The rate of discount being given on a shirt, where selling price is Rs. 576 after deducting a discount of Rs. 109 on its marked price, is :

Options

A. `14%`
B. `18%`
C. `15%`
D. `16%`

Answer

To find the rate of discount on the shirt, we can follow these steps:

### Step 1: Identify the Given Values
- Selling Price (SP) = Rs. 576
- Discount (D) = Rs. 109

### Step 2: Calculate the Marked Price (MP)
The relationship between the Selling Price, Marked Price, and Discount is given by:
\[ \text{SP} = \text{MP} - \text{D} \]
Rearranging this gives us:
\[ \text{MP} = \text{SP} + \text{D} \]
Substituting the known values:
\[ \text{MP} = 576 + 109 = 685 \]

### Step 3: Calculate the Discount Percentage
The formula for the discount percentage is:
\[ \text{Discount Percentage} = \left( \frac{\text{D}}{\text{MP}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Discount Percentage} = \left( \frac{109}{685} \right) \times 100 \]

### Step 4: Perform the Calculation
Calculating the fraction:
\[ \frac{109}{685} \approx 0.159 \]
Now, multiplying by 100 to get the percentage:
\[ 0.159 \times 100 \approx 15.9 \]

### Step 5: Round off the Discount Percentage
Rounding off 15.9 gives us approximately 16%.

### Final Answer
The rate of discount being given on the shirt is **16%**.

---