A, B and C enter a partnership with initial investments in the ratio $$\frac{11}{5}:\frac{7}{2}:\frac{15}{8}$$​. After 4 months A raises her share of investment by 62.5%. If the total profit after 12 months since the beginning of the partnership is Rs. 138584, then how much (in Rs.) does A get as her share of profit?

Correct option is B

Given:
Initial investment ratio of A, B, and C = $$\frac{11}{5} : \frac{7}{2} : \frac{15}{8}.$$​​
A raises her share of investment by 62.5% after 4 months.
Total profit after 12 months = ₹138,584.
Formula Used:

Profit = Investment $$\times$$ Time

A’s profit = $$\frac{\text{Total Profit}}{\text{Total effective capital}} \times \text{A’s effective capital}$$​​

Solution:

LCM (5,2,8) = 40              

A's share = (88 $$\times$$ 4) + (143 $$\times$$ 8)

= 352 + 1144 = 1496

B's share = 12 $$\times$$ 140 = 1680

C's share = 12 $$\times$$ 75 = 900

Total share = 1496 + 1680 + 900 = 4076

A's share of profit = $$\frac{138584}{4076} \times 1496$$ =  Rs. 50864

So, A's share of the total profit is ₹50,864

Thus, the correct option is (b)