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The price of a jewel varies as the square of its weight. Two jewels A and B whose weights are in the ratio of 3 and 5 are combined and made a new jewel C. What is the ratio of price of C to the combined price of A and B?
- a)17 : 32
- b)32 : 17
- c)64 : 25
- d)9 : 25
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The price of a jewel varies as the square of its weight. Two jewels A ...
Suppose the weight of the jewel is W and its price is P then according to the question
P ∝ W2,
⇒ P = kW2 where K is the constant.
The ratio between the weights of A and B is 3 : 5. So let’s assume the weight of A is 3x and weight of B is 5x.
So, Price of A = k(3x)2 = 9kx2
And price of B = k(5x)2 = 25kx2
Now, weight of C = weight of A + weight of B = 3x + 5x = 8x
So, price of C = k(8x)2 = 64kx2
Combined price of A and B = 9kx2 + 25kx2 = 34kx2
So the required ratio = 64kx2 : 34kx2 = 32 : 17.
P ∝ W2,
⇒ P = kW2 where K is the constant.
The ratio between the weights of A and B is 3 : 5. So let’s assume the weight of A is 3x and weight of B is 5x.
So, Price of A = k(3x)2 = 9kx2
And price of B = k(5x)2 = 25kx2
Now, weight of C = weight of A + weight of B = 3x + 5x = 8x
So, price of C = k(8x)2 = 64kx2
Combined price of A and B = 9kx2 + 25kx2 = 34kx2
So the required ratio = 64kx2 : 34kx2 = 32 : 17.
Most Upvoted Answer
The price of a jewel varies as the square of its weight. Two jewels A ...
Given:
- The price of a jewel varies as the square of its weight.
- The weights of jewels A and B are in the ratio of 3:5.
To find:
- The ratio of the price of jewel C to the combined price of jewels A and B.
Solution:
Let's assume the weight of jewel A as 3x (since the ratio of weights of A and B is 3:5) and the weight of jewel B as 5x.
Calculating the prices:
- The price of jewel A = (weight of A)^2 = (3x)^2 = 9x^2
- The price of jewel B = (weight of B)^2 = (5x)^2 = 25x^2
- The combined price of jewels A and B = 9x^2 + 25x^2 = 34x^2
Now, let's find the weight of jewel C.
- Jewel C is made by combining jewels A and B, so its weight is the sum of the weights of A and B.
- Weight of C = weight of A + weight of B = 3x + 5x = 8x
Now, let's calculate the price of jewel C using the given information that the price varies as the square of the weight.
- The price of jewel C = (weight of C)^2 = (8x)^2 = 64x^2
Calculating the ratio:
- The ratio of the price of C to the combined price of A and B = (price of C) / (combined price of A and B)
- Ratio = (64x^2) / (34x^2)
- Simplifying, Ratio = 64/34 = 32/17
Therefore, the ratio of the price of jewel C to the combined price of jewels A and B is 32:17, which is option B.
- The price of a jewel varies as the square of its weight.
- The weights of jewels A and B are in the ratio of 3:5.
To find:
- The ratio of the price of jewel C to the combined price of jewels A and B.
Solution:
Let's assume the weight of jewel A as 3x (since the ratio of weights of A and B is 3:5) and the weight of jewel B as 5x.
Calculating the prices:
- The price of jewel A = (weight of A)^2 = (3x)^2 = 9x^2
- The price of jewel B = (weight of B)^2 = (5x)^2 = 25x^2
- The combined price of jewels A and B = 9x^2 + 25x^2 = 34x^2
Now, let's find the weight of jewel C.
- Jewel C is made by combining jewels A and B, so its weight is the sum of the weights of A and B.
- Weight of C = weight of A + weight of B = 3x + 5x = 8x
Now, let's calculate the price of jewel C using the given information that the price varies as the square of the weight.
- The price of jewel C = (weight of C)^2 = (8x)^2 = 64x^2
Calculating the ratio:
- The ratio of the price of C to the combined price of A and B = (price of C) / (combined price of A and B)
- Ratio = (64x^2) / (34x^2)
- Simplifying, Ratio = 64/34 = 32/17
Therefore, the ratio of the price of jewel C to the combined price of jewels A and B is 32:17, which is option B.
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The price of a jewel varies as the square of its weight. Two jewels A and B whose weights are in the ratio of 3 and 5 are combined and made a new jewel C. What is the ratio of price of C to the combined price of A and B?a)17 : 32b)32 : 17c)64 : 25d)9 : 25Correct answer is option 'B'. Can you explain this answer?
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The price of a jewel varies as the square of its weight. Two jewels A and B whose weights are in the ratio of 3 and 5 are combined and made a new jewel C. What is the ratio of price of C to the combined price of A and B?a)17 : 32b)32 : 17c)64 : 25d)9 : 25Correct answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The price of a jewel varies as the square of its weight. Two jewels A and B whose weights are in the ratio of 3 and 5 are combined and made a new jewel C. What is the ratio of price of C to the combined price of A and B?a)17 : 32b)32 : 17c)64 : 25d)9 : 25Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The price of a jewel varies as the square of its weight. Two jewels A and B whose weights are in the ratio of 3 and 5 are combined and made a new jewel C. What is the ratio of price of C to the combined price of A and B?a)17 : 32b)32 : 17c)64 : 25d)9 : 25Correct answer is option 'B'. Can you explain this answer?.
The price of a jewel varies as the square of its weight. Two jewels A and B whose weights are in the ratio of 3 and 5 are combined and made a new jewel C. What is the ratio of price of C to the combined price of A and B?a)17 : 32b)32 : 17c)64 : 25d)9 : 25Correct answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The price of a jewel varies as the square of its weight. Two jewels A and B whose weights are in the ratio of 3 and 5 are combined and made a new jewel C. What is the ratio of price of C to the combined price of A and B?a)17 : 32b)32 : 17c)64 : 25d)9 : 25Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The price of a jewel varies as the square of its weight. Two jewels A and B whose weights are in the ratio of 3 and 5 are combined and made a new jewel C. What is the ratio of price of C to the combined price of A and B?a)17 : 32b)32 : 17c)64 : 25d)9 : 25Correct answer is option 'B'. Can you explain this answer?.
Solutions for The price of a jewel varies as the square of its weight. Two jewels A and B whose weights are in the ratio of 3 and 5 are combined and made a new jewel C. What is the ratio of price of C to the combined price of A and B?a)17 : 32b)32 : 17c)64 : 25d)9 : 25Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
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