Question : A shopkeeper offers the following two discount schemes.
A) Buy 3 get 4 free
B) Buy 5 get 6 free
Which scheme has the maximum discount percentage?
Option 1: A
Option 2: A does not give any discount
Option 3: A and B both have the same discount percentage
Option 4: B
Correct Answer: A
Solution :
Let the value of each item be 1.
A) Buy 3 get 4 free.
Discount percentage = $\frac{\text{Number of free articles}}{\text{Number of paid articles + Number of free articles}}$ × 100%
The discount percentage = $\frac{4}{4+3}\times 100=\frac{4}{7}\times 100 = 57.14\%$
B) Buy 5 get 6 free.
The discount percentage = $\frac{6}{5+6}\times 100 =\frac{6}{11}\times 100 = 54.55\%$
So, A offers a higher discount percentage than Scheme B.
Hence, the correct answer is A.
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