A dishonest shopkeeper sells goods at cost price but uses 900 grams in place of 1 kg weight. What is his actual profit percent? 

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  1. \(11\frac{1}{9}\)%
  2. \(11\frac{1}{8}\)%
  3. 11%
  4. 9%

Answer (Detailed Solution Below)

Option 1 : \(11\frac{1}{9}\)%
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Detailed Solution

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Given: 

A dishonest shopkeeper sells goods at cost price but uses 900 grams in place of 1 kg weight.

Concept: 

Profit % = (Profit / CP) × 100%

Calculation: 

Let the cost price of 1 kg of goods be Rs. 1000.

the shopkeeper uses 900 grams instead of 1 kg.

So, the customer receives only 900 grams of goods for 1000 rupees.

Cost price of 900 grams = (900 / 1000) × 1000 = 900 rupees.

Now, profit = Selling Price - Cost Price of 900 grams

Profit = 1000 - 900 = 100 rupees.

Profit % = (100 / 900) × 100% = (1 / 9) × 100% ≈ \(11\frac{1}{11}\%\)%

Hence, the actual profit percent for the shopkeeper is \(11\frac{1}{11}\%\)

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