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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Updated on: 10-Oct-2022

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