A shopkeeper gives a discount of 12% on the purchase of 10 kg of sugar. The cost price of the sugar is ₹30/kg, and the marked price is ₹38/kg. The weighing machine of the shopkeeper is faulty, and it shows a weight of 1 kg when the actual weight is 900 grams. Find the percentage profit of the shopkeeper (rounded off to two decimal places)
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Correct answer: A
Explanation
The correct answer is Option 1 i.e. 23.85%.
The shopkeeper offers a 12% discount on the marked price of ₹38/kg.
So, the selling price (SP) per kg after the discount = 38 × (1 - 12/100)
⇒ 38 × 0.88 = 33.44
Since the shopkeeper is selling 10 kg (as per the faulty weighing machine),
The total displayed weight price = 33.44 × 10 = 334.4
Due to the faulty weighing machine, when the machine shows 1 kg, it weighs 900 grams.
Therefore, for 10 kg shown on the machine,
The actual weight sold = 10 × 0.9 = 9 kg
The cost price per kg is ₹30,
So the cost price for the actual 9 kg of sugar sold = 30 × 9 = 270
Now,
The shopkeeper receives ₹334.4 for 9 kg of sugar, which cost him ₹270.
Profit = 334.4 - 270 = 64.4
So,
Profit percentage = (Profit/Actual CP) × 100
⇒ 64.4/270 × 100 = 23.85%
Thus, the percentage profit of the shopkeeper is approximately 23.85%