The difference between the Simple Interest on some principal at 8% for 8 months and 6% for 14 months is Rs.200. What is the principal?

Correct option is A

​$$\text{SI}_1 - \text{SI}_2 = 200$$​​

​$$\frac{P \times 6 \times \frac{14}{12}}{100}-\frac{P \times 8 \times \frac{8}{12}}{100} = 200$$​​

​$$\frac{P \times 84}{1200} - \frac{P \times 64}{1200} = 200$$​​

​$$\frac{P(84 - 64)}{1200} = 200$$​​

​$$\frac{P \times (20)}{1200} = 200$$​​

​$$P \times (\frac{1}{60}) = 200$$​​

​$$P = 200 \times (60) = 12000$$​​