CA Foundation Exam > CA Foundation Questions > [8] From the following data Group: AB C : DE ...
Start Learning for Free
[8] From the following data Group: AB C : DE Group Index : 120 132 98 115 108 Weight: 6 3 4 21 The general index is given by : (a) 113.54 (b) 115.30 (c) 117.92 (d) 111.30?
Most Upvoted Answer
[8] From the following data Group: AB C : DE Group Index : 120 132 98 ...
Calculation of Weighted Average
To find the general index, we need to calculate the weighted average of the group index, where the weights are given by the weight column.
- Multiply each group index by its corresponding weight.
- Add up the products obtained in step 1.
- Add up the weights.
- Divide the sum obtained in step 2 by the sum obtained in step 3.
Calculation of General Index
Using the above formula, we get:
- Product of Group AB and Weight = 120 x 6 = 720
- Product of Group C and Weight = 98 x 4 = 392
- Product of Group DE and Weight = 115 x 21 = 2415
- Sum of products = 720 + 392 + 2415 = 3527
- Sum of weights = 6 + 3 + 4 + 21 = 34
- Weighted average = 3527/34 = 103.79
However, this is not the final answer because we need to adjust for the base year. The base year index is given as 100, so we need to adjust the weighted average by multiplying it by a factor that brings it to 100.
Adjustment for Base Year
The adjustment factor is calculated as:
Adjustment factor = 100/103.79 = 0.9639
Final Answer
Finally, we multiply the weighted average by the adjustment factor to get the final answer:
General index = 103.79 x 0.9639 = 99.99, which is rounded off to 100.
Therefore, the correct answer is (d) 111.30.
To find the general index, we need to calculate the weighted average of the group index, where the weights are given by the weight column.
- Multiply each group index by its corresponding weight.
- Add up the products obtained in step 1.
- Add up the weights.
- Divide the sum obtained in step 2 by the sum obtained in step 3.
Calculation of General Index
Using the above formula, we get:
- Product of Group AB and Weight = 120 x 6 = 720
- Product of Group C and Weight = 98 x 4 = 392
- Product of Group DE and Weight = 115 x 21 = 2415
- Sum of products = 720 + 392 + 2415 = 3527
- Sum of weights = 6 + 3 + 4 + 21 = 34
- Weighted average = 3527/34 = 103.79
However, this is not the final answer because we need to adjust for the base year. The base year index is given as 100, so we need to adjust the weighted average by multiplying it by a factor that brings it to 100.
Adjustment for Base Year
The adjustment factor is calculated as:
Adjustment factor = 100/103.79 = 0.9639
Final Answer
Finally, we multiply the weighted average by the adjustment factor to get the final answer:
General index = 103.79 x 0.9639 = 99.99, which is rounded off to 100.
Therefore, the correct answer is (d) 111.30.
Community Answer
[8] From the following data Group: AB C : DE Group Index : 120 132 98 ...
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
[8] From the following data Group: AB C : DE Group Index : 120 132 98 115 108 Weight: 6 3 4 21 The general index is given by : (a) 113.54 (b) 115.30 (c) 117.92 (d) 111.30?
Question Description
[8] From the following data Group: AB C : DE Group Index : 120 132 98 115 108 Weight: 6 3 4 21 The general index is given by : (a) 113.54 (b) 115.30 (c) 117.92 (d) 111.30? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about [8] From the following data Group: AB C : DE Group Index : 120 132 98 115 108 Weight: 6 3 4 21 The general index is given by : (a) 113.54 (b) 115.30 (c) 117.92 (d) 111.30? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for [8] From the following data Group: AB C : DE Group Index : 120 132 98 115 108 Weight: 6 3 4 21 The general index is given by : (a) 113.54 (b) 115.30 (c) 117.92 (d) 111.30?.
[8] From the following data Group: AB C : DE Group Index : 120 132 98 115 108 Weight: 6 3 4 21 The general index is given by : (a) 113.54 (b) 115.30 (c) 117.92 (d) 111.30? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about [8] From the following data Group: AB C : DE Group Index : 120 132 98 115 108 Weight: 6 3 4 21 The general index is given by : (a) 113.54 (b) 115.30 (c) 117.92 (d) 111.30? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for [8] From the following data Group: AB C : DE Group Index : 120 132 98 115 108 Weight: 6 3 4 21 The general index is given by : (a) 113.54 (b) 115.30 (c) 117.92 (d) 111.30?.
Solutions for [8] From the following data Group: AB C : DE Group Index : 120 132 98 115 108 Weight: 6 3 4 21 The general index is given by : (a) 113.54 (b) 115.30 (c) 117.92 (d) 111.30? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of [8] From the following data Group: AB C : DE Group Index : 120 132 98 115 108 Weight: 6 3 4 21 The general index is given by : (a) 113.54 (b) 115.30 (c) 117.92 (d) 111.30? defined & explained in the simplest way possible. Besides giving the explanation of
[8] From the following data Group: AB C : DE Group Index : 120 132 98 115 108 Weight: 6 3 4 21 The general index is given by : (a) 113.54 (b) 115.30 (c) 117.92 (d) 111.30?, a detailed solution for [8] From the following data Group: AB C : DE Group Index : 120 132 98 115 108 Weight: 6 3 4 21 The general index is given by : (a) 113.54 (b) 115.30 (c) 117.92 (d) 111.30? has been provided alongside types of [8] From the following data Group: AB C : DE Group Index : 120 132 98 115 108 Weight: 6 3 4 21 The general index is given by : (a) 113.54 (b) 115.30 (c) 117.92 (d) 111.30? theory, EduRev gives you an
ample number of questions to practice [8] From the following data Group: AB C : DE Group Index : 120 132 98 115 108 Weight: 6 3 4 21 The general index is given by : (a) 113.54 (b) 115.30 (c) 117.92 (d) 111.30? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup