Question

A retailer marks his goods at a price that he would get a profit of $40\%$. He sold $40\%$ of the goods at this price, half of the remainings at a discounts of $20\%$ each. Find his loss percent or profit percent on the whole.

• A. $16.6\%$ profit
• B. $16.6\%$ loss
• C. $19.6\%$ profit
• D. $19.6\%$ loss

Answer 1

Answer: (C)

$19.6\%$ profit

Lets assume that retailer bought $\text{100 goods @ Rs 100 each}$
He wants $40$% profit, then marked price $=$ $100+40=Rs140$ each
He sold $40\%$ goods on M.P $=$ $40\times 140=Rs.5600$
Half of remaining at $20\%$ discount, then S.P $=$ $\frac{140\times 80\times 30}{100}=Rs3360$
Total price $=5600+3360+3000=Rs.11960$
Profit $=11960-10000=Rs1960$
$\%$ of profit $=$ $\frac{1960\times 100}{10000}=19.60$%