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A diamond weighing 35 grams cost Rs. 12,250 is cut down into two pieces having weights in the ratio of 5 ∶ 2. If the price directly proportional to the square of the weight then find the loss incurred.
- a)Rs. 5000
- b)Rs. 6000
- c)Rs. 5500
- d)Rs. 5700
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A diamond weighing 35 grams cost Rs. 12,250 is cut down into two piece...
Given:
New ratio is 5 ∶ 2.
The price of diamond before broken is Rs. 12250.
Concept used:
Using the concept simple ratio.
Calculation:
Let the weight of each piece of diamond be 5x and 2x.
Total weight of diamond = 5x + 2x = 7x
Cost of the diamond = (7x)2 = 49x2
Cost of first piece = (5x)2 = 25x2
Cost of second piece = (2x)2 = 4x2
Total cost of diamond after weight = 25x2 + 4x2 = 29x2
⇒ New cost = 29x2
According to the question,
49x2 = 12250
⇒ x2 = 250
The loss in the price of diamond after broken = 49x2 – 29x2
⇒ The required loss = 20x2
⇒ 250 × 20
⇒ Rs. 5000
∴ The loss in the price of diamond after broken is Rs. 5000.
Most Upvoted Answer
A diamond weighing 35 grams cost Rs. 12,250 is cut down into two piece...
Given:
New ratio is 5 ∶ 2.
The price of diamond before broken is Rs. 12250.
Concept used:
Using the concept simple ratio.
Calculation:
Let the weight of each piece of diamond be 5x and 2x.
Total weight of diamond = 5x + 2x = 7x
Cost of the diamond = (7x)2 = 49x2
Cost of first piece = (5x)2 = 25x2
Cost of second piece = (2x)2 = 4x2
Total cost of diamond after weight = 25x2 + 4x2 = 29x2
⇒ New cost = 29x2
According to the question,
49x2 = 12250
⇒ x2 = 250
The loss in the price of diamond after broken = 49x2 – 29x2
⇒ The required loss = 20x2
⇒ 250 × 20
⇒ Rs. 5000
∴ The loss in the price of diamond after broken is Rs. 5000.
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Community Answer
A diamond weighing 35 grams cost Rs. 12,250 is cut down into two piece...
Given:
New ratio is 5 ∶ 2.
The price of diamond before broken is Rs. 12250.
Concept used:
Using the concept simple ratio.
Calculation:
Let the weight of each piece of diamond be 5x and 2x.
Total weight of diamond = 5x + 2x = 7x
Cost of the diamond = (7x)2 = 49x2
Cost of first piece = (5x)2 = 25x2
Cost of second piece = (2x)2 = 4x2
Total cost of diamond after weight = 25x2 + 4x2 = 29x2
⇒ New cost = 29x2
According to the question,
49x2 = 12250
⇒ x2 = 250
The loss in the price of diamond after broken = 49x2 – 29x2
⇒ The required loss = 20x2
⇒ 250 × 20
⇒ Rs. 5000
∴ The loss in the price of diamond after broken is Rs. 5000.
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A diamond weighing 35 grams cost Rs. 12,250 is cut down into two pieces having weights in the ratio of 5 2. If the price directly proportional to the square of the weight then find the loss incurred.a)Rs. 5000b)Rs. 6000c)Rs. 5500d)Rs. 5700Correct answer is option 'A'. Can you explain this answer?
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A diamond weighing 35 grams cost Rs. 12,250 is cut down into two pieces having weights in the ratio of 5 2. If the price directly proportional to the square of the weight then find the loss incurred.a)Rs. 5000b)Rs. 6000c)Rs. 5500d)Rs. 5700Correct answer is option 'A'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about A diamond weighing 35 grams cost Rs. 12,250 is cut down into two pieces having weights in the ratio of 5 2. If the price directly proportional to the square of the weight then find the loss incurred.a)Rs. 5000b)Rs. 6000c)Rs. 5500d)Rs. 5700Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A diamond weighing 35 grams cost Rs. 12,250 is cut down into two pieces having weights in the ratio of 5 2. If the price directly proportional to the square of the weight then find the loss incurred.a)Rs. 5000b)Rs. 6000c)Rs. 5500d)Rs. 5700Correct answer is option 'A'. Can you explain this answer?.
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