CA Foundation Exam > CA Foundation Questions > 21. If 2s : 3t is the duplicate ratio of 2s –...
Start Learning for Free
21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 = 6st (b) p = 6st (c) 2p = 3st (d) none of these 22. If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px 3qy : 10px 4qy is (a) 71 : 82 (b) 27 : 28 (c) 17 : 28 (d) none of these?
Verified Answer
21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 =...
21.
22. p:q=2:3
22. p:q=2:3
let p=2k then q=3k
x:y=4:5
lt x=4u then y= 5u
5px + 3qy=5 (2k)(4u)+3(3k)(5u)=85ku
10px+4qy=10(2k)(4u)+ 4(3k)(5u)=140ku
hence 5px + 3qy:10px + 4qy = 85ku/140ku = 17/28
This question is part of UPSC exam. View all CA Foundation courses
Most Upvoted Answer
21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 =...
21. Duplicate Ratio
To solve this problem, we need to find the value of p in terms of s and t.
Given:
Duplicate Ratio = 2s : 3t
Duplicate Ratio of (2s - p) : (3t - p)
Let's find the ratio of (2s - p) : (3t - p) by substituting the values from the duplicate ratio.
(2s - p) : (3t - p) = (2s : 3t) = (2s/3t)
Now, let's solve for p.
Cross-multiplying, we have:
(2s - p)(3t - p) = (2s)(3t)
6st - 2sp - 3tp + p^2 = 6st
Rearranging the equation, we get:
p^2 - 2sp - 3tp + 6st = 0
Factoring the equation, we have:
(p - 3t)(p - 2s) = 0
Setting each factor equal to zero, we get:
p - 3t = 0 or p - 2s = 0
p = 3t or p = 2s
Therefore, the value of p in terms of s and t is p = 3t or p = 2s.
None of the given options (a), (b), (c) matches the value of p.
So, the correct answer is (d) none of these.
22. Value of 5px 3qy : 10px 4qy
To solve this problem, we need to simplify the given expression.
Given:
p : q = 2 : 3
x : y = 4 : 5
Let's substitute the values of p, q, x, and y in the expression 5px 3qy : 10px 4qy.
5px 3qy : 10px 4qy = (5p)(x)(3q)(y) : (10p)(x)(4q)(y)
Canceling out common factors, we have:
5px 3qy : 10px 4qy = 15pxyq : 40pxyq
Now, let's simplify the expression further by canceling out common factors.
15pxyq : 40pxyq = (15p)(xy)(q) : (40p)(xy)(q)
Canceling out common factors, we have:
15p : 40p = 15 : 40
Simplifying the ratio, we get:
15 : 40 = 3 : 8
Therefore, the value of 5px 3qy : 10px 4qy is 3 : 8.
So, the correct answer is (d) none of these.
To solve this problem, we need to find the value of p in terms of s and t.
Given:
Duplicate Ratio = 2s : 3t
Duplicate Ratio of (2s - p) : (3t - p)
Let's find the ratio of (2s - p) : (3t - p) by substituting the values from the duplicate ratio.
(2s - p) : (3t - p) = (2s : 3t) = (2s/3t)
Now, let's solve for p.
Cross-multiplying, we have:
(2s - p)(3t - p) = (2s)(3t)
6st - 2sp - 3tp + p^2 = 6st
Rearranging the equation, we get:
p^2 - 2sp - 3tp + 6st = 0
Factoring the equation, we have:
(p - 3t)(p - 2s) = 0
Setting each factor equal to zero, we get:
p - 3t = 0 or p - 2s = 0
p = 3t or p = 2s
Therefore, the value of p in terms of s and t is p = 3t or p = 2s.
None of the given options (a), (b), (c) matches the value of p.
So, the correct answer is (d) none of these.
22. Value of 5px 3qy : 10px 4qy
To solve this problem, we need to simplify the given expression.
Given:
p : q = 2 : 3
x : y = 4 : 5
Let's substitute the values of p, q, x, and y in the expression 5px 3qy : 10px 4qy.
5px 3qy : 10px 4qy = (5p)(x)(3q)(y) : (10p)(x)(4q)(y)
Canceling out common factors, we have:
5px 3qy : 10px 4qy = 15pxyq : 40pxyq
Now, let's simplify the expression further by canceling out common factors.
15pxyq : 40pxyq = (15p)(xy)(q) : (40p)(xy)(q)
Canceling out common factors, we have:
15p : 40p = 15 : 40
Simplifying the ratio, we get:
15 : 40 = 3 : 8
Therefore, the value of 5px 3qy : 10px 4qy is 3 : 8.
So, the correct answer is (d) none of these.
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
21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 = 6st (b) p = 6st (c) 2p = 3st (d) none of these 22. If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px 3qy : 10px 4qy is (a) 71 : 82 (b) 27 : 28 (c) 17 : 28 (d) none of these?
Question Description
21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 = 6st (b) p = 6st (c) 2p = 3st (d) none of these 22. If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px 3qy : 10px 4qy is (a) 71 : 82 (b) 27 : 28 (c) 17 : 28 (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 21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 = 6st (b) p = 6st (c) 2p = 3st (d) none of these 22. If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px 3qy : 10px 4qy is (a) 71 : 82 (b) 27 : 28 (c) 17 : 28 (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 = 6st (b) p = 6st (c) 2p = 3st (d) none of these 22. If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px 3qy : 10px 4qy is (a) 71 : 82 (b) 27 : 28 (c) 17 : 28 (d) none of these?.
21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 = 6st (b) p = 6st (c) 2p = 3st (d) none of these 22. If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px 3qy : 10px 4qy is (a) 71 : 82 (b) 27 : 28 (c) 17 : 28 (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 21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 = 6st (b) p = 6st (c) 2p = 3st (d) none of these 22. If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px 3qy : 10px 4qy is (a) 71 : 82 (b) 27 : 28 (c) 17 : 28 (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 = 6st (b) p = 6st (c) 2p = 3st (d) none of these 22. If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px 3qy : 10px 4qy is (a) 71 : 82 (b) 27 : 28 (c) 17 : 28 (d) none of these?.
Solutions for 21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 = 6st (b) p = 6st (c) 2p = 3st (d) none of these 22. If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px 3qy : 10px 4qy is (a) 71 : 82 (b) 27 : 28 (c) 17 : 28 (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 21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 = 6st (b) p = 6st (c) 2p = 3st (d) none of these 22. If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px 3qy : 10px 4qy is (a) 71 : 82 (b) 27 : 28 (c) 17 : 28 (d) none of these? defined & explained in the simplest way possible. Besides giving the explanation of
21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 = 6st (b) p = 6st (c) 2p = 3st (d) none of these 22. If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px 3qy : 10px 4qy is (a) 71 : 82 (b) 27 : 28 (c) 17 : 28 (d) none of these?, a detailed solution for 21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 = 6st (b) p = 6st (c) 2p = 3st (d) none of these 22. If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px 3qy : 10px 4qy is (a) 71 : 82 (b) 27 : 28 (c) 17 : 28 (d) none of these? has been provided alongside types of 21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 = 6st (b) p = 6st (c) 2p = 3st (d) none of these 22. If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px 3qy : 10px 4qy is (a) 71 : 82 (b) 27 : 28 (c) 17 : 28 (d) none of these? theory, EduRev gives you an
ample number of questions to practice 21. If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then (a) p2 = 6st (b) p = 6st (c) 2p = 3st (d) none of these 22. If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px 3qy : 10px 4qy is (a) 71 : 82 (b) 27 : 28 (c) 17 : 28 (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
|
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