A shopkeeper offers the following four schemes.
A) Two successive discounts of 28% and 28%
B) Buy 1, get 4
C) Discount of 35%
D) Two successive discounts of 27% and 26%
Which scheme is best for the customer?

Correct option is B

Given
Scheme A: 28% and 28% successive discounts
Scheme B: Buy 1, get 4
Scheme C: 35% fixed discount
Scheme D: 27% and 26% successive discounts
Formula Used
Equivalent successive discount = $$a + b - \frac{a \times b}{100}$$​​
Discount % for 'Buy X get Y' = $$\frac{\text{Free Items}}{\text{Total Items}} \times 100$$​​
Solution
Scheme A equivalent discount = $$28 + 28 - \frac{28 \times 28}{100} = 56 - 7.84 = 48.16\%$$​​
Scheme B (Buy 1 get 4): The customer gets 4 items free out of 5 total items. Discount = $$\frac{3}{4} \times 100 = 75\%$$​​
Scheme C discount = 35%
Scheme D equivalent discount = $$27 + 26 - \frac{27 \times 26}{100} = 53 - 7.02 = 45.98\%$$​​
Comparing all options, Scheme B provides the maximum discount of 75%, which is the best for the customer.
Final Answer
So the correct answer is (b)