Aptitude - Ratio and Proportion - Discussion

The difference between C=4 and D=3 is 1.

1 = 1000.

B's share = 1000 × 2= 2000.

Let their Ratio = 5X, 2X, 4X, 3X.
C+1000 = D.
C-D = 1000,
4X-3X = 1000,
X = 1000,
B = 2X = 2 * 1000=2000.

It is said C gets a thousand more than D which means C will get extra money.

Mathematically let the number be x;
C=1000+D.
So c will be 4x and D will be 3x.
So 4x = 1000+3x.
So x = 1000.
Whenever we will get one part value or a single value of x we substitute in the asked value here c is 2x.
So, 2 × 1000 = 2000.

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.

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.

Can anyone please explain me the sum in detail?

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.

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.

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.

Let their Ratio = 5X,2X,4X,3X.
C+1000 = D
C-D = 1000,
4X-3X = 1000,
X = 1000,
B = 2X = 2.1000=2000.