A 20% discount is offered on an item. By applying a promo code, the customer wins a 30% cashback. What is the effective discount?
- A44 percent
- B30 percent
- C32 percent
- D22 percent
Solution & Step-by-step Explanation
Let the initial marked price of the item be Rs. 100.
First, a 20% discount is offered:
Price after discount=100−20=Rs. 80
Next, a 30% cashback is applied to this amount:
Cashback amount=30% of 80=
100
30
×80=Rs. 24
The net amount paid by the customer:
Effective price=80−24=Rs. 56
The total effective discount from the original price of Rs. 100:
Effective discount=100−56=44%
Alternatively, using the successive percentage formula for discount and cashback benefits:
Net discount=x+y−
100
xy
Net discount=20+30−
100
20×30
=50−6=44%
First, a 20% discount is offered:
Price after discount=100−20=Rs. 80
Next, a 30% cashback is applied to this amount:
Cashback amount=30% of 80=
100
30
×80=Rs. 24
The net amount paid by the customer:
Effective price=80−24=Rs. 56
The total effective discount from the original price of Rs. 100:
Effective discount=100−56=44%
Alternatively, using the successive percentage formula for discount and cashback benefits:
Net discount=x+y−
100
xy
Net discount=20+30−
100
20×30
=50−6=44%