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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Correct Answer: INR 765
Solution : Given : ${D}_1=10\%$ ${D}_2=15\%$ Marked Price = INR 1000 Putting values in the equation, Net discount percentage $=10+15-\frac{10\times 15}{2}=25-1.5=23.5\%$ Now Selling price of the item, Selling price = $1000(1-\frac{23.5}{100})=1000\times 0.765=765$ Hence, the selling price of the item is INR 765.
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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 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 : 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 : An item is sold for Rs. 14,400 after two successive discounts of 10 percent and 20 percent. What is the marked price of the article?
Option 1: Rs. 20,000
Option 2: Rs. 20,500
Option 3: Rs. 20,100
Option 4: Rs. 20,200
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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