Question : The marked price of a speaker is Rs. 1000. A man buys it at Rs. 873 after getting two successive discounts of 10% and $x\%$. What is the value of $x\%$?
Option 1: 5%
Option 2: 8%
Option 3: 4%
Option 4: 3%
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Correct Answer: 3%
Solution : Let the first discount as 10% and the second discount as \(x\%\). After the first discount of 10%, the price of the speaker becomes 90% of the marked price = 0.9 × 1000 = Rs. 900 Given that the man buys it at Rs. 873 after the second discount. $⇒ 900 × (1 - \frac{x}{100}) = 873$ $⇒ 100 × (1 - \frac{x}{100}) = 97$ $⇒ 100-x = 97$ $⇒ x = 3$ Hence, the correct answer is 3%.
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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 : The marked price of a watch is Rs. 1600. The shopkeeper gives successive discounts of 10% and $x$% to the customer. If the customer pays Rs. 1224 for the watch, the value of $x$ is:
Option 2: 10%
Option 3: 15%
Option 4: 20%
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 3: 12%
Option 4: 5%
Question : The price of a bicycle is marked by a trader at Rs. 1000. He sold the bicycle allowing successive discounts of 20%, 10% and 5%. Thus the trader gained 14%, then the cost price of the bicycle (in rupees) is:
Option 1: Rs. 790
Option 2: Rs. 600
Option 3: Rs. 560
Option 4: Rs. 510
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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