A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 21% less than what is written on it. Find his profit percentage.

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SSC GD Constable 2025 Official Paper (Held On: 05 Feb, 2025 Shift 2)
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  1. \(27 \frac{47}{79} \%\)
  2. \(25 \frac{46}{79} \%\)
  3. \(28 \frac{92}{79} \%\)
  4. \(26 \frac{46}{79} \%\)

Answer (Detailed Solution Below)

Option 4 : \(26 \frac{46}{79} \%\)
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Detailed Solution

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Given:

The shopkeeper uses a weight that weighs 21% less than the actual weight.

He sells the goods at the cost price (CP).

Formula Used:

Profit Percentage = (Profit / Cost Price) × 100

Calculation:

Let the actual weight be 100 units.

⇒ Weight used by the shopkeeper = 100 - 21 = 79 units

Let the cost price (CP) of 1 unit of goods = ₹1.

Total cost price for 79 units = 79 × 1 = ₹79

Selling Price (SP) of 79 units = Selling Price for 100 units (as he promises to sell at cost price).

⇒ SP = ₹100

Profit = SP - CP

⇒ Profit = 100 - 79 = ₹21

Profit Percentage = (Profit / CP) × 100

⇒ Profit Percentage = (21 / 79) × 100

⇒ Profit Percentage = 26 (46/79)%

Therefore, the shopkeeper's profit percentage is 26 (46/79)%.

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