CA Foundation Exam > CA Foundation Questions > If 2s: 3t is the duplicate ratio of 2s - p: 3...
Start Learning for Free
If 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these?
Most Upvoted Answer
If 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (...
**Given:**
Ratio of 2s: 3t = Ratio of (2s - p): (3t - p)
**Assume:**
Let's assume that p = 6st.
**Proof:**
To prove that p = 6st, we will substitute the given values in the equation and check if both sides are equal.
Ratio of 2s: 3t = Ratio of (2s - p): (3t - p)
Substituting the value of p = 6st:
Ratio of 2s: 3t = Ratio of (2s - 6st): (3t - 6st)
Simplifying the equation:
Ratio of 2s: 3t = Ratio of 2s - 6st: 3t - 6st
Multiplying both sides by (3t - 6st) to eliminate the ratio:
(2s)(3t - 6st) = (2s - 6st)(3t)
Expanding the equation:
6st - 12s^2t = 6st - 18s^2t
Simplifying the equation:
-12s^2t = -18s^2t
Dividing both sides by -6s^2t:
2 = 3
Since the equation is not true, we can conclude that our assumption p = 6st is incorrect.
**Conclusion:**
Therefore, the correct answer is (d) none of these, as none of the options provided in the question can be proven to be true.
Ratio of 2s: 3t = Ratio of (2s - p): (3t - p)
**Assume:**
Let's assume that p = 6st.
**Proof:**
To prove that p = 6st, we will substitute the given values in the equation and check if both sides are equal.
Ratio of 2s: 3t = Ratio of (2s - p): (3t - p)
Substituting the value of p = 6st:
Ratio of 2s: 3t = Ratio of (2s - 6st): (3t - 6st)
Simplifying the equation:
Ratio of 2s: 3t = Ratio of 2s - 6st: 3t - 6st
Multiplying both sides by (3t - 6st) to eliminate the ratio:
(2s)(3t - 6st) = (2s - 6st)(3t)
Expanding the equation:
6st - 12s^2t = 6st - 18s^2t
Simplifying the equation:
-12s^2t = -18s^2t
Dividing both sides by -6s^2t:
2 = 3
Since the equation is not true, we can conclude that our assumption p = 6st is incorrect.
**Conclusion:**
Therefore, the correct answer is (d) none of these, as none of the options provided in the question can be proven to be true.
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 (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these?
Question Description
If 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these? 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 (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these? 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 (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these?.
If 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these? 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 (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these? 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 (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these?.
Solutions for If 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these? 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 (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these? 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) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these?, a detailed solution for If 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these? has been provided alongside types of If 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these? theory, EduRev gives you an
ample number of questions to practice If 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these? 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