Question

Samy sold his dinning table set at a loss of $20\%$. If he had sold it for Rs.$800$ more, he would have received a profit of $5\%$. Find the cost price.

Answer 1

Let selling price of table be 'x'

& cost price of table be 'y' then

$\Rightarrow$ cost =20%

$\frac{los}{100}=\frac{y-x}{y}=1\frac{x}{y}$

$\frac{x}{y}=1-0.2$

[x=0.8y] ... (1)

and if selling price = 800+x.

then

gain = 5%

gain%= $\frac{x+800-y}{y}\times 100$

0.05=$\frac{x}{y}+\frac{800}{y}-1$

1.05\times y=x+800$

$0.75y=800$

$y=\frac{80000}{0.75}$ 1066.6 Rs

$\therefore$ cost price of table is 1066.6 RS.