How many years will it take for amount of Rs. 600 to yield Rs.360 as interest at 20% per annum of S.L.?

Options

A. 1 year
B. 3 year
C. 2 year
D. 4 year

Answer

To solve the problem of how many years it will take for an amount of Rs. 600 to yield Rs. 360 as interest at 20% per annum of Simple Interest (S.I.), we can follow these steps:

### Step 1: Understand the Simple Interest Formula
The formula for calculating Simple Interest (S.I.) is:
\[ S.I. = \frac{P \times R \times T}{100} \]
Where:
- \(S.I.\) = Simple Interest
- \(P\) = Principal amount
- \(R\) = Rate of interest per annum
- \(T\) = Time in years

### Step 2: Identify the Given Values
From the problem, we have:
- \(P = 600\) (Principal amount)
- \(S.I. = 360\) (Simple Interest)
- \(R = 20\%\) (Rate of interest)

### Step 3: Substitute the Values into the Formula
We need to find \(T\). Rearranging the formula to solve for \(T\):
\[ T = \frac{S.I. \times 100}{P \times R} \]

Substituting the known values:
\[ T = \frac{360 \times 100}{600 \times 20} \]

### Step 4: Simplify the Calculation
Calculating the denominator:
\[ 600 \times 20 = 12000 \]
Now substituting back into the equation:
\[ T = \frac{36000}{12000} \]

### Step 5: Perform the Division
Now, divide:
\[ T = 3 \]

### Conclusion
It will take **3 years** for Rs. 600 to yield Rs. 360 as interest at a rate of 20% per annum.

### Final Answer
The answer is **3 years**.

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