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56 vote

The price of an article is first increased by 20% and later on decreased by 25% due to reduction in sales. Find the net percentage change in final price of article.

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The price of an article is first increased by 20% and later on decreased by 25% due to reduction in sales. Find the net percentage change in final price of article.
1). 20%
2). 18%
3). 38%
4). 10%


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2 answers

81 vote
Answered by on | Votes 81 |
Solution

Let the initial price of the article = Rs. $100x$

Price after 20% increase = $\frac{120}{100} \times 100x = 120x$

Price after 25% decrease = $\frac{75}{100} \times 120x$

= $90x$

$\therefore$ Net % change = $\frac{100x - 90x}{100x} \times 100$

= $10 \%$

Accepted Answer

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25 vote
Answered by on | Votes 25 |
Solution

Let the initial price of the article = Rs. $100x$

Price after 20% increase = $\frac{120}{100} \times 100x = 120x$

Price after 25% decrease = $\frac{75}{100} \times 120x$

= $90x$

$\therefore$ Net % change = $\frac{100x - 90x}{100x} \times 100$

= $10 \%$




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