Question : How much time will it take for an amount of Rs. 450 to yield Rs. 47.25 as interest at 3.5% per annum of simple interest?
Option 1: 1 year
Option 2: 2 years
Option 3: 3 years
Option 4: 4 years
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Correct Answer: 3 years
Solution :
Given: Principal = Rs. 450
Simple interest = Rs. 47.25
Rate = 3.5%
We know that,
Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
⇒ $47.25 = \frac{\text{450 × 3.5 × Time}}{100}$
⇒ Time = $\frac{47.25\times100}{450\times3.5}$
⇒ Time = $\frac{4725}{1575}=3$ years
Hence, the correct answer is 3 years.
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