### Discussion :: Ratio and Proportion - General Questions (Q.No.3)

Ramesh said: (Feb 11, 2011) | |

A:B:C:D = 5:2:4:3 LET A=5000, B=2000 C=4000 D=3000 HERE C=4000 AND D= 3000 SO, C IS GETTING 1000 MORE THAN D (CONDITION SATISFIED) NATURALLY A=5000 AND B= 2000 SO, B'S SHARE =2000 |

Balaji said: (Feb 28, 2011) | |

Ramesh why 5x, 2x, 4x, 3x. Please explain me clearly. |

Benny The Cowboy said: (Mar 13, 2011) | |

@Balaji: x is just considered as amount is given in propertion. x is a variable to calculate to find the answer |

Nischal said: (Mar 25, 2011) | |

What is proportion ? |

Samal said: (Jul 23, 2011) | |

@Nichal: Whenever any chage in one course,corresponding change in such a way that may consist of relationship between them. Such a relationship which is known as proportion |

Manivannan said: (Aug 9, 2011) | |

@Nischal. The equality of two ratio is proportion. |

Manju said: (Aug 15, 2011) | |

@Ramesh I guess your doubt has not been cleared properly. So, i'll give it a try. For example, if the money is divided between A and B in the ratio 3:5; then, A:B=3:5. We can also write; A/B=3/5 which means we can exchange B and 3 and rewrite as A/3=B/5. Then if A/3=B/5=x here x is a constant. Then we can write A=3x and B=5x right? And a proportion is for example A:B=C:D which states that two ratios are equal. |

Abhishek said: (Oct 2, 2011) | |

Ramesh you are a genius. |

Sasa said: (Jan 13, 2012) | |

@Ramesh that was good answer:). |

Umamahesh said: (Mar 10, 2012) | |

We can solve it by also the following method; let the sum of the money be X. then,5X/14+2X/14+4X/14+3X/14=X. [because(5+2+4+3=14) A's share=5X/14,B's share=2X/14,C's share=4X/14 and D's share=3X/14 It is given that C gets Rs. 1000 more than D, i.e, 4X/14=1000+3X/14 4X/14-3x/14=1000 X/14=1000 X=14000. So, B's share is 2X/14=2*14000/14 = 2000 Rs. |

Rahul Singh said: (Mar 14, 2012) | |

Let their Ratio =5X,2X,4X,3X C+1000=D,C-D=1000,4X-3X=1000,X=1000,B=2X=2.1000=2000 |

Shrona said: (Mar 17, 2012) | |

Ramesh even I had calculated in the same way as per ur 1st comment. But,this assumption might go wrong as per different values. Like some people might assume D value as 500. then C becomes 1500.... So, better to follow the calculation formulas dear :) |

Raj said: (May 2, 2012) | |

Dear Shrona i think u are wrong if u take D=500 then C should be 4*500=2000 not 1000 more than D am i correct if not explain me. |

Sindhu said: (May 7, 2012) | |

Fifteen oranges and seven apples cost as much as ten oranges and nine apples. What is the ratio of the cost of one orange to that of one apple? a) 2:5 b) 5:2 c) 3:4 d) none of these. |

Nandhu Bommi said: (Sep 15, 2012) | |

@sindhu Answer is 2:5 Reason: Let X is orange, Y is apple. given as 15x+7y=10x+9y s0, 15x-10x=9y-7y 5x=2y x/y=2/5 so, x:y=2:5 |

Deepa said: (Mar 26, 2013) | |

Hi, This sum can be solved very simply without using paper and pen also. First read the question properly. C is getting Rs 1000 more than D so C is having more money than D. C is having 4x and D is having 3x, the difference between both is given as 1000. So 4x-3x=1000, x=1000. So C is having 4000. How much money B is having ? B is having half of the money with C, because B is 2x. C is 4x so B =2000 (half of the money OF C). |

Noor said: (Jun 14, 2013) | |

Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively. C gets Rs. 1000 more than D. So we take, C+1000 = D. 3x+1000 = 4x (put C=3x,D=4x). 1000 = 4x-3x. x = 1000. B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000. |

Srisailamyadav said: (Jun 15, 2013) | |

Hai its so simple. Here C gets 1000 more than D, So, C and D Ratio is 4:3. So difference 4-3 is 1. So 1 part = 1000. Here b ratio is 2. 2*1000 = 2000. |

Taha said: (Jul 22, 2013) | |

Anybody can help me out in this question. If A : B = 3 : 4 & B : C = 5 : 6 then A : B : C equals. |

Abc said: (Aug 7, 2013) | |

The common term from both ratios is 'B'. So the solution will be, 5 (A:B) :4 (B:C). In 5 (A:B) , the value 5 corresponds to the value of B in second ratio. Similarly, in 4 (B:C) , the value 4 corresponds to the value of B in the first ratio. Thus, 5 (A:B) :4 (B:C) = 5 (3:4) :4 (5:6). = (15:20) : (20:24). = (15:20:24). |

