Discussion
Guddi invested some money in a bank at rate of 6% per annum. At simple interest, after 9 years, she got Rs. 8470. How much did she invest?
Answer: D
\[ \text{SI} = \frac{P \times R \times T}{100} \]
The Rs. 8470 is the amount, which is the principal plus nine years of interest.
\[ 8470 = P\left(1 + \frac{6 \times 9}{100}\right) = P(1.54) \]
\[ P = \frac{8470}{1.54} = \text{Rs. } 5500 \]
Checking: the interest is \( 5500 \times 0.54 = 2970 \), and \( 5500 + 2970 = 8470 \).
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