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Q. A dishonest shopkeeper has two weighing stones one is heavier and the other is lighter, for his weight balance. While purchasing 10kg of goods, he puts the heavier stone on one side and the goods on the other. While selling 10kg of goods, he puts the lighter stone on one side and the goods on the other. If he decides to sell his goods at 30% above the cost price and gets an overall gain of 55.55%, then find the value by which one side of the balance is heavier than the other (in grams).?
Most Upvoted Answer
Q. A dishonest shopkeeper has two weighing stones one is heavier and t...
Analysis:
To solve this problem, we need to understand how the dishonest shopkeeper manipulates the weighing stones to deceive his customers and make a profit.

Given Information:
- Shopkeeper uses a heavier stone while purchasing goods and a lighter stone while selling goods.
- Shopkeeper sells goods at 30% above the cost price.
- Shopkeeper gains 55.55% overall.

Solution:
1. Let's assume the cost price of 10kg of goods is Rs.100.
2. Selling price after a 30% markup = Rs.100 + 30% of Rs.100 = Rs.130.
3. Overall gain = Selling price - Cost price = Rs.130 - Rs.100 = Rs.30.
4. Gain percentage = (Overall gain / Cost price) * 100 = (Rs.30 / Rs.100) * 100 = 30%.
5. As the shopkeeper gains 55.55%, the weight difference between the stones must be 55.55% of the total weight of goods (10kg).

Calculations:
- Weight of goods = 10kg = 10,000 grams.
- Weight difference = 55.55% of 10,000 grams = 5,555 grams.

Answer:
The value by which one side of the balance is heavier than the other is 5,555 grams. This weight difference allows the shopkeeper to deceive customers and make a profit by manipulating the weighing stones.
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Q. A dishonest shopkeeper has two weighing stones one is heavier and the other is lighter, for his weight balance. While purchasing 10kg of goods, he puts the heavier stone on one side and the goods on the other. While selling 10kg of goods, he puts the lighter stone on one side and the goods on the other. If he decides to sell his goods at 30% above the cost price and gets an overall gain of 55.55%, then find the value by which one side of the balance is heavier than the other (in grams).?
Question Description
Q. A dishonest shopkeeper has two weighing stones one is heavier and the other is lighter, for his weight balance. While purchasing 10kg of goods, he puts the heavier stone on one side and the goods on the other. While selling 10kg of goods, he puts the lighter stone on one side and the goods on the other. If he decides to sell his goods at 30% above the cost price and gets an overall gain of 55.55%, then find the value by which one side of the balance is heavier than the other (in grams).? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Q. A dishonest shopkeeper has two weighing stones one is heavier and the other is lighter, for his weight balance. While purchasing 10kg of goods, he puts the heavier stone on one side and the goods on the other. While selling 10kg of goods, he puts the lighter stone on one side and the goods on the other. If he decides to sell his goods at 30% above the cost price and gets an overall gain of 55.55%, then find the value by which one side of the balance is heavier than the other (in grams).? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q. A dishonest shopkeeper has two weighing stones one is heavier and the other is lighter, for his weight balance. While purchasing 10kg of goods, he puts the heavier stone on one side and the goods on the other. While selling 10kg of goods, he puts the lighter stone on one side and the goods on the other. If he decides to sell his goods at 30% above the cost price and gets an overall gain of 55.55%, then find the value by which one side of the balance is heavier than the other (in grams).?.
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