Question

If a “Buy 3, Get 1” sales promotion offer is changed to “Buy 2, Get 1”, what is the additional percentage of discount given? Assume that all the items have the same price.

• A. 12.5
• B. 8.33
• C. 5
• D. 25

Answer 1

The correct option is B 8.33

Let us assume that the price of each item is ₹ 100 for simplicity in calculations.
Intially the offer is "Buy 3, Get 1".
Marked price of 4 items = $4\times 100$ = ₹ 400
Selling price of 4 items = $3\times 100$ = ₹ 300
Discount = Marked price - selling price
= 400 - 300
= ₹ 100
Discount percentage = $\frac{Discoount}{Markedprice}\times 100$
= $\frac{100}{400}\times 100$
= $25$%

The new offer is “Buy 2, Get 1”
Marked price of 3 items = $3\times 100$ = ₹ 300
Selling price of 3 items = $2\times 100$ = ₹ 200
Discount = Marked price - selling price
= 300 - 200
= ₹ 100
New discount percentage = $\frac{Discoount}{Markedprice}\times 100$
= $\frac{100}{300}\times 100$
= $33.33$%

Increase in discount percentage = $33.33$% $-25$% = $8.33$%