Question

Raj Kumar Das professes to sell his goods at cost price. But he uses a false weight and thus gains $25\%$. For a kg, he uses a weight of

• A. $900$gm
• B. $700$gm
• C. $850$gm
• D. $800$gm

Answer 1

Answer: (D)

$800$gm

Amount of goods purchased $=1kg$

Let amount of goods sold $=X$ Kg

Remaining amount will be profit.

So, $Profit=1-X$

$\therefore Gainpercentage=\frac{Profit\times 100}{Amountofgoodssold}=\frac{(1-X)\times 100}{X}$

$\Rightarrow 25=\frac{(1-X)\times 100}{X}$

$\Rightarrow 25X=100-100X$

$\Rightarrow 125X=100$

$\therefore X=\frac{100}{125}=0.8Kg=800gram$

Hence weight used = 800 grams