find th single discount equivalent to two successive discounts of 20%and 10%.
1*.8 = .8
.8*.9 = .72
so, ...
28
To find the single discount equivalent to two successive discounts of 20% and 10%, you can follow these steps:
1. Start with the original price of the item.
2. Apply the first discount of 20% by multiplying the original price by 0.8 (100% - 20% = 80%). This will give you the price after the first discount.
3. Apply the second discount of 10% by multiplying the price after the first discount by 0.9 (100% - 10% = 90%). This will give you the final price after both discounts.
4. To find the single discount equivalent to the two successive discounts, you need to find the difference between the original price and the final price after the discounts.
Let's use an example to illustrate this:
Original price: $100
First discount of 20%: $100 x 0.8 = $80 (price after the first discount)
Second discount of 10%: $80 x 0.9 = $72 (final price after both discounts)
To find the single discount equivalent to the two successive discounts, subtract the final price after the discounts from the original price:
Single discount = Original price - Final price after discounts
Single discount = $100 - $72
Single discount = $28
Therefore, the single discount equivalent to two successive discounts of 20% and 10% is $28.