Nitin has Rs. 1224 with him. He divided it amongst his sons Pravin and Rishi and asked them to invest it at 4% rate of interest compounded annually. It was seen that Pravin and Rishi got the same amount after 14 and 15 years, respectively. How much (in Rs. ) did Nitin give to Rishi?

Correct option is B

​Given:
​Total amount with Nitin = Rs. 1224
Parvin invested for 14 years at 4% compound interest
Rishi invested for 15 years at 4% compound interest
​Both received the same final amount
​Concept Used:
$$A = P \left(1 + \frac{R}{100} \right)^T$$​
​Solution:
​Let Pravin's principal = P and Rishi's principal = R
P+R = 1224 
​Since final amounts are equal:
​$$P(1.04)^{14} = R(1.04)^{15}$$​
​=> P = 1.04R
​Substitute P = 1.04R in P + R = 1224
​1.04R + N = 1224
​2.04R = 1224
R = $$\frac{1224}{2.04}$$​​ = 600
​Amount with Rishi = Rs.600​