A shopkeeper offers the following discount schemes for the purchase of his goods. Find the scheme which has the maximum discount.
(1) Two successive discounts of 20% and 10%
(ii) Discount of 10%
(iii) Buy 8 and get 4 free
(iv) Buy 9 and get 6 free
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. (iv).
Scheme (i): Two successive discounts of 20% and 10%.
Successive discount = 20 + 10 - (20 × 10)/100 = 20 + 10 - 2 = 28%
Scheme (ii): Discount = 10%
Scheme (iii): Buy 8 and get 4 free.
Total items = 8 (bought) + 4 (free) = 12
Discount = 4 free items out of 12 total items
Discount percentage = (4/12) × 100 = %
Scheme (iv): Buy 9 and get 6 free
Total items = 9 (bought) + 6 (free) = 15
Discount = 6 free items out of 15 total items
Discount percentage = (6/15) × 100 = 40%
Therefore, scheme (iv) has a maximum discount of 40%.