Question : The Marked price of a TV is Rs. 16,000. After two successive discounts, it is sold for Rs. 11,400. If the first discount is 5%, then the rate of the second discount is:
Option 1: 15%
Option 2: 20%
Option 3: 30%
Option 4: 25%
Correct Answer: 25%
Solution : The marked price of a TV = Rs. 16,000 Selling price of a TV = Rs. 11,400 First discount = 5% Let the second discount be $x$%. So, $11400 = \frac{(100-x)}{100}×\frac{95}{100}×16000$ ⇒ $\frac{11400}{15200} = \frac{(100-x)}{100}$ ⇒ $15200-152x = 11400$ $\therefore x = 25\%$ Hence, the correct answer is 25%.
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Question : The marked price of an article is Rs. 530. After two successive discounts, it is sold for Rs. 396.44. If the first discount is 15%, and the second discount is $x$%, then what is the value of $x$?
Option 1: 10.5
Option 2: 10
Option 3: 12.5
Option 4: 12
Question : An article is sold for Rs. 680 after two successive discounts of 20% and $x$% on its marked price. The marked price of the article is Rs. 1,000. What is the value of $x$?
Option 1: 15
Option 2: 15.5
Option 4: 16
Question : On a marked price, the difference of selling prices with a discount of 35% and two successive discounts of 20% and 15%, is INR 504. The marked price of the article (in INR) is:
Option 1: 16,000
Option 2: 16,800
Option 3: 15,500
Option 4: 18,000
Question : The difference between a discount of 30% on Rs. 2,000 and two successive discounts of 25% and 5% on the same amount is:
Option 1: Rs. 30
Option 2: Rs. 35
Option 3: Rs. 25
Option 4: Rs. 40
Question : The marked price of an article is Rs. 250. After allowing two successive discounts of 20% and $x$% on the marked price, it is sold for Rs. 185.60. What is the value of $x$?
Option 1: 8.4%
Option 2: 7.2%
Option 3: 6.8%
Option 4: 7.6%
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