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The cost of a diamond varies as the square of its weight. A diamond weighing 20 decigrams costs Rs. 4,800. Find the cost of a diamond of the same kind weighing 8 decigrams.
- a)Rs. 762
- b)Rs. 760
- c)Rs. 764
- d)Rs. 768
- e)Rs. 765
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The cost of a diamond varies as the square of its weight. A diamond we...
C α W2
⇒ C = kW2. 4800
= k(20)2
⇒ k = 12.
Now C = 12(8)2
⇒ C =768.
⇒ C = kW2. 4800
= k(20)2
⇒ k = 12.
Now C = 12(8)2
⇒ C =768.
Most Upvoted Answer
The cost of a diamond varies as the square of its weight. A diamond we...
Given:
- The cost of a diamond varies as the square of its weight.
- A diamond weighing 20 decigrams costs Rs. 4,800.
To find:
- The cost of a diamond of the same kind weighing 8 decigrams.
Solution:
We are given that the cost of a diamond varies as the square of its weight. Let's assume that the cost of the diamond is directly proportional to the square of its weight.
Let's represent the weight of the diamond as w and the cost of the diamond as c. According to the given information, we have the following equation:
c = kw^2
where k is a constant.
We are also given that a diamond weighing 20 decigrams costs Rs. 4,800. Substituting the values into the equation, we have:
4,800 = k(20)^2
4,800 = k(400)
k = 4,800/400
k = 12
Now we can use the value of k to find the cost of a diamond weighing 8 decigrams. Substituting the values into the equation, we have:
c = 12(8)^2
c = 12(64)
c = 768
Therefore, the cost of a diamond of the same kind weighing 8 decigrams is Rs. 768, which corresponds to option D.
- The cost of a diamond varies as the square of its weight.
- A diamond weighing 20 decigrams costs Rs. 4,800.
To find:
- The cost of a diamond of the same kind weighing 8 decigrams.
Solution:
We are given that the cost of a diamond varies as the square of its weight. Let's assume that the cost of the diamond is directly proportional to the square of its weight.
Let's represent the weight of the diamond as w and the cost of the diamond as c. According to the given information, we have the following equation:
c = kw^2
where k is a constant.
We are also given that a diamond weighing 20 decigrams costs Rs. 4,800. Substituting the values into the equation, we have:
4,800 = k(20)^2
4,800 = k(400)
k = 4,800/400
k = 12
Now we can use the value of k to find the cost of a diamond weighing 8 decigrams. Substituting the values into the equation, we have:
c = 12(8)^2
c = 12(64)
c = 768
Therefore, the cost of a diamond of the same kind weighing 8 decigrams is Rs. 768, which corresponds to option D.
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Community Answer
The cost of a diamond varies as the square of its weight. A diamond we...
C α W2
⇒ C = kW2. 4800
= k(20)2
⇒ k = 12.
Now C = 12(8)2
⇒ C =768.
⇒ C = kW2. 4800
= k(20)2
⇒ k = 12.
Now C = 12(8)2
⇒ C =768.
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Question Description
The cost of a diamond varies as the square of its weight. A diamond weighing 20 decigrams costs Rs. 4,800. Find the cost of a diamond of the same kind weighing 8 decigrams.a)Rs. 762b)Rs. 760c)Rs. 764d)Rs. 768e)Rs. 765Correct answer is option 'D'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about The cost of a diamond varies as the square of its weight. A diamond weighing 20 decigrams costs Rs. 4,800. Find the cost of a diamond of the same kind weighing 8 decigrams.a)Rs. 762b)Rs. 760c)Rs. 764d)Rs. 768e)Rs. 765Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of a diamond varies as the square of its weight. A diamond weighing 20 decigrams costs Rs. 4,800. Find the cost of a diamond of the same kind weighing 8 decigrams.a)Rs. 762b)Rs. 760c)Rs. 764d)Rs. 768e)Rs. 765Correct answer is option 'D'. Can you explain this answer?.
The cost of a diamond varies as the square of its weight. A diamond weighing 20 decigrams costs Rs. 4,800. Find the cost of a diamond of the same kind weighing 8 decigrams.a)Rs. 762b)Rs. 760c)Rs. 764d)Rs. 768e)Rs. 765Correct answer is option 'D'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about The cost of a diamond varies as the square of its weight. A diamond weighing 20 decigrams costs Rs. 4,800. Find the cost of a diamond of the same kind weighing 8 decigrams.a)Rs. 762b)Rs. 760c)Rs. 764d)Rs. 768e)Rs. 765Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of a diamond varies as the square of its weight. A diamond weighing 20 decigrams costs Rs. 4,800. Find the cost of a diamond of the same kind weighing 8 decigrams.a)Rs. 762b)Rs. 760c)Rs. 764d)Rs. 768e)Rs. 765Correct answer is option 'D'. Can you explain this answer?.
Solutions for The cost of a diamond varies as the square of its weight. A diamond weighing 20 decigrams costs Rs. 4,800. Find the cost of a diamond of the same kind weighing 8 decigrams.a)Rs. 762b)Rs. 760c)Rs. 764d)Rs. 768e)Rs. 765Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for UCAT.
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The cost of a diamond varies as the square of its weight. A diamond weighing 20 decigrams costs Rs. 4,800. Find the cost of a diamond of the same kind weighing 8 decigrams.a)Rs. 762b)Rs. 760c)Rs. 764d)Rs. 768e)Rs. 765Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The cost of a diamond varies as the square of its weight. A diamond weighing 20 decigrams costs Rs. 4,800. Find the cost of a diamond of the same kind weighing 8 decigrams.a)Rs. 762b)Rs. 760c)Rs. 764d)Rs. 768e)Rs. 765Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The cost of a diamond varies as the square of its weight. A diamond weighing 20 decigrams costs Rs. 4,800. Find the cost of a diamond of the same kind weighing 8 decigrams.a)Rs. 762b)Rs. 760c)Rs. 764d)Rs. 768e)Rs. 765Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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