Question

A man sold a chair and a table together for $Rs.760$ thereby making profit of $25$ on chair and $10$ on table. By selling them together for $Rs.767.50$, he would have made a profit of $10$ on chair and $25$ on table. Find the cost price of each.

Answer 1

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

Given,

$Rs.760=110\%\times y+125\%\times x=1.1x+1.25y$

And

$Rs.767.5=110\%\times x+125\%\times y=1.1y+1.25x$

Solving above two equations,

we get,

$x=300$ and $y=350$

So, cost of chair$=Rs.300$.

and cost of chair$=Rs.350$.