A shop offers a ‘Buy 2, Get 1 Free’ deal. What is the equivalent percentage discount?

Question: A shop offers a ‘Buy 2, Get 1 Free’ deal. What is the equivalent percentage discount?

Solution:
Assume the price of each item = 1 Taka.
Then,
Cost of 2 items = 2 Taka
Since 1 item is received for free, total items = 2 + 1 = 3

After the discount,
Cost of 3 items = 2 Taka
∴ Cost per item = 2/3 Taka

Actual price per item = 1 Taka
∴ Discount per item = 1 − (2/3) = 1/3 Taka

So, discount on 1 Taka = 1/3 Taka
∴ Discount on 100 Taka = 100 × (1/3) = 33.33 Taka

Therefore, in a “Buy 2, Get 1 Free” offer, the equivalent discount is 33.33%.