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, find the value of x.

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Step 1: Calculate the simple interest on ₹7,200 for 3 years at 16% per annum.
Simple Interest (SI) = (Principal × Rate × Time) / 100
SI = (7200 × 16 × 3) / 100 = (7200 × 48) / 100 = 3456

Step 2: Let the rate for ₹9,600 for 4 years be x% per annum. The simple interest is:
SI = (9600 × x × 4) / 100 = (38400 × x) / 100 = 384x

Step 3: Since the simple interests are equal:
3456 = 384x
x = 3456 / 384 = 9

Therefore, the value of x is 9.

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