Question

The selling price of a table is more than its cost price by $25\%$ Then the cost price is less than selling price by

Answer 1

Let the cost price(CP) be $Rs.x$
Selling price(SP)$=x+25\%$ of $x$
$=x+\frac{25}{100}\times x$
$=x+\frac{x}{4}$
$=\frac{4x+x}{4}$
Therefore, SP$=\frac{5x}{4}$
Difference between SP and CP $=$SP$-$CP
$=\frac{5x}{4}-x$
$=\frac{5x-4x}{4}$
$=\frac{x}{4}$
Therefore, percentage of difference$=\frac{\text{Difference}}{\text{CP}}\times 100\%$
$=\frac{\frac{x}{4}}{x}\times 100\%$
$=\frac{1}{4}\times 100\%$
$=25\%$