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## Explanation

A and B started a business jointly.

A invests Rs. 16000 for 8 months and B remains in the business for 4 months.

A’s total investment for 8 months (8 x 16000 = 128000) will be 128000.

B invests (let suppose “Rs. y”) for 4 months and its investment will be 4y.

As, total profit is not given (let suppose “z”); so B claims z2/7 and A’s share in profit would be z5/7.

As profit is divided among partners according to their ratio of investment.

128000/4y = (z5/7) / (z2/7)

Through this equation; we can easily find out B’s contribution in the capital.

## To Find

B’s contribution in th e capital = ?

## Solution

Let suppose;

- Initial investment of B = y

- Initial investment of A = 16000

- B’s investment for 4 months = 4y

- A’s investment for 8 months = 8 x 16000 = 128000

Let suppose total profit = z

2/7 of z (B’s profit) = z2/7

A’s profit = z – z2/7 = (7z – 2z)/7 = 5z/7

Now; Investment ratio = Profit ratio

128000/4y = (z5/7) / (z2/7)

128000/4y = (5/7) / (2/7)

128000/4y = 5/2

128000 x 2 = 4y x 5

20y = 256000

y = 256000/20

y = **Rs. 12800 answer**

## Conclusion

A and B started a business jointly. A invests Rs. 16000 for 8 months and B remains in the business for 4 months. Out of total profit, B claims 2/7 of the profit. B contributes Rs. 12800.