Question

A and B started a business. A invested 1000 for 9 months and B invested some money for 6 months. If they make a profit of 600 in a year and B gets profit share 400 then capital of B in the business is (a) * 2000 (b) 3000 (c) 4000 (d) 6000​

Sadge me
(ಥ﹏ಥ)​

Answer 1

Here , the required answer must be 4000.

when the capital of B is conserned.

When profit to be taken is 600 for 1 year.

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Answer 2

Given:

A invested 1000 for 9 months

B invested some money for 6 months.

If they make a profit of 600 in a year, B gets profit share 400

To find :

The capital of B in the business.

Solution:

Step 1 of 2:

Let , B invested '$x$' money for 6 months.

Capital of A in 9 months is,

1000 × 9 = 9000

Capital of B in 6 months is,

$x$ × 6 = 6$x$

Then, the ratio of capital is 9000 : 6$x$

A and B make a profit of 600 in a year.

Therefore, Total profit = 600

B gets profit share 400

Profit of A = 600 - 400

Profit of A = 200

Ratio of profit = 200:400

Ratio of profit = 1 : 2

Step 2 of 2:

Ratio of the capital = Ratio of the profit

Ratio of capital is 9000 : 6$x$

Ratio of profit is 1 : 2

9000 : 6$x$ = 1 : 2

$\frac{9000}{6x} = \frac{1}{2}$

$\frac{9000}{6}$ × 2 = $x$

1500 × 2 = $x$

$x$ = 3000

The capital of B in the business is 3000

Final answer:

The capital of B in the business 3000

Thus, the correct option is  (b) 3000