A and B invested capitals in the ratio of 3: 5 to start a
business. A is the working partner and B is the sleeping partner. What
percentage of total profit may be given as a salary to A, so that the ratio of
the profit earned by them is 3: 2?

Profit should be divided in the ratios of capitals. ∴This profit is supposed to be given to A and B in the ratio 3:5. But as A is working partner and B is sleeping partner, A gets an additional amount in the form of salary. Out of the profit 100, let an additional amount ‘x’ be given to A as salary. After this the profit ratio is changed to 3:2. The total amount received by A can be expressed as given below:

1)38% 2)24% 3)36% 4)40% 5)
None of the above

Solution follows here:

__Solution:__
Let the total profit be 100

Profit should be divided in the ratios of capitals. ∴This profit is supposed to be given to A and B in the ratio 3:5. But as A is working partner and B is sleeping partner, A gets an additional amount in the form of salary. Out of the profit 100, let an additional amount ‘x’ be given to A as salary. After this the profit ratio is changed to 3:2. The total amount received by A can be expressed as given below:

Supposed profit of A + Salary of A = Actual Profit of A

(3/8) (100-x) + x = (3/5)(100)

(3/8) (100-x) + x = (3/5)(100)

On solving, we get

**x=36****Answer(3)**

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