Assertion: Mr. Basu has Rs. 49,500 after cumulative deposit account of Rs. 1500 per month for two and half years, then the interest received by him is Rs. 4500 . Reason: Interest = Maturity value - P x \( n \), where \( P \) is the monthly deposit and \( n \) is the number of months. a) Both Assertion and Reason are false. b) Assertion is true but Reason is false. c) Assertion is false but Reason is true. d) Both Assertion and Reason are true.

To evaluate the assertion and reason, we need to analyze both statements step by step. ### Assertion: Mr. Basu has Rs. 49,500 after a cumulative deposit account of Rs. 1500 per month for two and a half years. 1. **Calculate the total number of months**: - Two and a half years = \( 2.5 \times 12 = 30 \) months. 2. **Calculate the total deposits**: - Monthly deposit \( P = 1500 \) - Total deposits \( = P \times n = 1500 \times 30 = 45000 \). 3. **Calculate the interest received**: - Total amount after deposits = Rs. 49,500. - Interest received = Maturity value - Total deposits = \( 49500 - 45000 = 4500 \). ### Reason: Interest = Maturity value - \( P \times n \), where \( P \) is the monthly deposit and \( n \) is the number of months. This formula is correct as it accurately describes how to calculate the interest received from a cumulative deposit account. ### Conclusion: - The assertion is true because the calculations confirm that Mr. Basu has Rs. 49,500 after making the deposits, and the interest received is indeed Rs. 4500. - The reason is also true as it correctly states the formula for calculating interest. Thus, the correct answer is: **d) Both Assertion and Reason are true.**