Question : A dishonest shopkeeper pretends to sell his goods at a cost price but uses false weights and gains 10%. How much false weight he is using instead of 1 kg weight?
Option 1: 909.09 g
Option 2: 900 g
Option 3: 920.30 g
Option 4: 911.12 g
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Correct Answer: 909.09 g
Solution : Let the false weight as $x$ kg. The shopkeeper is gaining 10% by using this false weight, which means that when he claims to sell 1 kg of goods, he is only giving away $x$ kg. The cost price of $x$ kg of goods is being sold as the cost price of 1 kg of goods, which is a 10% gain. Let the cost price of 1 kg be Re. 1. $\frac{\text{1} }{{\text{Cost price of } x \text{ kg}}} = 1 + \frac{{10}}{{100}}$ ⇒ $x = \frac{{1}}{{1.1}} = 0.90909 \text{ kg}= 909.09 \text{ g}$ Hence, the correct answer is 909.09 g
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Question : A dishonest shopkeeper sells sugar at a rate of INR 45 per kg. The cost price of the sugar is INR 40 per kg. Even after doing this, he tries to increase his profit by removing 100 g from each packet of 1 kg. What is the gain percentage of the shopkeeper?
Option 1: 30%
Option 2: 35%
Option 3: 20%
Option 4: 25%
Question : A shopkeeper allows a discount of 20% on the marked price and still gains 12% on the whole. Find at what percentage above the cost price he marks his goods.
Option 2: 10%
Option 3: 40%
Option 4: 20%
Question : After allowing a discount of 12% on the marked price a shopkeeper still gains 21%. The marked price is above the cost price by:
Option 1: 25%
Option 2: 30%
Option 3: 37.5%
Option 4: 42.5%
Question : The average weight of A, B, and C is 40 kg. If the average weight of A and B is 35 kg and that of B and C is 31 kg, then what is the weight of B?
Option 1: 12 kg
Option 2: 50 kg
Option 3: 24 kg
Option 4: 36 kg
Question : The average weight of 25 students in a class is 50 kg. If the weight of the class teacher is included, the average is increased by 1 kg. The weight of the teacher is:
Option 1: 76 kg
Option 2: 77 kg
Option 3: 74 kg
Option 4: 75 kg
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