Question : A shopkeeper was offering two successive discounts of 20% and 15% on an item whose marked price is INR 1,000, while another shopkeeper was offering a flat 33% discount on the same item. Find the positive difference in the nominal amounts of discounts given by the two shopkeepers on the sale of the item.
Option 1: INR 10
Option 2: INR 900
Option 3: INR 90
Option 4: INR 100
Correct Answer: INR 10
Solution :
The shopkeeper was offering two successive discounts of 20% and 15% on an item whose marked price is INR 1,000
Another shopkeeper was offering a flat 33% discount on the same item
Successive Discount =
The single discount will be =
The single discount will be 32%
Discount = Marked Price
On offering the discount of 33%.
Discount = Marked Price
Hence, The positive difference in the nominal amounts of discounts given by the two shopkeepers on the sale of the item will be
= INR 330 - INR 320
= INR 10
Hence the correct answer is INR 10.