Question

How much percent above the cost price should a shopkeeper mark his goods so that after allowing a discount of $10\%$ on the marked price, he carns a profit of $8\%$

Answer 1

Let marked price be $Rs100$

Discount$=Rs(\frac{10}{100}\times 100)=Rs10$

$\therefore$ Selling price $Rs90$

Let east price be$Rsx$

Profit$=Rs\frac{8x}{100}$

$\therefore$ Selling Price $Rs\frac{108x}{100}$

Now, $\frac{108x}{100}=90$

or, $x=\frac{90\times 100}{108}=83.33$

$\therefore$ Cost price$=Rs83.33$

Amount masked above CP $=Rs(100-83.33)$

$=416.67$

$\therefore$ Percentage of masked price above CP

$=\frac{16.67}{83.33}\times 100$

$=20\%$