On compound interest, a certain sum amounts to ₹7350 in 2 years and ₹8575 in 3 years. Find the rate of interest.

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1. **Understand the problem**:  
   The difference between the amounts for 2 years and 3 years is the compound interest for the third year.

2. **Calculate the interest for the third year**:  
   Compound interest for the third year = $$ 8575 - 7350 = 1225 $$.

3. **Find the rate of interest**:  
   The interest for one year is calculated on the amount at the end of the second year (₹7350). Using the formula:  
   $$
   	ext{Rate} = \frac{	ext{Interest} 	imes 100}{	ext{Principal} 	imes 	ext{Time}}
   $$  
   Substituting values:  
   $$
   	ext{Rate} = \frac{1225 	imes 100}{7350 	imes 1} = \frac{50}{3}\%.
   $$

Thus, the rate of interest is **$$ \frac{50}{3}\% $$**, and the correct answer is **(b)**.

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