Final answer:
By expressing Annie's and Bola's shares in terms of Charles's share and using the given ratios, we find that Charles's share is approximately Rs. 307.69 when Rs. 200 is divided as per the given conditions.
Step-by-step explanation:
To solve this problem, we can let Annie's share be A, Bola's share be B, and Charles's share be C. First, we know from the problem that A is 2/5 of B (A = 2/5 * B), and B is 3/4 of C (B = 3/4 * C). Now, we need to express everything in terms of C to find Charles's share.
Since B is 3/4 of C, then A will be (2/5)*(3/4)*C, which simplifies to 3/10*C. We now express the total amount of Rs. 200 as the sum of the shares of Annie, Bola, and Charles: A + B + C = 200. Plugging in the expressions for A and B in terms of C, we have (3/10*C) + (3/4*C) + C = 200. Simplifying the equation, we have 13/20*C = 200, which means C = (200 * 20) / 13. This gives us C, Charles's share, as Rs. 307.69 approximately.