Question : A shopping mart offers four different discount schemes on the sale of an object as follows:
(1) A discount of 30%
(2) Two successive discounts of 15%
(3) Buy 2, get 1 free
(4) Buy 5, get 3 free
Which discount scheme offers the maximum discount to a customer?
Option 1: 1
Option 2: 4
Option 3: 2
Option 4: 3
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Correct Answer: 4
Solution :
(1) A discount of 30%.
(2) Two successive discounts of 15%
This is equivalent to (15 + 15 – $\frac{15\times 15}{100})$% = 27.75%.
(3) Buy 2, get 1 free.
The total number of items is 3 and 1 is free.
So, discount = $\frac{1}{3} × 100$ = 33.33%
(4) Buy 5, get 3 free.
The total number of items is 8, and 3 are free.
So, the discount is $\frac{3}{8} × 100$ = 37.5%
The discount scheme which offers the maximum discount to a customer is (4) Buy 5, get 3 free.
Hence, the correct answer is 4.
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