Question : A shopkeeper sells his items using a faulty balance which measures 25% less. He then marks up his items 15% above the cost price. If he also gives a discount of 10%, then find his net profit percentage on 1 kg items.
Option 1: 32%
Option 2: 41%
Option 3: 44%
Option 4: 38%
Correct Answer: 38%
Solution :
Let the cost price of 1 kg of items be Rs. 100.
The faulty balance measures 25% less, so the shopkeeper sells only 0.75 kg of items for the price of 1 kg.
He marks up his items 15% above the cost price, so he sells the items at Rs. 115 per kg.
He gives a discount of 10%, so the selling price becomes 90% of Rs. 115, which is Rs. 103.5.
However, he is selling only 0.75 kg of items for Rs. 103.5 (due to the faulty balance). So, the effective cost price for this 0.75 kg is 0.75 × Rs. 100 = Rs. 75.
Therefore, his profit for 0.75 kg of items is Rs. 103.5 – Rs. 75 = Rs. 28.5.
The profit percentage = $\frac{\text{Profit}}{ \text{Cost price}}$ × 100 = $\frac{\text{28.5}}{ \text{75}}$ × 100 = 38%.
Hence, the correct answer is 38%.
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