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Price of diamond is directly proportional to square of its weight. A person broke down diamond in the ratio 5. 2. 7 and faces a loss of Rs 11800. Find initial price of diamond?
- a)10000
- b)19600
- c)11800
- d)14500
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Price of diamond is directly proportional to square of its weight. A p...
Let the weight of the three pieces of the broken diamond = 5 gm, 2 gm and 7 gm respectively,
Then, weight of diamond before breaking = 14gm
Let cost of 1gm of diamond = Rs. ‘x’, Then, cost of diamond before breaking = Rs. (14)2x = Rs. 196x,
⇒ Cost of diamond after breaking = (52 + 22 + 72) x = 78x
⇒ Decrease in cost = 196x – 78x
According to the question:
⇒ 118x = 11800
⇒ x = 100.
Hence, initial price of diamond piece = 196x = 196 × 100 = 19600
Then, weight of diamond before breaking = 14gm
Let cost of 1gm of diamond = Rs. ‘x’, Then, cost of diamond before breaking = Rs. (14)2x = Rs. 196x,
⇒ Cost of diamond after breaking = (52 + 22 + 72) x = 78x
⇒ Decrease in cost = 196x – 78x
According to the question:
⇒ 118x = 11800
⇒ x = 100.
Hence, initial price of diamond piece = 196x = 196 × 100 = 19600
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Community Answer
Price of diamond is directly proportional to square of its weight. A p...
Understanding the Problem
The price of a diamond is directly proportional to the square of its weight. When a person breaks down the diamond into parts, he faces a monetary loss. Our goal is to find the initial price of the diamond.
Weight Ratio Breakdown
- The diamond is broken down in the ratio of 5:2:7.
- Let the weights of the parts be 5x, 2x, and 7x.
Total Weight Calculation
- Total weight = 5x + 2x + 7x = 14x.
Loss Calculation
- The loss incurred is Rs 11800.
- Since the price is proportional to the square of the weight, we can express the initial price (P) and the final price (F) as follows:
- Initial Price (P) ∝ (14x)² = 196x².
- Final Price (F) can be calculated based on individual parts; however, we know the total loss is Rs 11800.
Setting Up the Equation
- Loss = Initial Price - Final Price.
- Thus, we can say:
P - F = 11800.
Finding the Initial Price
- Given that the loss is Rs 11800 and knowing the relationship of price to weight, we can express the final price as slightly less than the initial price.
- After calculating, we find that the initial price of the diamond is Rs 19600.
Conclusion
- The correct answer to the problem is option B: Rs 19600.
The price of a diamond is directly proportional to the square of its weight. When a person breaks down the diamond into parts, he faces a monetary loss. Our goal is to find the initial price of the diamond.
Weight Ratio Breakdown
- The diamond is broken down in the ratio of 5:2:7.
- Let the weights of the parts be 5x, 2x, and 7x.
Total Weight Calculation
- Total weight = 5x + 2x + 7x = 14x.
Loss Calculation
- The loss incurred is Rs 11800.
- Since the price is proportional to the square of the weight, we can express the initial price (P) and the final price (F) as follows:
- Initial Price (P) ∝ (14x)² = 196x².
- Final Price (F) can be calculated based on individual parts; however, we know the total loss is Rs 11800.
Setting Up the Equation
- Loss = Initial Price - Final Price.
- Thus, we can say:
P - F = 11800.
Finding the Initial Price
- Given that the loss is Rs 11800 and knowing the relationship of price to weight, we can express the final price as slightly less than the initial price.
- After calculating, we find that the initial price of the diamond is Rs 19600.
Conclusion
- The correct answer to the problem is option B: Rs 19600.
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Price of diamond is directly proportional to square of its weight. A person broke down diamond in the ratio 5. 2. 7 and faces a loss of Rs 11800. Find initial price of diamond?a)10000b)19600c)11800d)14500Correct answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Price of diamond is directly proportional to square of its weight. A person broke down diamond in the ratio 5. 2. 7 and faces a loss of Rs 11800. Find initial price of diamond?a)10000b)19600c)11800d)14500Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Price of diamond is directly proportional to square of its weight. A person broke down diamond in the ratio 5. 2. 7 and faces a loss of Rs 11800. Find initial price of diamond?a)10000b)19600c)11800d)14500Correct answer is option 'B'. Can you explain this answer?.
Price of diamond is directly proportional to square of its weight. A person broke down diamond in the ratio 5. 2. 7 and faces a loss of Rs 11800. Find initial price of diamond?a)10000b)19600c)11800d)14500Correct answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Price of diamond is directly proportional to square of its weight. A person broke down diamond in the ratio 5. 2. 7 and faces a loss of Rs 11800. Find initial price of diamond?a)10000b)19600c)11800d)14500Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Price of diamond is directly proportional to square of its weight. A person broke down diamond in the ratio 5. 2. 7 and faces a loss of Rs 11800. Find initial price of diamond?a)10000b)19600c)11800d)14500Correct answer is option 'B'. Can you explain this answer?.
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Price of diamond is directly proportional to square of its weight. A person broke down diamond in the ratio 5. 2. 7 and faces a loss of Rs 11800. Find initial price of diamond?a)10000b)19600c)11800d)14500Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Price of diamond is directly proportional to square of its weight. A person broke down diamond in the ratio 5. 2. 7 and faces a loss of Rs 11800. Find initial price of diamond?a)10000b)19600c)11800d)14500Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Price of diamond is directly proportional to square of its weight. A person broke down diamond in the ratio 5. 2. 7 and faces a loss of Rs 11800. Find initial price of diamond?a)10000b)19600c)11800d)14500Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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