Question

find the cost price of an article which is sold at rupees 4050 at a loss of 10 percent also find the new selling price of the article which must give a profit of 8 Percent

Answer 1

Cp={100/(100-l)}×sp
={100/(100-10)}×4050
={100/90}×4050
=100×45
=₹4500
sp={(100+p)/100}×cp
={(100+8)/100}×4500
=108×45
=₹4860

Answer 2

Given:  

SP = Rs.4050

Loss% = 10%

To Find: Find the cost price of an article which is sold at rupees 4050 at a loss of 10 percent also find the new selling price of the article which must give a profit of 8 Percent

Solution:

Selling price of article = 4050  

Loss% = 10%  

$CP = \frac{SP \times 100}{100-L\%}\\CP=\frac{4050 \times 100}{100-10}$

CP= 4500

Now we are supposed to find the new selling price of the article which must give a profit of 8 Percent

Profit% = 8%  

CP = 4500  

SP = Cp+Profit  

$SP=4500+8\%(4500)$

SP=4500+0.08(4500)

SP=4860

Hence the the cost price of an article which is sold at rupees 4050 at a loss of 10 percent is Rs. 4500 and the new selling price of the article which must give a profit of 8 Percent is Rs.4860