Question

A dishonest dealer sells his goods at cost price but uses $20\%$less weight. What is his profit or loss $\%$?

• A. $22.5$%
• B. $12.5$%
• C. $25$%
• D. $50$%

Answer 1

Answer: (C)

$25$%

Let amount of goods purchased $=Xkg$

Amount of good sold is 20% less thax purchased.

So, Amount of goods sold $=X-20\%ofX=0.8X$

Amount remains with dealer will be profit.

So, profit $=X-0.8X=0.2X$

$\therefore Gainpercentage=\frac{Profit\times 100}{Amountofgoodssold}=\frac{0.2X\times 100}{0.8X}=\frac{100}{4}=25\%$