Aptitude - Ratio and Proportion - Discussion

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

3. 

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

[A]. Rs. 500
[B]. Rs. 1500
[C]. Rs. 2000
[D]. None of these

Answer: Option C

Explanation:

Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.

Then, 4x - 3x = 1000

x = 1000.

B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.


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?

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