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A sum of money invested at $$8\frac{1}{3}\%$$ per annum simple interest, amounted to Rs. 2475 in 1 year 9 months. What will it amount to in 2 years at $$5\%$$ per annum?
The time is $$\frac{7}{4}$$ years, so the interest is $$P \times \frac{25}{3} \times \frac{7}{4} \div 100 = \frac{7P}{48}$$ and the amount is $$\frac{55P}{48} = 2475$$, giving $$P = 2160$$ rupees. At $$5\%$$ for 2 years the interest is $$216$$ rupees. So the amount is $$2160 + 216 = 2376$$ rupees.
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