Question

20% discount is offered on an item. By applying a
promo code the customer wins 10% cash back. What is
the effective discount?
(a) 30.8% (b) 30% (c) 12% (d) 28%​

Answer 1

Answer:

(d).28%

Step-by-step explanation:

if the net amount is x then the amount after discount will be

x-(20x/100)

x-x/5

4x/5

now 10% he got cash back

4x/5-(10/100)4x/5

4x/5-4x/50

(40x-4x)/50

36x/50

72x/100

means that 72% should be paid by the customer

so 100-72=28% the net discount

Answer 2

Given that:

• 20% discount given to an item.
• By applying a promo cōde customer wins 10%.

To Find:

• What is the effective discount?

Let us assume:

• The marked price of an item be Rs. 100.

Finding price of the item at 20% discount:

ㅤ↠ㅤNew Price = 100 - 20% of 100

ㅤ↠ㅤNew Price = 100 - 20

ㅤ↠ㅤNew Price = 80

After applying promo cōde price of item is:

ㅤ↠ㅤFinal price = 80 - 10% of 80

ㅤ↠ㅤFinal price = 80 - 8

ㅤ↠ㅤFinal price = 72

Final the effective discount:

ㅤ↠ㅤDiscount percent = {(100 - 72) × 100}/100 %

ㅤ↠ㅤDiscount percent = {28 × 100}/100 %

ㅤ↠ㅤDiscount percent = 2800/100 %

ㅤ↠ㅤDiscount percent = 28 %

Hence,

• The effective discount is (d) 28%.