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An article is sold at a gain of 15%. Had it been sold for ₹27 more, the profit would have been 20%. Find the cost price of the article.
Given :
An article is sold at a gain of 15%.
Had it been sold for ₹27 more, the profit would have been 20%.
 To do :
We have to find the cost price of an article.
Solution :
Let the cost price of an article be 'x'.
The selling price of article $= x + \frac{15}{100}x = \frac{115}{100}x$
Had it been sold for ₹27 more, then the selling price would be, $\frac{115}{100}x+27$
If the profit had been 20%, the selling price would be, $= x + \frac{20}{100}x = \frac{120}{100}x$
So, $\frac{115}{100}x+27 = \frac{120}{100}x$
$\frac{120}{100}x - \frac{115}{100}x = 27$
$\frac{5}{100}x = 27$
$\frac{1}{20}x = 27$
$x = 27 \times 20 = 540$
Therefore, the cost price of the article is ₹540.
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