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
Answer: Option
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 2 of 8.

Abhimanyu Tiwari said:   4 years ago
@Santosh, Money is not equally distributed that is already given in question. Are you have some difficulty understanding this 5x thing?

Santhosh said:   5 years ago
In the question he didn't mention that money is equally distributed, so how could all take it as var x for all?
(1)

Setor said:   5 years ago
@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.

Annie said:   5 years ago
How to solve this problem? Please help me.

Divide rupees 500 between A, B and C so that A gets 2/3 of what B gets and B gets 1/4 of what C gets. Find the share of each.

Madhu said:   5 years ago
According to the given solution that;

3x+1000=4x but x =2000 but it doesn't satisfy this equation.

Sartaj said:   5 years ago
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.
(1)

Massi said:   5 years ago
Very helpful, thanks @Ramesh.

Ruchith praharsha said:   6 years ago
The amount of C be 4x and amount of D be 3x difference equals to x equals to 1 thousand so x equals to 1000.

B equals to 2x equals to 2 * 1000 equals to 2000.

Prateek said:   6 years ago
A = 5.

Here they have said that C is 1000 more than D so C = 4 - D = 3 = 4 - 3 = 1.

1 unit = 1000 then 2 units would be 2 * 1000 = 2000.
B = 2,
C = 4,
D = 3.

Naresh Kumar said:   6 years ago
If 414 amount is distributed B share is equal to 2/3 of A, B and c ratio 5:7 then what is the A part of share?

Please explain.


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