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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?
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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
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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.
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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?
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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.
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