Question

If Madhu sold an article at certain price and earned some profit. If she would have sold it at
$\frac{2}{3} rd$ of that price, she would have incurred a loss of 10%. Find his gain percentage by selling the article at its original price.​

Answer 1

Answer:

$35\%$

Step-by-step explanation:

Given=

• Madhu sold an article at certain price and earned some profit.
• If the article is to be sold at 2/3rd of that price, then she would have incurred 10 percent loss.

To find=Gain percentage(profit percent) by selling the article at its original price .

Let the selling price be "x"

Let the gain percentage be "y"

2/3 rd of x would have incurred loss of 10 percent.

:2/3×x=10/100....divide 10 by fraction.

:2/3×x=1/10.........Cross multiply.

:x=3/20

:x=0.15

Therefore,

0.15 ×30 =4.5

profit percent=4.5-loss percent

=4.5-10

=3.5

Therefore, 35 percent.