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%
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Correct Answer: 25%
Solution : Given, The marked price of a cap is INR 2,000. Two successive discounts of 15% and $x$% are given and the selling price is INR 1,275. We know, Discounted price = $\frac{100-\text{discount percentage}}{100}×$ marked price With successive discounts of 15% and $x$% in 2000, ⇒ $1275=\frac{100−15}{100}×\frac{100−x}{100}×2000$ ⇒ $1275=\frac{85}{100}×\frac{100-x}{100}×2000$ ⇒ $1275=\frac{85\times 2(100-x)}{10}$ ⇒ $1275=17(100-x)$ ⇒ $75=100-x$ ⇒ $x=25$% Hence, the correct answer is 25%.
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Question : The marked price of a computer is Rs. 10000. Selling price of the computer is Rs. 7650. If two successive discounts of 15 percent and x percent are given, then what is the value of x?
Option 1: 5 percent
Option 2: 15 percent
Option 3: 10 percent
Option 4: 20 percent
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
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 : 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
Question : The marked price of a computer is Rs. 14,000. The selling price of the computer is Rs. 9,702. If two successive discounts of 23% and $y$% are given, then what is the value of $y$?
Option 1: 15%
Option 2: 10%
Option 3: 12%
Option 4: 5%
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