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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 i…

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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.
  • A20%
  • B18%
  • C38%
  • D10%
Answer not set
0
CCommunity
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 = $\frac{100x - 90x}{100x} \times 100$
= $10 \%$
0
CCommunity
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 = $\frac{100x - 90x}{100x} \times 100$
= $10 \%$