A, B and C jointly started a business in which A invested ₹7,000 for 12 months, B invested ₹8,000 for 10 months and C invested ₹12,000 for 6 months. A was the working member for which he received 20% of the profits as his remuneration. The total profit earned at the end of one year was ₹14,750. What is C's Share (in ₹) in the profit?

Correct option is D

Given:
A's investment = ₹7,000 for 12 months
B's investment = ₹8,000 for 10 months
C's investment = ₹12,000 for 6 months
A's remuneration = 20% of the total profit
Total profit = ₹14,750
Formula Used:

Profit  = Investment $$\times$$ Time​
Capital Share Ratio = $$\frac{A's \, \text{Investment} \times A's \, \text{Time}}{\text{Total} \, \text{Investments} \, \text{and} \, \text{Time}}$$​​
Solution:

A’s share of the profit (remuneration) = 20% of the total profit
A’s remuneration = $$20\% \times 14,750 = 2,950$$​​
Remaining profit = 14,750 - 2,950 = 11,800
Capital contributions:
A's capital =  $$7,000 \times 12 = 84,000$$​​
B's capital =  $$8,000 \times 10 = 80,000$$​​
C's capital = $$12,000 \times 6 = 72,000$$​​
Total capital = 84,000 + 80,000 + 72,000 = 236,000
Share of C in the remaining profit:
C's share = $$\frac{72,000}{236,000} \times 11,800 = 3,600$$​​
Thus, the correct option is (d) ₹3,600