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Cost price of an article is Rs. 5500. It was sold at a profit of 9.09%. If the article was sold at a discount of 20%, then what is the marked price (in Rs.) of the article?
  • a)
    6000
  • b)
    7500
  • c)
    6600
  • d)
    6800
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Cost price of an article is Rs. 5500. It was sold at a profit of 9.09%...
Cost price of article = Rs. 5500
Profit = 9.09%
Profit% = (SP - CP)/CP × 100
9.09 = (SP - 5500)/5500 × 100 ⇒ SP = Rs. 6000
Discount % = (MP - SP)/MP × 100
Let the marked price be Rs. X and discount is 20%
20 = (X - 6000)/X × 100
(X - 6000) = X/5
⇒ X = Rs. 7500
Marked price = Rs. 7500
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Most Upvoted Answer
Cost price of an article is Rs. 5500. It was sold at a profit of 9.09%...
Given:
Cost price of the article = Rs. 5500
Profit percentage = 9.09%
Discount percentage = 20%

To Find:
Marked price of the article

Solution:
Let's assume the marked price of the article as 'M'.

Calculating the Selling Price with Profit:
Profit percentage = (Selling Price - Cost Price) / Cost Price * 100
9.09% = (Selling Price - 5500) / 5500 * 100
Selling Price - 5500 = (9.09/100) * 5500
Selling Price - 5500 = (9.09/100) * 5500
Selling Price - 5500 = 500
Selling Price = 5500 + 500
Selling Price = Rs. 6000

Calculating the Selling Price with Discount:
Discount percentage = (Marked Price - Selling Price) / Marked Price * 100
20% = (M - 6000) / M * 100
20M = 100M - 600000
80M = 600000
M = 600000 / 80
M = Rs. 7500

Therefore, the marked price of the article is Rs. 7500. Hence, option B is the correct answer.
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