / 8 B * 6 = Total Profit / 3

Solving these equations will give us the values of A and B, which are the amounts of money that A and B invested.

Please note that without the total profit or the profit share of C, we cannot find the exact values of A and B.