Find the simple interest on Rs . 50 for 6 months at the rate of 10 paise per rupee per month
A. Rs. 35
B. Rs. 40
C. Rs. 25
D. Rs. 30

Options

A. A
B. C
C. D
D. B

Answer

To find the simple interest on Rs. 50 for 6 months at the rate of 10 paise per rupee per month, we can follow these steps:

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

### Step 2: Identify the values
From the question:
- Principal \( P = 50 \) Rs
- Rate \( R = 10 \) paise per rupee per month. Since there are 100 paise in a rupee, the rate in rupees is:
\[ R = 10 \text{ paise} = \frac{10}{100} \text{ Rs} = 0.1 \text{ Rs} \]
- Time \( T = 6 \) months. To convert this into years:
\[ T = \frac{6}{12} = 0.5 \text{ years} \]

### Step 3: Substitute the values into the formula
Now, substitute the values into the Simple Interest formula:
\[ SI = \frac{50 \times 0.1 \times 0.5}{1} \]

### Step 4: Calculate the Simple Interest
Now, calculate the value:
\[ SI = \frac{50 \times 0.1 \times 0.5}{1} = \frac{50 \times 0.05}{1} = \frac{2.5}{1} = 2.5 \text{ Rs} \]

### Step 5: Convert to paisa (if necessary)
Since the question might require the answer in paisa, we can convert Rs. 2.5 into paisa:
\[ 2.5 \text{ Rs} = 2.5 \times 100 = 250 \text{ paisa} \]

### Step 6: Final Calculation
Since the interest is calculated for 6 months at 10 paise per rupee, we can also calculate it directly:
\[ SI = 50 \times 10 \text{ paise} \times 6 = 50 \times 10 \times 6 = 3000 \text{ paise} = 30 \text{ Rs} \]

### Conclusion
Thus, the simple interest on Rs. 50 for 6 months at the rate of 10 paise per rupee per month is:
\[ \text{SI} = 30 \text{ Rs} \]
The correct option is D. Rs. 30.

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