Question : Two successive discounts of 20% and 30% are given while selling an item. What is the ratio of the marked price to the selling price of the item?
Option 1: 25 : 11
Option 2: 25 : 14
Option 3: 28 : 11
Option 4: 27 : 16
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Correct Answer: 25 : 14
Solution : Given: Two successive discounts of 20% and 30% are given while selling an item. Let the marked price be INR 100. The selling price after the first discount = 100 – 20 = INR 80. The selling price after the second discount = 80 – 30% of 80 = 80 – 24 = INR 56 The ratio of the marked price to the selling price of the item = 100 : 56 = 25 : 14 Hence, the correct answer is 25 : 14.
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Question : The marked price of the item was INR 5,000. While selling the item, the seller offered successive discounts of 15% and 5%. What was the final selling price of the item?
Option 1: INR 4,730
Option 2: INR 4,370.50
Option 3: INR 4,250
Option 4: INR 4,037.50
Question : On selling a watch at $\frac{5}{6}$ of the marked price there is a loss of 10%. What will be the ratio of the marked price and cost price of the watch?
Option 1: 28 : 27
Option 2: 27 : 25
Option 3: 29 : 25
Option 4: 25 : 22
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
Question : The marked price of a cap is INR 2,000. Two successive discounts of 15% and $x$% are given. If the selling price is INR 1,275, then what is the value of $x$?
Option 1: 20%
Option 2: 22.5%
Option 3: 27.5%
Option 4: 25%
Question : If an item whose marked price is INR 1,000 is sold after two successive discounts of 10% and 15%, then find the price at which the item is sold.
Option 1: INR 775
Option 2: INR 745
Option 3: INR 755
Option 4: INR 765
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