CAT Exam > CAT Questions > A diamond weighing 35 grams cost Rs. 12250 is...
Start Learning for Free
A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces having weights in the ratio of 5:2. If the price is directly proportional to the square of the weight then find the loss incurred.
Correct answer is '5000'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces...
Given Information:
- Weight of the diamond = 35 grams
- Cost of the diamond = Rs. 12250
- Weight ratio of the two pieces = 5:2
Calculating the weights of the two pieces:
Let the weights of the two pieces be 5x and 2x respectively, where x is a constant.
According to the weight ratio, we have:
5x + 2x = 35
7x = 35
x = 5
Therefore, the weights of the two pieces are:
First piece = 5x = 5 * 5 = 25 grams
Second piece = 2x = 2 * 5 = 10 grams
Calculating the prices of the two pieces:
Since the price is directly proportional to the square of the weight, we can use the formula:
Price = k * (weight)^2
Let the constant of proportionality be k.
So, the prices of the two pieces can be calculated as:
Price of the first piece = k * (25)^2
Price of the second piece = k * (10)^2
Using the given information to calculate the constant of proportionality:
We know that the cost of the diamond is Rs. 12250.
Since the cost is directly proportional to the square of the weight, we can write:
12250 = k * (35)^2
12250 = k * 1225
k = 10
Calculating the prices of the two pieces:
Using the value of k, we can calculate the prices of the two pieces as follows:
Price of the first piece = 10 * (25)^2 = 6250
Price of the second piece = 10 * (10)^2 = 1000
Calculating the loss incurred:
The loss incurred can be calculated as the difference between the original price and the sum of the prices of the two pieces.
Loss incurred = 12250 - (6250 + 1000) = 5000
Therefore, the loss incurred is Rs. 5000.
- Weight of the diamond = 35 grams
- Cost of the diamond = Rs. 12250
- Weight ratio of the two pieces = 5:2
Calculating the weights of the two pieces:
Let the weights of the two pieces be 5x and 2x respectively, where x is a constant.
According to the weight ratio, we have:
5x + 2x = 35
7x = 35
x = 5
Therefore, the weights of the two pieces are:
First piece = 5x = 5 * 5 = 25 grams
Second piece = 2x = 2 * 5 = 10 grams
Calculating the prices of the two pieces:
Since the price is directly proportional to the square of the weight, we can use the formula:
Price = k * (weight)^2
Let the constant of proportionality be k.
So, the prices of the two pieces can be calculated as:
Price of the first piece = k * (25)^2
Price of the second piece = k * (10)^2
Using the given information to calculate the constant of proportionality:
We know that the cost of the diamond is Rs. 12250.
Since the cost is directly proportional to the square of the weight, we can write:
12250 = k * (35)^2
12250 = k * 1225
k = 10
Calculating the prices of the two pieces:
Using the value of k, we can calculate the prices of the two pieces as follows:
Price of the first piece = 10 * (25)^2 = 6250
Price of the second piece = 10 * (10)^2 = 1000
Calculating the loss incurred:
The loss incurred can be calculated as the difference between the original price and the sum of the prices of the two pieces.
Loss incurred = 12250 - (6250 + 1000) = 5000
Therefore, the loss incurred is Rs. 5000.
Free Test
FREE
| Start Free Test |
Community Answer
A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces...
Given
New ratio is 5:2.
The price of diamond before broken is Rs. 12250.
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.
Hence, the correct answer is Rs. 5000.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces having weights in the ratio of 5:2. If the price is directly proportional to the square of the weight then find the loss incurred.Correct answer is '5000'. Can you explain this answer?
Question Description
A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces having weights in the ratio of 5:2. If the price is directly proportional to the square of the weight then find the loss incurred.Correct answer is '5000'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces having weights in the ratio of 5:2. If the price is directly proportional to the square of the weight then find the loss incurred.Correct answer is '5000'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces having weights in the ratio of 5:2. If the price is directly proportional to the square of the weight then find the loss incurred.Correct answer is '5000'. Can you explain this answer?.
A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces having weights in the ratio of 5:2. If the price is directly proportional to the square of the weight then find the loss incurred.Correct answer is '5000'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces having weights in the ratio of 5:2. If the price is directly proportional to the square of the weight then find the loss incurred.Correct answer is '5000'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces having weights in the ratio of 5:2. If the price is directly proportional to the square of the weight then find the loss incurred.Correct answer is '5000'. Can you explain this answer?.
Solutions for A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces having weights in the ratio of 5:2. If the price is directly proportional to the square of the weight then find the loss incurred.Correct answer is '5000'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces having weights in the ratio of 5:2. If the price is directly proportional to the square of the weight then find the loss incurred.Correct answer is '5000'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces having weights in the ratio of 5:2. If the price is directly proportional to the square of the weight then find the loss incurred.Correct answer is '5000'. Can you explain this answer?, a detailed solution for A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces having weights in the ratio of 5:2. If the price is directly proportional to the square of the weight then find the loss incurred.Correct answer is '5000'. Can you explain this answer? has been provided alongside types of A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces having weights in the ratio of 5:2. If the price is directly proportional to the square of the weight then find the loss incurred.Correct answer is '5000'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A diamond weighing 35 grams cost Rs. 12250 is cut down into two pieces having weights in the ratio of 5:2. If the price is directly proportional to the square of the weight then find the loss incurred.Correct answer is '5000'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup