Aptitude - Ratio and Proportion - Discussion

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.

Agree, option C : 2000 is the correct answer.

Can anyone please explain me the sum in detail?

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).

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

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

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.

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.

@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.

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