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A Philanthropist wants to set up an annual award for the best student in the IIMV PGP program. The first award of Rs.1,00,000/- will be

A Philanthropist wants to set up an annual award for the best student in the IIMV PGP program. The first award of Rs.1,00,000/- will be paid out on 31st Dec 2022. To compensate for inflation, the award will increase by 3% every year. The money for the award will come out of a lump sum invested by the philanthropist in a trust fund on 31st Dec 2021. The fund currently offers an annual rate of 7% on all investments, and he invests the appropriate amount under the assumption that this rate will remain constant. Unfortunately, a financial crisis hits the country a decade later, so the funds interest rate drops to 2% on Jan 1, 2032, and stays there. For how many years can the award amount be paid out after 2031?

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