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

Question 2

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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Fake Weights

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question from CAT exam over the past 5 years

Formulas Asked Together in Previous Papers


SP - CP - Discount - Marked Price

1 PYQ

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