Question

An article is sold at a loss of 10%. if the same article was sold for 10 rupees more there would have been a profit of 5%. find its cp

Answer 1

$\textbf{Answer}$


$\textbf{Lets assume, Cost price = CP}$
$\textbf{Lets Assume, Selling price = SP}$

First,article is sold at loss of 10%

=> SP = CP - 10%CP
=> SP = CP - (CP / 10)
=> $\textbf{SP = 0.9 CP --------(1)}$

$\textbf{NOW IF}$
Article is sold for 10 Rupees more,profit would be 5%

=> SP + 10 = CP + 5%CP
Lets take value of SP from equation (1),

=> $\textbf{0.9 CP + 10 = CP + (CP / 20)}$

=> 0.9 CP + 10 = (21CP / 20)

=> (21CP / 20) - 0.9 CP = 10

=> 1.05 CP - 0.9 CP = 10

=> 0.15 CP = 10

=> CP = 10/0.15

=> $\textbf{CP = 66.667}$

$\textbf{So cost price is 66.667 Rupees}$

$\textbf{Hope It Helps}$

$\textbf{Thanks}$