ratio and proportions
This query is : Resolved
03 July 2016
please try to solve it
Question: -If 2s:3t is the duplicate ratio of 2s-p:3t-p then __________
03 July 2016
please try to solve it
Question: -If 2s:3t is the duplicate ratio of 2s-p:3t-p then __________
a)p×p=6st
b)p=6st
c)2p=3st
d)none
Amol S Joglekar
(Expert)
04 July 2016
what do you mean by DUPLICAtE ratio? Can you please explain?
04 July 2016
Duplicate ratio means squaring it
For example: Duplicate ratio of a:b is a^2:b^2
Amol S Joglekar
(Expert)
05 July 2016
a) p x p = 6st is right / correct
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Amol S Joglekar
(Expert)
11 July 2016
why not? write the equation and solve it....and you will get the answer
2s/3t = square of [(2s-p)/(3t-p)]
=[(4s square - 4sp + p square) / (9t square - 6tp + p square)]
cross multiply and you will get the answer
2s/3t = square of [(2s-p)/(3t-p)]
=[(4s square - 4sp + p square) / (9t square - 6tp + p square)]
cross multiply and you will get the answer
13 July 2016
Thank you. But after cross multiplying and cancelling 12stp on both sides, we get 18st square +2sp square =12ts square+3tp square
Amol S Joglekar
(Expert)
13 July 2016
Oh!......still you dont get it....ok ok
changing the side of 12t*s square and 2 s*p square, what we get is
18s*t square-12 t*s square = 3t*p square -2 s*p square
taking (3t-2s) common, what we get is
6st(3t-2s) = p square(3t-2s)
Now solve the remaining by yourself and get back
changing the side of 12t*s square and 2 s*p square, what we get is
18s*t square-12 t*s square = 3t*p square -2 s*p square
taking (3t-2s) common, what we get is
6st(3t-2s) = p square(3t-2s)
Now solve the remaining by yourself and get back
16 July 2016
please try to solve it
If b is the mean proportional of a and c,then (a+b+c)(a-b+c)=
a)a×a+b×b-c×c
b)a×a-b×b+c×c
c)a×a+b×b+c×c
d)a×a-b×b-c×c
Amol S Joglekar
(Expert)
17 July 2016
b square = ac
Now solving (a+b+c) (a-b+c) = a square -ab+ac-ab-b square+bc+ac-bc+c square
= a square +2ac-b square+c square
replacing ac with b square
=a square + 2b square-b square + c square = a square+b square+c square
(By the way, please tell me your educational back ground, if you dont mind)
Now solving (a+b+c) (a-b+c) = a square -ab+ac-ab-b square+bc+ac-bc+c square
= a square +2ac-b square+c square
replacing ac with b square
=a square + 2b square-b square + c square = a square+b square+c square
(By the way, please tell me your educational back ground, if you dont mind)
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18 July 2016
Thank you. I am studying in inter 2nd year of master minds college and these questions are from our CPT books
18 July 2016
another question please
If a+b:b+c:c+a=6:7:8&a+b+c=14,then the value of c is
Amol S Joglekar
(Expert)
19 July 2016
The answer is c=6.
See what I think, you need to do LOT of practice of solving such questions. I will tell you a simple trick.....Just randomly select 10 sums with solutions, from this topic. Solve only those 10 sums daily 3 to 4 times for 5 days consecutively.....6 th day you try some other sum and see if you can solve by yourself.....if yes... you are through... if no....repeat above exercise for another 5 days.....ok? Do try it...i have made many mathematically neutral students scoring good marks in mathematics
See what I think, you need to do LOT of practice of solving such questions. I will tell you a simple trick.....Just randomly select 10 sums with solutions, from this topic. Solve only those 10 sums daily 3 to 4 times for 5 days consecutively.....6 th day you try some other sum and see if you can solve by yourself.....if yes... you are through... if no....repeat above exercise for another 5 days.....ok? Do try it...i have made many mathematically neutral students scoring good marks in mathematics
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19 July 2016
OK.Thank you very much for your advice. But we have different different questions and methods in our book
19 July 2016
one more question please
solve in your method please
I got but it's very difficult method to solve
Question: -Last year the ratio between the salaries of A and B was 3:4 but the ratio of their individual salaries between the last year and this year were 4:5 and 2:3 respectively. If the sum of their present salaries is Rs.4,160 then the salary of A is now
a)Rs.1,040
b)Rs.1,600
c)Rs.2,560
d)Rs.3,120
Amol S Joglekar
(Expert)
20 July 2016
Please.....something is missing in this......please repeat the question.....
Last year ratio between the salaries of A and B was 3:4..................... (This is ok)
Now you say...the ratio of their individual salaries between last year was 4:5.....(What is this? )
Can you please clarify?
Last year ratio between the salaries of A and B was 3:4..................... (This is ok)
Now you say...the ratio of their individual salaries between last year was 4:5.....(What is this? )
Can you please clarify?
20 July 2016
actually nothing is missing. the question is this only.
They said that the ratio of salary of A between last year and present year is 4:5 and ratio of salary of B between last year's and present year is 2:3
Amol S Joglekar
(Expert)
21 July 2016
That is why I told you to practice more and more......
Let me tell you one more thing.....There is a concept called as "DEDUCING theory". You will master it once you start practising/solving the sums on daily basis...(No matter you solve the same sums again and again)
Now let me put forth the logic of solution
since total of current salaries of A and B is 4160, the total of last year's salaries of A and B = 3120...(How?)Because the ratio given is 3:4.....ok? is it correct? Please confirm....because I still have soe doubts about the WORDING of your question.......Please confirm
Let me tell you one more thing.....There is a concept called as "DEDUCING theory". You will master it once you start practising/solving the sums on daily basis...(No matter you solve the same sums again and again)
Now let me put forth the logic of solution
since total of current salaries of A and B is 4160, the total of last year's salaries of A and B = 3120...(How?)Because the ratio given is 3:4.....ok? is it correct? Please confirm....because I still have soe doubts about the WORDING of your question.......Please confirm
Amol S Joglekar
(Expert)
26 July 2016
That is absolutely fine...
See, let me tell you one simple thing..... such questions can be solved by "deducing" theory
Just go on solving...one by one....first will be to assume A = 1040 and see if it produces the correct result.....if NO...then go for B = 1600 and so on......
See, let me tell you one simple thing..... such questions can be solved by "deducing" theory
Just go on solving...one by one....first will be to assume A = 1040 and see if it produces the correct result.....if NO...then go for B = 1600 and so on......
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