Question

11. An article was sold at a profit of 13%. Had it been sold for Rs. 81 less, a loss of 14% would have
been incurred, what is the cost price of the article? * 15
(1 Point)
Rs. 600
Rs. 400
Rs. 300
Rs. 900

Answer 1

Explanation:

₹400/-..

can see it's ncert question

Answer 2

The cost price of the article  is Rs.300 and option (3) is correct.

Explanation:

Given:

An article was sold at a profit of 13%.

Had it been sold for Rs. 81 less, a loss of 14% would have been incurred.

To Find:

The cost price of the article.

Solution:

Let the cost price of the article is p.

As given-an article was sold at a profit of 13%.

Selling price of article at a profit of 13% $=p(1+\frac{13}{100} )= Rs. \frac{113 p}{100}$.

Selling price of article at a loss of 14% $=p(1-\frac{14}{100} )= Rs. \frac{86 p}{100}$

As given-had it been sold for Rs. 81 less, a loss of 14% would have been incurred.

$\frac{113p}{100} -\frac{86p}{100} =81$

$\frac{113p-86p}{100} =81$

$\frac{27p}{100} =81$

$p=\frac{8100}{27}$

$p= Rs.300$

Hence,The cost price of the article  is Rs.300 and option (3) is correct.

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