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Fake Weights

Rarely Tested

A dishonest dealer claims to sell his goods at cost price, but he uses a weight of lesser weight, then the gain% $$=\ \ \frac{\text{True Weight} - \text{False Weight}}{\text{False Weight}} \times 100\%$$

A dishonest dealer sells an item at a profit of x % and uses a weight that is y % less, then the gain%  $$=\ \frac{\%\ \text{Profit} + \%\ \text{Less in Weight}}{100 - \%\ \text{Less in Weight}} \times 100\%$$

Formula Video


Question 1

A merchant purchases a cloth at a rate of Rs.100 per meter and receives 5 cm length of cloth free for every 100 cm length of cloth purchased by him. He sells the same cloth at a rate of Rs.110 per meter but cheats his customers by giving 95 cm length of cloth for every 100 cm length of cloth purchased by the customers. If the merchant provides a 5% discount, the resulting profit earned by him is

Question 2

A trader sells oil at a loss of 1% but weighs 900 grams in place of a kg. What is his net loss/gain?

Question 3

A cunning shopkeeper buys 110 cm cloth using a faulty meter scale and sells 90 cm cloth using another faulty meter scale. If he sells the cloth at a 10% discount to the cost price, what is his overall profit percentage?

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