Question

Karthik marked an article at $60\%$ above its cost price. He sold it at a profit after $2$ successive discounts of $10\%$ each. Find the profit percentage.

Answer 1

Let $x$ be the cost price of the article.

$S.P=x+\frac{60}{100}x=\frac{160}{100}x$

$1^{st}10\%$ discount

$S.P_1=\frac{160}{100}x-\frac{10}{100}\left(\frac{160}{100}\right)x$

$=\frac{90}{100}\times \frac{160}{100}\times x=\frac{72x}{50}$

$2nd10\%$ discount

$S.P_2=\frac{72x}{50}-\frac{10}{100}\left(\frac{72x}{50}\right)$

$=\frac{90}{100}\times \frac{72}{50}x=\frac{153}{125}x$

$Profit=\frac{\frac{153}{125}x-x}{x}\times 100$

$=\frac{28}{125}\times 100=22.4\%$