Mahesh Nanda said: (Aug 7, 2013) | |

A:B = 3:4. B:C = 5:6. According to continuous proportion, A:B:C = 3*5:4*5:4*6 = 15:20:24. |

Manzoor Hussain said: (Feb 9, 2014) | |

It is very simple Here A:B:C:D::5:2:4:3. And diff. Between c & d =1000 So share of B = B/C-D*1000 = 2/4-3*1000 = 2000 |

Shiva Sundar said: (Mar 5, 2014) | |

Very simple logic. Here question clearly saying that C gets 1000 more than D that is 4x-3x=1000 and x=1000. Then for A, 5x = 5*1000 = 5000. B, 2x = 2*1000 = 2000. C, 4x = 4*1000 = 4000. D, 3x = 3*1000 = 3000. |

Faizan said: (Jul 1, 2014) | |

x is total money. Now, shares of A, B, C and D comes out to be 5x/14, 2x/14, 4x/14, and 3x/14. (5+2+4+3=14), Now Acc. to question, C is getting 1000 more than D. Which means "[(4x/14)-(3x/14)]=1000" find x from here, which comes to be 14000. Now we can find B's share as (B=2x/14), put value of x, and B comes 2000. In the same way we can find share of any one. |

Swathy said: (Sep 7, 2014) | |

@Ramesh concept is ok but will it work for all the sums? |

Iswarya said: (Sep 26, 2014) | |

A B C 3:4 5:6 First multiply AxB as 3x5=15, likewise multiply 4x5=20 and finally multiply 4x6=24. That is 15:20:24. |

Kim Mota said: (Nov 12, 2014) | |

Ratio and proportion is our topic in math it is fun and easy I love to learn ratio. |

Raviteja said: (Dec 6, 2014) | |

@Taha. A:B = 3:4, B:C = 5:6. Simplify in easily in this way, Step 1: 3:4. 5:6. (3*5) : (5*4) : (6*4) = 15:20:24. |

Viswanadhaashok said: (Feb 28, 2015) | |

Let the shares of A, B, C, D. = 5x-2x = 3. = 4x-3x = 1. B's Share = 2x1000 = 2000. |

Faisal said: (Apr 23, 2015) | |

Its very simple as C gets 1000 more than D then C = D+1000. Now as given the ratios are C/D = D+1000/D which equals to 4/3 = D+1000/D => 4D = 3D +3000 =>D = 3000, C = 4000 and B = 2000. |

Adil said: (Aug 27, 2015) | |

Let suppose total sum of money is 'X'. And total of the proportion is 5+2+4+3 = 14. So one unit of the proportion is X/14. Then C gets X/14*4 and D gets X/14*3. According to question C gets 1000 more than D. So (X/14*4)-(X/14*3) = 1000 solving this we get. X = 14000. So, B's share is X/14*2. = 14000/14*2 = 2000. |

Surya said: (Sep 16, 2015) | |

Look for first let the cost be x. 5x 2x 4x 3x. Then the say C has 1000 rs more than D. So C-D = 1000. C = 4x and D = 3x. 4x-3x = 1000. x = 1000. B = 2xx. Therefore B = 2*x\2*1000. = 2000! |

Prabu said: (Sep 29, 2015) | |

Ratio mentally challenge game. |

Ddheeraj.S.R said: (Nov 8, 2015) | |

Briefly explain to me please. |

Vani said: (Jan 24, 2016) | |

The sum can be solved more easily. The parts of c and d = 4:3. The difference between the parts is 1. So 1-1000. 2-? = 2000. |

Ashok said: (Mar 18, 2016) | |

If a:b=3:1 b:c=3:5 c:d=2:1 then a:b:c:d? Please explain to me. |

Usha said: (Jul 12, 2016) | |

@Ramesh. Well said, teach me some aptitude tricks. |

Tin said: (Jul 12, 2016) | |

If a:b=4:3, then 6a=? can anyone help me with this please. |

Hascini said: (Jul 21, 2016) | |

@Ramesh, I have a question. If give A : B is 8 : 3, B : C is 1 : 3 and the difference of A and C is 6, how do I get the value of B? |

Saif said: (Jul 26, 2016) | |

It can also be solved in this way; Suppose the total amount is x. Total of the ratios is 14. C's share: 4/14 x = 3/14x + 1000( c get 1000 more of d, d share is 3/14 x). 4/14 x - 3/14 x = 1000. (1/14)x = 1000. x = 14000. B's share: = 2/14 * 14000. = 2000. |

