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A shopkeeper was offering two successive discounts of 20% and 15% on an item whose marked price is Rs1,000, 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.
Rs10
Rs900
Rs90
Rs100
- The first shopkeeper offers two successive discounts on the marked price of Rs. 1,000.
- First, a 20% discount: 20% of Rs. 1,000 is Rs. 200, so the new price is Rs. 800.
- Then, a 15% discount on Rs. 800: 15% of Rs. 800 is Rs. 120, resulting in a final price of Rs. 680.
- The discount given by the first shopkeeper is Rs. 1,000 - Rs. 680 = Rs. 320.
- The second shopkeeper offers a flat 33% discount.
- 33% of Rs. 1,000 is Rs. 330, so the final price is Rs. 670.
- The discount given by the second shopkeeper is Rs. 1,000 - Rs. 670 = Rs. 330.
- The difference in the discounts is Rs. 330 - Rs. 320 = Rs. 10.
- The correct option is: Option 1, Rs. 10.
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