Question

A furniture retailer sold two dressing tables each of $Rs7200$. on first dressing table he earned a profit of $20\%$ and on second he has a loss of $20$. find his loss or gain% in this deal.

Answer 1

$Sp$ of $1st$ table=$SP$ of $2nd$ table=$Rs.7200$

Now on $1st$ table be had a profit of $20$%

$\therefore$ $C.P=\frac{S.P}{\left(1+\frac{gain}{100}\right)}$

$\begin{array}{c}=\frac{7200}{\left(1+\frac{20}{100}\right)}\\ =\frac{7200\times 100}{120}\\ =Rs.6000\end{array}$

$\therefore$ $CP$ of $1st$ furniture$=Rs.6000$

Now, on $2nd$ table he had a loss of $20$%

Again,

$C.P=\frac{S.P}{\left(1-\frac{loss}{100}\right)}$

$\begin{array}{c}=\frac{7200}{\left(1-\frac{20}{100}\right)}\\ =\frac{7200\times 100}{80}\\ =Rs.9000\end{array}$

Total $C.P=6000+9000=Rs.15000$

Total $S.P=7200+7200=Rs.14400$

Loss=$C.P-S.P$

$=15000-14400=Rs.600$

$Loss\%=\frac{loss\times 100}{C.p}=\frac{600\times 100}{15000}$