Question

A dishonest dealer sells his goods at cost price but uses $10$% less weight.

What is his profit or loss %?

• A. $11.11$%
• B. $12.22$%
• C. $10$%
• D. $20$%

Answer 1

The correct option is A $11.11$%

Let amount of goods purchased $=Xkg$

Amount of good sold is 10% less than purchased.

So, Amount of goods sold $=X-10\%ofX=0.9X$

Amount remains with dealer will be profit.

So, profit $=X-0.9X=0.1X$

$\therefore Gainpercentage=\frac{Profit\times 100}{Amountofgoodssold}=\frac{0.1X\times 100}{0.9X}=\frac{100}{9}=11.11\%$