ratio and proportions

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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

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

05 July 2016 a) p x p = 6st is right / correct

10 July 2016 can you explain it please

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

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

13 July 2016 after this what to do

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

16 July 2016 Thanks a lottt!!!!!!

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

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)

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

18 July 2016 options are also given they are a)6 b)7 c)8 d)14

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

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 only 2-3 are related

19 July 2016 then also can I follow the same method

19 July 2016 these books are prepared by our college

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

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?

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

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


26 July 2016 OK,thank you

26 July 2016 and nothing is wrong in this question

26 July 2016 in our books they gave question like this

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......


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