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The percentage of loss when an article is sold at Rs. 500 is the same as that of the profit% when it is sold at Rs. 700. Find the percentage of profit or loss on the article.
  • a)
    50/3%
  • b)
    50%
  • c)
    15%
  • d)
    17%
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The percentage of loss when an article is sold at Rs. 500 is the same ...
As we know,
P = S.P. – C.P.
L = C.P. – S.P.
L% = (L/C.P.) × 100
Where, P= profit, S..P.= Selling price, C.P.=cost price, L=loss.
Let the C.P. be x.
According to question, 

⇒ x(x – 500) = x(700 – x)
⇒ 2x = 1200
⇒ x = 600
So, loss = 600 – 500 = 100

∴ The required loss% is 50/3%.
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Most Upvoted Answer
The percentage of loss when an article is sold at Rs. 500 is the same ...
As we know,
P = S.P. – C.P.
L = C.P. – S.P.
L% = (L/C.P.) × 100
Where, P= profit, S..P.= Selling price, C.P.=cost price, L=loss.
Let the C.P. be x.
According to question, 

⇒ x(x – 500) = x(700 – x)
⇒ 2x = 1200
⇒ x = 600
So, loss = 600 – 500 = 100

∴ The required loss% is 50/3%.
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Community Answer
The percentage of loss when an article is sold at Rs. 500 is the same ...
As we know,
P = S.P. – C.P.
L = C.P. – S.P.
L% = (L/C.P.) × 100
Where, P= profit, S..P.= Selling price, C.P.=cost price, L=loss.
Let the C.P. be x.
According to question, 

⇒ x(x – 500) = x(700 – x)
⇒ 2x = 1200
⇒ x = 600
So, loss = 600 – 500 = 100

∴ The required loss% is 50/3%.
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