Giving two successive discounts of 20% is same as giving one discount of -------------- %.

Options

A. 36
B. 40
C. 44
D. 50

Answer

To find the single equivalent discount for two successive discounts of 20%, we can use the formula for successive discounts or calculate it step by step. Here’s how to solve it:

### Step-by-Step Solution:

1. **Understanding the Discounts**:
- We have two successive discounts of 20%. This means that the first discount is applied, and then the second discount is applied to the new price after the first discount.

2. **Using the Formula**:
- The formula for calculating the equivalent single discount (D) when two successive discounts of x% and y% are given is:
\[ D = x + y - \frac{x \cdot y}{100} \]
- Here, both x and y are 20%.

3. **Substituting the Values**:
- Substitute x = 20 and y = 20 into the formula:
\[ D = 20 + 20 - \frac{20 \cdot 20}{100} \]

4. **Calculating the Product**:
- Calculate \( \frac{20 \cdot 20}{100} \):
\[ \frac{400}{100} = 4 \]

5. **Final Calculation**:
- Now substitute back into the equation:
\[ D = 20 + 20 - 4 = 36 \]

6. **Conclusion**:
- Therefore, giving two successive discounts of 20% is the same as giving one discount of **36%**.