# Aptitude - Ratio and Proportion - Discussion

Discussion Forum : 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?
Rs. 500
Rs. 1500
Rs. 2000
None of these
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.

Discussion:
72 comments Page 7 of 8.

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 :)

RAHUL SINGH said:   1 decade ago
Let their Ratio =5X,2X,4X,3X C+1000=D,C-D=1000,4X-3X=1000,X=1000,B=2X=2.1000=2000

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.
(1)

Ramesh you are a genius.

@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.

@Nischal.

The equality of two ratio is proportion.

@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

What is proportion ?

Benny the cowboy said:   1 decade ago
@Balaji: x is just considered as amount is given in propertion. x is a variable to calculate to find the answer