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A trader allows 10% discount on marked price of an article and gets 20% profit. If the marked price of the article is Rs. 50, what is its cost price ?
  • a)
    Rs. 30
  • b)
    Rs. 32
  • c)
    Rs. 36
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A trader allows 10% discount on marked price of an article and gets 20...
Let the cost price of the article be = Rs. x
Then, the sale price of the article
Marked price of the article = Rs. 50 As per question
 
 
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Most Upvoted Answer
A trader allows 10% discount on marked price of an article and gets 20...
Given information:
- A trader allows a 10% discount on the marked price of an article.
- The trader gets a 20% profit.

To find:
The cost price of the article.

Approach:
1. Let's assume the cost price of the article is 'x'.
2. The marked price is given as Rs. 50.
3. The trader allows a 10% discount on the marked price, so the selling price would be 90% of the marked price.
4. The trader gets a 20% profit, so the selling price would be 120% of the cost price.
5. Using these two conditions, we can form the equation:

Selling Price = 120% of Cost Price (equation 1)
90% of Marked Price = Selling Price (equation 2)

Solution:
Let's solve the equations to find the cost price of the article.

Equation 1: Selling Price = 120% of Cost Price
Selling Price = 1.2x

Equation 2: 90% of Marked Price = Selling Price
0.9 * 50 = 1.2x
45 = 1.2x
x = 45 / 1.2
x = 37.5

Therefore, the cost price of the article is Rs. 37.5.

Conclusion:
The cost price of the article is Rs. 37.5.
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A trader allows 10% discount on marked price of an article and gets 20% profit. If the marked price of the article is Rs. 50, what is its cost price ?a)Rs. 30b)Rs. 32c)Rs. 36d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A trader allows 10% discount on marked price of an article and gets 20% profit. If the marked price of the article is Rs. 50, what is its cost price ?a)Rs. 30b)Rs. 32c)Rs. 36d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A trader allows 10% discount on marked price of an article and gets 20% profit. If the marked price of the article is Rs. 50, what is its cost price ?a)Rs. 30b)Rs. 32c)Rs. 36d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A trader allows 10% discount on marked price of an article and gets 20% profit. If the marked price of the article is Rs. 50, what is its cost price ?a)Rs. 30b)Rs. 32c)Rs. 36d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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