Anand has Rs. 1218. He divided it between Anil and Ashok. They invest at 10% CI annually. After 15 and 16 years respectively, both get the same amount. How much did Ashok get?

Correct option is A

Given:
Total money = Rs. 1218
Anil invests for 15 years @ 10% CI annually
Ashok invests for 16 years @ 10% CI annually
Both get the same final amount
Formula Used:
​$$A = P(1 + r)^n$$​​
Solution:
​$$P_1(1.1)^{15} = P_2(1.1)^{16} \\\ \\P_2 = \frac{P_1}{1.1} = P_1 \times \frac{10}{11}\\\ \\P_1 + P_2 = 1218\\\ \\P_1 + P_1 \times \frac{10}{11} = 1218\\\ \\P_1 \times \frac{21}{11} = 1218\\\ \\P_1 = 1218 \times \frac{11}{21} = 638\\\ \\P_2 = P_1 \times \frac{10}{11} = 638 \times \frac{10}{11} = 580\\\ \\$$​​
Final Answer: Ashok gets Rs. 580