If the simple interest on ₹7,200 in 3 years at the rate of 16% per annum equals the simple interest on ₹9,600 at the rate of x% per annum in 4 years. The value of x is equal to:

Correct option is A

Given: Principal (P1) = ₹7,200, Time (T1) = 3 years, Rate (R1) = 16% per annum, Principal (P2) = ₹9,600, Time (T2) = 4 years, Rate (R2) = x% per annum
Formula Used: Simple Interest (SI) = (P × R × T) / 100
Solution:
According to the question, SI on both cases are equal.
For the first case, SI_1 = (7,200 × 16 × 3) / 100 = ₹3,456
For the second case, SI_2= (9,600 × x × 4) / 100
Since SI1 = SI2,
3,456 = (9,600 × x × 4) / 100
x = (3,456 × 100) / (9,600 × 4)
x = 9%