A 20% discount is offered on an item. By applying a promo code, the customer wins a 10% cashback. What is the effective discount?
- A30.8percent
- B30percent
- C12percent
- D28percent
Solution & Step-by-step Explanation
Let the initial price of the item be 100.
First, a 20% discount is offered:
Price after discount=100−20=80
Then, a 10% cashback is applied to the discounted price:
Cashback amount=10% of 80=
100
10
×80=8
Final effective price=80−8=72
The total effective discount from the original price of 100 is:
Effective Discount=100−72=28%
Alternatively, using the successive percentage formula −a−b+
100
ab
:
Effective Discount=−20−10+
100
(−20)(−10)
=−30+2=−28%
Thus, the effective discount is 28percent.
First, a 20% discount is offered:
Price after discount=100−20=80
Then, a 10% cashback is applied to the discounted price:
Cashback amount=10% of 80=
100
10
×80=8
Final effective price=80−8=72
The total effective discount from the original price of 100 is:
Effective Discount=100−72=28%
Alternatively, using the successive percentage formula −a−b+
100
ab
:
Effective Discount=−20−10+
100
(−20)(−10)
=−30+2=−28%
Thus, the effective discount is 28percent.