A shopkeeper professes to sell the goods at cost price. He uses a false weight with the intention of selling an item at 33.33% profit. After selling the item, he realizes that the customer has paid 25% less than what he should have paid. Find the actual profit percentage made by the shopkeeper.
Explanation:
Let the shopkeeper bought goods worth Rs. 300.
To earn 33.33% profit his total selling price should be 300 + 1/3 × 300 = Rs. 400
But the customer paid 25% less than this.
∴ Amount received by the shopkeeper = 75% of 400 = Rs. 300.
∴ For shopkeeper total cost price = total selling price.
∴ Shopkeeper earns no profit no loss.
Hence, option (b).
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