Question : An article is sold for INR 54,120 after two successive discounts of 12 percent and 18 percent. What is the marked price of the article?
Option 1: INR 75,000
Option 2: INR 78,000
Option 3: INR 72,000
Option 4: INR 81,000

Question

Question : The marked price of an article is INR 50,000. Of three shopkeepers, the first one allows two successive discounts of 25% and 15%. The second one allows two successive discounts of 20% and 20%. The third shopkeeper allows two successive discounts of 30% and 10%.

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Answer 1

Correct Answer: INR 75,000

Solution : Given: An article is sold for INR 54,120 after two successive discounts of 12 percent and 18 percent.
For two successive discounts Selling price = $\frac{100 - {Discount}_{1} %}{100} \times \frac{100 - {Discount}_{2} %}{100} \times$ marked price
$54120 = (1 - \frac{12}{100}) \times (1 - \frac{18}{100}) \times M P$
⇒ $54120 = \frac{88}{100} \times \frac{82}{100} \times M P$
⇒ $M P = \frac{54120 \times 100 \times 100}{88 \times 82} =$ INR 75,000
Hence, the correct answer is INR 75,000.

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Question : An article is sold for INR 54,120 after two successive discounts of 12 percent and 18 percent. What is the marked price of the article?Option 1: INR 75,000Option 2: INR 78,000Option 3: INR 72,000Option 4: INR 81,000

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Question : An article is sold for INR 54,120 after two successive discounts of 12 percent and 18 percent. What is the marked price of the article?
Option 1: INR 75,000
Option 2: INR 78,000
Option 3: INR 72,000
Option 4: INR 81,000