# 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:
70 comments Page 1 of 7.

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

Ramesh why 5x, 2x, 4x, 3x.

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

What 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

@Nischal.

The equality of two ratio is proportion.

@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.

Ramesh you are a genius.

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.