Multiple choice

A dishonest trader claims to sell goods at cost price but uses a faulty weight. If he gains 20% by using false weights and also gives a 5% discount on the marked price, what weight (in kg) does he actually use instead of 1 kg?

  1. 850 g

  2. 792 g

  3. 800 g

  4. 899 g
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost price of 1 kg of goods be 1000 units. Since he offers a 5% discount on this claimed cost price, his selling price is 950 units. To make a 20% profit on his actual cost, the cost of the weight he actually delivers must satisfy 1.2 * actual weight = 950. Solving this gives an actual weight of approximately 791.67 g, which rounds to 792 g.

AI explanation

Let the cost price be Rs. 100 per 1000 grams, making the marked price for 1 kg Rs. 100 to reflect no profit at the marked rate. After a 5% discount on the marked price, the selling price for the transaction becomes Rs. 95, yet this must yield a 20% profit, meaning the true cost of the goods sold should be Rs. 95 divided by 1.2, which is approximately Rs. 79.16. Therefore, to have a cost of Rs. 79.16, the weight used must be 792 grams.

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