# 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 1 of 8.

JPE said:   2 months ago
Solution:

4x - 3x = 1000
x = 1000.

b -> 2x so, 2*1000 = 2000.

Explanation:
5:2:4:3 can be written as 5x + 2x + 4x + 3x = total amount shared between them.

(Hint -> whenever the answer required is in terms of an integer like find the amount, no. of students, no, of people, the amount spent or whatever it may be always represent the given ratio in terms of x).

so, 4x -> c, 3x -> d.

4x-3x = 1000(because if d gets 1000 , c will get 2000 or if d gets 100 c will get 1100 if u subtract their two amounts u should get 1000 as difference.)
4x-3x = 1000
x = 1000.
.
question -> Find B's share.
So, b is 2x
Then, 2*1000 = 2000.
(2)

JJA said:   9 months ago
Let the total sum of money be x.

5 + 2 + 4 + 3 = 14.

If C - D=1000.

Then:
4/14(x) - 3/14(x) = 1000,
[4/14 - 3/14]x = 1000.

Since the fractions have the same denominator, we can break it down as;

1/14 x = 1000,
x = 1000 * 14,
x= 14000.

If the ratio of B is 2/14.
2/14 * 14000 = 2000,
So, B = 2000.
(14)

Siddhanta said:   2 years ago
Can anyone please explain me the sum in detail?
(3)

Shivu said:   2 years ago
The difference between the ratio of C and D is 1 but according to the question the difference is 1000, it means 1000 times than the shares of B 1000 times of the ratio given then the result 2000.
(9)

Komali said:   2 years ago
Given A:B:C:D is 5:2:4:3.

Let take 'x' as constant.

A = 5x, B = 2x, C = 4x,D = 3x.

Given that difference between C and D is 1000 which means C is Rs.1000 more than D
then,

4x - 3x = 1000,
x = 1000 then,
B = 2x = 2(1000) = 2000.
(22)

SponBob said:   3 years ago
Consider that 1000 as x;

C gets 1000 more than D;
C+1000 = D;
D - 1000 = C;
Ratio is 5x, 2x, 4x, 3x;
A = 5*1000 = 5000.
B = 2*1000 = 2000.
C = 4*1000 = 4000.
D = 3*1000 = 3000.
(25)

Vipul Agrawal said:   3 years ago
Let their Ratio = 5X,2X,4X,3X.
C+1000 = D
C-D = 1000,
4X-3X = 1000,
X = 1000,
B = 2X = 2.1000=2000.
(9)

Jeeva said:   3 years ago
The question that means if c gets 1000 more than d and this is a keyword.

That's while: c refers as 4x and d refers as 3x. which means 4x + 1000=3x

=> 4x-3x=1000
X=1000.

Thereby sub x=1000 in all term,
5x=5000 as A share,
2x=2000 as B share,
4x=4000as C share,
And 3x=3000 as D share.
(4)

Sudip Paul said:   3 years ago
A:B:C:D= 5:2:4:3.

A's money share = 5x
B's money share = 2x
C's money share = 4x
D's money share = 3x.

C get 1000 more than D.

C's money= D's money + 1000,
4x= 3x + 1000,
4x-3x = 1000,
X = 1000.

B's money share=2x,
= 2 * 1000,
= 2000.
(8)

Abisheak said:   4 years ago
Simple way to solve:

A : B : C : D = 5 : 2 : 4 : 3.

In this ratio, B's value =2.

B's share =1000(given) * 2 = 2000(option c).
(2)