Question : At a certain time, the ratio of a certain principal and the simple interest obtained from it are in the ratio 10 : 3 at 10% interest per annum. The number of years the money was invested is:
Option 1: 1 year
Option 2: 3 years
Option 3: 5 years
Option 4: 7 years
Correct Answer: 3 years
Solution :
Given: The ratio of a certain principal and the simple interest obtained from it are in the ratio 10 : 3 at 10% interest per annum.
Simple interest (SI) = $\frac{P×R×T}{100}$, where $P$ is the principal amount, $R$ is the rate of interest per annum, and $T$ is the time in years.
According to the question,
Let principal = $10x$, SI = $3x$, and rate = 10%
So, $3x =\frac{10x\times T\times 10 }{100}$
⇒ $T = \frac{3x \times 100}{10x \times 10} = 3$ years
Hence, the correct answer is 3 years.
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