Aptitude - Ratio and Proportion - Discussion

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.

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.

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.

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

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

1 = 1000.

B's share = 1000 × 2= 2000.

Agree, option C : 2000 is the correct answer.