An item of price ₹ 840 is sold for a ₹ 714, what is the discount percentage ?

Options

A. A)`20%`
B. B)`22%`
C. C)`15%`
D. D)`25%`

Answer

To find the discount percentage on an item sold, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Marked Price and Selling Price:**
- The marked price (MP) of the item is ₹840.
- The selling price (SP) of the item is ₹714.

2. **Calculate the Discount Amount:**
- The discount amount (D) can be calculated using the formula:
\[ D = MP - SP \]
- Substituting the values:
\[ D = 840 - 714 = 126 \]

3. **Calculate the Discount Percentage:**
- The discount percentage (DP) can be calculated using the formula:
\[ DP = \left( \frac{D}{MP} \right) \times 100 \]
- Substituting the values:
\[ DP = \left( \frac{126}{840} \right) \times 100 \]

4. **Simplify the Calculation:**
- First, simplify \( \frac{126}{840} \):
- Both numbers can be divided by 42:
\[ \frac{126 \div 42}{840 \div 42} = \frac{3}{20} \]
- Now, substitute back into the discount percentage formula:
\[ DP = \left( \frac{3}{20} \right) \times 100 \]

5. **Final Calculation:**
- Calculate \( \frac{3}{20} \times 100 \):
\[ DP = 15 \]

6. **Conclusion:**
- The discount percentage is **15%**.