CA Foundation Exam > CA Foundation Questions > If 2s: 3t is the duplicate ratio of 2s-p: 3t-...
Start Learning for Free
If 2s: 3t is the duplicate ratio of 2s-p: 3t-p then?
Most Upvoted Answer
If 2s: 3t is the duplicate ratio of 2s-p: 3t-p then?
Explanation of Duplicate Ratio
Firstly, let us understand what duplicate ratio means. Duplicate ratio is a ratio that is obtained by multiplying each term of the original ratio by the same number. For example, if the original ratio is a:b, then the duplicate ratio would be 2a:2b, or 3a:3b, or any other multiple of a and b.
Applying Duplicate Ratio in the Given Problem
Now, let's apply the concept of duplicate ratio in the given problem. We are given that:
2s:3t is the duplicate ratio of 2s-p:3t-p
This means that:
2s/3t = (2s-p)/(3t-p)
We can cross-multiply to get:
2s(3t-p) = 3t(2s-p)
Simplifying this equation, we get:
6st - 2sp = 6st - 3tp
Canceling out the common terms, we get:
-2sp = -3tp
Dividing both sides by -p, we get:
2s/3t = 3t/2s
Now, we can cross-multiply to get:
4s^2 = 9t^2
Taking the square root of both sides, we get:
2s/3t = 3t/2s = 3/2
Therefore, the duplicate ratio of 2s-p:3t-p is 3:2.
Conclusion
In conclusion, we can say that the duplicate ratio of 2s-p:3t-p is 3:2, which is obtained by dividing the terms 2s and 3t by the same number. This problem demonstrates the use of basic algebraic operations in solving ratio problems.
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
If 2s: 3t is the duplicate ratio of 2s-p: 3t-p then?
Question Description
If 2s: 3t is the duplicate ratio of 2s-p: 3t-p then? 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 If 2s: 3t is the duplicate ratio of 2s-p: 3t-p then? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2s: 3t is the duplicate ratio of 2s-p: 3t-p then?.
If 2s: 3t is the duplicate ratio of 2s-p: 3t-p then? 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 If 2s: 3t is the duplicate ratio of 2s-p: 3t-p then? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2s: 3t is the duplicate ratio of 2s-p: 3t-p then?.
Solutions for If 2s: 3t is the duplicate ratio of 2s-p: 3t-p then? 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 If 2s: 3t is the duplicate ratio of 2s-p: 3t-p then? defined & explained in the simplest way possible. Besides giving the explanation of
If 2s: 3t is the duplicate ratio of 2s-p: 3t-p then?, a detailed solution for If 2s: 3t is the duplicate ratio of 2s-p: 3t-p then? has been provided alongside types of If 2s: 3t is the duplicate ratio of 2s-p: 3t-p then? theory, EduRev gives you an
ample number of questions to practice If 2s: 3t is the duplicate ratio of 2s-p: 3t-p then? 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup