For the same principal amount, the compound interest for two years at 5% perĀ annum exceeds the simple interest for three years at 3% per annum by Rs 1125.Ā Then the principal amount in rupees is
Correct Answer: 90000
For two years the compound interest isĀ $$\frac{PR(1)}{100}+\frac{PR(1)}{100}\left(1+\frac{PR(1)}{100}\right)$$
For three years the simple interest isĀ $$\frac{9PR}{100}$$
Now R(1)= 5% and R=3%
HenceĀ $$\frac{5P}{100}+\frac{5P}{100}\left(1.05\right)-\frac{9P}{100}=1125$$
$$\frac{-4P}{100}+\frac{5.25P}{100}=1125$$
$$\frac{1.25P}{100}=1125$$
Solving we get P= 90000
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