Question

A dishonest dealer professes to sell his goods at C.P., but he uses a weight of $900$ grams for the kg weight. Find his gain per cent

• A. $9\frac{1}{11}$%
• B. $11\frac{1}{9}$%
• C. $40$%
• D. $10$%

Answer 1

The correct option is B $11\frac{1}{9}$%

Percentage Gain =$\frac{\left[\right(SellingPrice-CostPrice)\ast 100]}{CostPrice}$

Suppose the cost price of $1g$ is $x$.

Therefore,

Selling Price $=1000x$ (because he claims to be giving $1kg$ weight)

Cost Price $=900x$ (because the goods he actually gives is $900g$)

So,

Percentage Gain $=\frac{\left[\right(1000x-900x)\times 100]}{900x}$

Percentage Gain $=\frac{\left[\right(100x\left)100\right]}{900x}$

Percentage Gain $=\frac{10000x}{900x}$

Percentage Gain $=100/9=11\frac{1}{9}\%$

Hence, his percentage gain is $11\frac{1}{9}\%$