A and B jointly invest Rs. 2100 and Rs. 3100 respectively in a f. A is an active partner and he gets 25% of the profit separately. If their business yields them total Rs. 1,040 as profit what will be the gain of each of them ?

A and B jointly invest Rs. 2,100 and Rs. 3,100 respectively

Ratio of profit received by A and B = 2100 : 3100

=> A : B + 21 : 31

Total profit = Rs. 1,040

But A gets 25 % of the profit separately.

=> Amount received by A separately = $$\frac{25}{100} \times 1040 = Rs. 260$$

Profit left = $$1040 - 260 = 780$$

Now, profit received by B = $$\frac{31}{21 + 31} \times 780$$

= $$31 \times 15 = 465$$

Profit received by A = 780 - 465 = 315

$$\therefore$$ Total amount received by A = $$260 + 315 = Rs. 575$$

Total amount received by B = $$Rs. 465$$