Question

a trader sold an article at 10% profit if he had sold it at 10% loss,it would yield RS 140 less than the previous selling price.find the cost price of the article.​

Answer 1

Answer:

CP = ₹ 700

Step-by-step explanation:

Let the cost price be 'x'

SP = $(\frac{100+Profit}{100})*CP$

   $= \frac{100+10}{100}*x\\\\=\frac{110}{100}*x\\\\= \frac{11}{10}x$

If it had been sold are 10% loss, then

SP = $(\frac{100-loss}{100})*CP$

     $=\frac{100-10}{100}*x\\\\=\frac{90}{100}*x\\\\=\frac{9}{10}x$

Difference in both the selling price =  140

$\frac{11}{10}x-\frac{9}{10}x=140\\\\\\\frac{2}{10}x=140\\\\\frac{1}{5}x=140\\\\ x = 140*5\\x = 700$