A, B and C start a business by investing Rs. 7,000/-, Rs. 8,000/- and Rs. 12,000/- respectively. After a year, B get Rs. 3,200/ as his share of profit. What is the total profit?

Correct option is D

Given:
Investment of A = Rs. 7,000

Investment of B = Rs. 8,000

Investment of C = Rs. 12,000

Time = 1 year (same for all)

B's share of profit = Rs. 3,200

Formula Used:
Profit is distributed in the ratio of investment × time.

Since time is the same, the profit ratio is the same as the investment ratio.

​$$\text{Share of Profit} = \frac{\text{Individual Investment}}{\text{Total Investment}} \times \text{Total Profit}$$

Solution:

$$\text{Investment ratio of A : B : C} = 7000 : 8000 : 12000 \\= 7 : 8 : 12 \\[10pt]\text{Total parts} = 7 + 8 + 12 = 27 \\\text{B's share} = 8 \text{ parts} \\[10pt]\text{Given B's profit} = 3200 \\\Rightarrow \frac{8}{27} \times \text{Total Profit} = 3200 \\[10pt]\Rightarrow \text{Total Profit} = \frac{3200 \times 27}{8} = \frac{86400}{8} = 10800$$​