If two successive discounts of 20% and 30% are given, what is the net discount (in %)?

Options

A. 40
B. 44
C. 56
D. 60

Answer

To find the net discount when two successive discounts of 20% and 30% are given, we can use the formula for calculating the net discount from successive discounts. The formula is:

\[ \text{Net Discount} = A + B - \frac{AB}{100} \]

where \( A \) is the first discount percentage and \( B \) is the second discount percentage.

**Step 1: Identify the discounts**
- Let \( A = 20\% \)
- Let \( B = 30\% \)

**Step 2: Substitute the values into the formula**
\[ \text{Net Discount} = 20 + 30 - \frac{20 \times 30}{100} \]

**Step 3: Calculate the product of the discounts**
\[ 20 \times 30 = 600 \]

**Step 4: Divide the product by 100**
\[ \frac{600}{100} = 6 \]

**Step 5: Substitute back into the net discount formula**
\[ \text{Net Discount} = 20 + 30 - 6 \]

**Step 6: Perform the addition and subtraction**
\[ \text{Net Discount} = 50 - 6 = 44 \]

Thus, the net discount is **44%**.