Kumudha said: (Aug 23, 2016) | |

a = 5000. b = 2000. c = 4000. d = 3000. Then written it in the form of proportion, 5x, 2x, 4x, 3x then c gets more than 1000 then c = 4000 and x = 1000 then b = 2x. So, 2[1000] = 2000. |

Taha said: (Apr 2, 2017) | |

According to the question: C+1000 = D so we can write this: 4x/14+1000 = 3x/14. After this equation we gets x = 14000. For B: 2/14 *12000. And we get an answer B=2000. |

Ganpathkhan said: (Jun 16, 2017) | |

A = 5x . B= 2x C =4x . D = 3x. (A-B )- ( C-D) (5x - 2x)-(4x -3x) 3x-1x, 2x, C D =1000. X= 2*1000 = 2000, B = 2000. |

Mounika said: (Jun 21, 2017) | |

A:B:C:D. 5:2:4:3. 5x:2x:4x:3x. C gets Rs.1000 more than D, 4x=3x+x. 3x+x=3x. x is extra that is 1000 rs. B's share is 2x. That is 2*1000. 2000 B's share. |

Deepa said: (Jun 30, 2017) | |

Why we subtract 4x-3x? |

Priya said: (Jul 29, 2017) | |

@Ramesh. Your answer is very apparent, thank you. |

Ravi said: (Aug 18, 2017) | |

@Deepa. There are 4no. A, B, C, D=5x, 2x, 4x, 3x (respectivly). The Question says c get Rs 1000 more than D which means. We have C as 4x. And D as 3x so. 4x=3x+1000. Ok (ques says). Then 4x-3x=1000. Therefore x=1000. We have to find of B. Then B has 2x=>2*1000=2000 (x=1000). So, the answer is 2000. |

D Babu said: (Sep 19, 2017) | |

a=5000, b=2000, c=4000, d=3000 c value greater then d 1000. So, B shear 2000. |

Ralph said: (Oct 25, 2017) | |

Sepo Thabo shared sweets in the ratio 5:3. If Thabo had 15 sweets how many sweets did sepo received? Please answer. |

Keshav said: (Oct 25, 2017) | |

If rs 420 is divided between a and b in the ratio 3:4 then what is A's share? Explain properly. |

Rajeel said: (Nov 8, 2017) | |

Why 4x is subtracted with 3x in the solution? anyone can help? |

Sathya said: (Jun 1, 2018) | |

Super, Thanks @Ramesh. |

Naresh Kumar said: (Jul 19, 2018) | |

If 414 amount is distributed B share is equal to 2/3 of A, B and c ratio 5:7 then what is the A part of share? Please explain. |

Prateek said: (Jul 23, 2018) | |

A = 5. Here they have said that C is 1000 more than D so C = 4 - D = 3 = 4 - 3 = 1. 1 unit = 1000 then 2 units would be 2 * 1000 = 2000. B = 2, C = 4, D = 3. |

Ruchith Praharsha said: (Sep 12, 2018) | |

The amount of C be 4x and amount of D be 3x difference equals to x equals to 1 thousand so x equals to 1000. B equals to 2x equals to 2 * 1000 equals to 2000. |

Massi said: (Jan 21, 2019) | |

Very helpful, thanks @Ramesh. |

Sartaj said: (Mar 27, 2019) | |

Thanks every one. The simplest solution I found is; a:b:c:d 5:2:4:3 let the amounts be; 5x,2x,4x, and 3x respectively. then according to the condition. 1000=c-d. 1000=4x-3x. 1000=1x. Since; b=2x. Therefore. b=2(1000), b=2000. |

Madhu said: (Apr 6, 2019) | |

According to the given solution that; 3x+1000=4x but x =2000 but it doesn't satisfy this equation. |

Annie said: (Apr 22, 2019) | |

How to solve this problem? Please help me. Divide rupees 500 between A, B and C so that A gets 2/3 of what B gets and B gets 1/4 of what C gets. Find the share of each. |

Setor said: (May 8, 2019) | |

@All. According to me; From the question; C gets 1000 more than D. Hence C= 1000+D --> (1) Now from the proportion given, A:B:C:D is equal to 5:2:4:3. We can then say C:D = 4:3. or C/D = 4/3 ---> (2) Put equation (1) into (2) 4/3 = (1000 +D)/ D (using change of subject D= 3000). Remember the unknown is B. hence utilizing the proportion with the known values: 2:4 = B: C. 2/4 = B/(1000+3000) NB: c= 1000 +D from equation 1. Thus using a change of subject B = 2000. |

Santhosh said: (Oct 12, 2019) | |

In the question he didn't mention that money is equally distributed, so how could all take it as var x for all? |

Abhimanyu Tiwari said: (Dec 8, 2019) | |

@Santosh, Money is not equally distributed that is already given in question. Are you have some difficulty understanding this 5x thing? |

#### Post your comments here:

Name *:

Email : (optional)

» Your comments will be displayed only after manual approval.