Question

Jamila sold a table and a chair for Rs. $1050$, thereby making a profit of $10\%$ on a table and $25\%$ on the chair. If she had taken a profit of $25\%$ on the table and $10\%$ on the chair, she would have got Rs. $1065$. Find the cost price of each.

Answer 1

Let the $CP$ of chair and table be $x$and $y$ respectively.

Given,

$1050=110\%\times y+125\%\times x=1.1x+1.25y$

And

$1050=110\%\times x+125\%\times y=1.1y+1.25x$

Solving above two equations,

we get,

$x=400$ and $y=500$

So, cost of chair$=Rs.400$.

and cost of table$=Rs.500$.