A single discount to two successive discounts of 20% and 5% is _________________%.

To find the equivalent single discount for two successive discounts of 20% and 5%, we can use the formula for successive discounts. The formula is:

Calculating Successive Discounts

If the original price is represented as 100, the first discount of 20% reduces the price to:

• Price after first discount: 100 - (20% of 100) = 100 - 20 = 80

Next, applying the second discount of 5% to the new price:

• Price after second discount: 80 - (5% of 80) = 80 - 4 = 76

Finding the Total Discount

The total discount from the original price of 100 to the final price of 76 is:

• Total discount = Original price - Final price = 100 - 76 = 24

Calculating the Equivalent Single Discount Percentage

To find the equivalent single discount percentage:

• Equivalent single discount = (Total discount / Original price) × 100
• Equivalent single discount = (24 / 100) × 100 = 24%

Thus, the single discount equivalent to the two successive discounts of 20% and 5% is 24%.