What will be the net discount (in percentage) after two successive discounts of 20% and 10% ?

Options

A. 28
B. 30
C. 32
D. 42

Answer

To calculate the net discount after two successive discounts of 20% and 10%, we can use the formula for successive discounts:

\[ \text{Net Discount} = x + y - \frac{x \cdot y}{100} \]

Where:
- \(x\) is the first discount percentage (20%),
- \(y\) is the second discount percentage (10%).

### Step-by-step Solution:

1. **Identify the Discounts**:
- Let \(x = 20\%\)
- Let \(y = 10\%\)

2. **Apply the Formula**:
Substitute the values of \(x\) and \(y\) into the formula:
\[ \text{Net Discount} = 20 + 10 - \frac{20 \cdot 10}{100} \]

3. **Calculate the Product**:
Calculate \(20 \cdot 10\):
\[ 20 \cdot 10 = 200 \]

4. **Divide by 100**:
Now divide by 100:
\[ \frac{200}{100} = 2 \]

5. **Combine the Values**:
Now substitute back into the formula:
\[ \text{Net Discount} = 20 + 10 - 2 \]

6. **Final Calculation**:
Perform the addition and subtraction:
\[ \text{Net Discount} = 30 - 2 = 28\% \]

### Conclusion:
The net discount after two successive discounts of 20% and 10% is **28%**.

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