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An article is sold at a loss of 5%. If it is sold at Rs. 72 more, then there would be a profit of 4%. What is the actual price of the article?
  • a)
    Rs. 500
  • b)
    Rs. 600
  • c)
    Rs. 700
  • d)
    Rs. 800
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
An article is sold at a loss of 5%. If it is sold at Rs. 72 more, the...
Given information:
- The article is sold at a loss of 5%.
- If it is sold at Rs. 72 more, then there would be a profit of 4%.

Let's assume:
- The actual price of the article is Rs. X.

Calculating the loss:
- If the article is sold at a loss of 5%, it means it is sold at 95% of its actual price.
- So, the selling price (SP) at a loss of 5% is 95% of X.
- Selling price = (95/100) * X = 0.95X

Calculating the profit:
- If the article is sold at a profit of 4%, it means it is sold at 104% of its actual price.
- So, the selling price (SP) at a profit of 4% is 104% of X.
- Selling price = (104/100) * X = 1.04X

Given condition:
- If the article is sold at Rs. 72 more, then there would be a profit of 4%.
- So, the selling price (SP) at a profit of 4% after adding Rs. 72 is 1.04X + 72.

Equating the selling prices:
- According to the given condition, the selling prices in both cases are the same.
- 0.95X = 1.04X + 72

Solving the equation:
- Subtracting 0.95X from both sides, we get: 0 = 0.09X + 72
- Subtracting 72 from both sides, we get: -72 = 0.09X
- Dividing both sides by 0.09, we get: X = -72/0.09 = -800

Interpreting the result:
- The actual price of the article cannot be negative, so we have made an error in our calculations.
- Let's assume the actual price of the article is Rs. Y instead of X.

Calculating again:
- The selling price at a loss of 5% is 95% of Y, which is 0.95Y.
- The selling price at a profit of 4% after adding Rs. 72 is 1.04Y + 72.

Equating the selling prices:
- According to the given condition, the selling prices in both cases are the same.
- 0.95Y = 1.04Y + 72

Solving the equation:
- Subtracting 0.95Y from both sides, we get: 0 = 0.09Y + 72
- Subtracting 72 from both sides, we get: -72 = 0.09Y
- Dividing both sides by 0.09, we get: Y = -72/0.09 = -800

Interpreting the result:
- The actual price of the article cannot be negative, so we have made an error in our calculations again.
- Let's recheck the given information and conditions.

Correct calculation:
- The selling price at a loss of 5%
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Community Answer
An article is sold at a loss of 5%. If it is sold at Rs. 72 more, the...
Let, the actual price of the article be Rs. 'x'.
The article is sold at a loss of 5%.
Selling price of the article = 95% of Rs. x or Rs. 0.95x
Given,
If it was sold at Rs. 72 more, then there would be a profit of 4%.
0.95x + 72 = 104% of x
0.95x + 72 = 1.04x
0.09x = 72
x = 800
Actual price of the item is Rs. 800.
Hence, answer option 4 is correct.
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An article is sold at a loss of 5%. If it is sold at Rs. 72 more, then there would be a profit of 4%. What is the actual price of the article?a)Rs. 500b)Rs. 600c)Rs. 700d)Rs. 800Correct answer is option 'D'. Can you explain this answer?
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An article is sold at a loss of 5%. If it is sold at Rs. 72 more, then there would be a profit of 4%. What is the actual price of the article?a)Rs. 500b)Rs. 600c)Rs. 700d)Rs. 800Correct answer is option 'D'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about An article is sold at a loss of 5%. If it is sold at Rs. 72 more, then there would be a profit of 4%. What is the actual price of the article?a)Rs. 500b)Rs. 600c)Rs. 700d)Rs. 800Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An article is sold at a loss of 5%. If it is sold at Rs. 72 more, then there would be a profit of 4%. What is the actual price of the article?a)Rs. 500b)Rs. 600c)Rs. 700d)Rs. 800Correct answer is option 'D'. Can you explain this answer?.
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