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%
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 = $\frac{100x - 90x}{100x} \times 100$
= $10 \%$
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 = $\frac{100x - 90x}{100x} \times 100$
= $10 \%$