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A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:
  • a)
    A neither losses nor gains
  • b)
    A makes a profit of 11%
  • c)
    A makes a profit of 20%
  • d)
    B loses 20%
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A sells an article to B at a profit of 10% B sells the article back t...
Solution:

Given, A sells an article to B at a profit of 10%. Let the cost price of the article for A be Rs. x.

Selling price of the article for A = x + 10% of x = 1.1x.

B sells the same article back to A at a loss of 10%. Let the selling price of the article for B be Rs. y.

Cost price of the article for B = y + 10% of y = 1.1y.

As B sells the article back to A, the selling price of B becomes the cost price for A.

So, 1.1y = selling price of the article for A.

Now, A buys the article back at a loss of 10%.

So, A sells the article for 0.9(1.1y) = 0.99y.

Profit or Loss for A:

Profit or Loss = Selling price - Cost price

Profit or Loss = 0.99y - 1.1x

As given, A sells the article to B at a profit of 10%.

So, 1.1x = selling price of the article for A

Profit or Loss = 0.99y - 1.1x

Profit or Loss = 0.99y - 1.1(1.1y/1.1)

Profit or Loss = 0.99y - y

Profit or Loss = -0.01y

Therefore, A makes a profit of 1% (not 11% as mentioned in option B) when B sells the article back to A at a loss of 10%. Hence, option B is the correct answer.
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Community Answer
A sells an article to B at a profit of 10% B sells the article back t...
Let CP was 100 for A originally
A sells article to B at 10% profit,
CP for B = 100 + 10% of 100 = 110
Now, B sells it A again with loss 10%
Now, CP for A this time = 110 - 10% of 110 = 99
A makes Profit = 110 - 99 = 11
= 11%
Hence, the correct option is (B).
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A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:a)A neither losses nor gainsb)A makes a profit of 11%c)A makes a profit of 20%d)B loses 20%Correct answer is option 'B'. 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 A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:a)A neither losses nor gainsb)A makes a profit of 11%c)A makes a profit of 20%d)B loses 20%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:a)A neither losses nor gainsb)A makes a profit of 11%c)A makes a profit of 20%d)B loses 20%Correct answer is option 'B'. Can you explain this answer?.
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