Question

A dishonest shopkeeper declares that he sells his items at cost price, but actually, he uses a false weight of 800 gm for 1 kg. His gain percent is,

• A. $25\%$
• B. $20\%$
• C. $17\%$
• D. $15\%$

Answer 1

The correct option is A

$25\%$

Let the cost price of 1kg of goods = ₹ 100

So, the actual cost price = cost price of 800 gm of goods = ₹ 80

The selling price of 1 kg of goods = ₹ 100

So by definition,

Profit = ₹(100-80) = ₹ 20

$\text{Profit}\%=\frac{\text{profit}}{\text{Cost price}}\times 100$

$\text{Profit}\%=\frac{20}{80}\times 100$

$=25\%$