Final answer:
C invested approximately 5333.33 rs in the business.
Step-by-step explanation:
To find the amount invested by C in the business, we need to set up a proportion based on the profit sharing ratios. Considering A's investment as 2400 rs and B's investment as 3600 rs, we can set up the proportion:
(2400 rs)/(3600 rs) = x/(8000 rs)
Simplifying the proportion, we get:
2400 rs * 8000 rs = 3600 rs * x
19200000 rs = 3600 rs * x
Dividing both sides by 3600 rs, we find that x = 19200000 rs / 3600 rs = 5333.33 rs
Therefore, C invested approximately 5333.33 rs in the business.