# 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?

Answer: Option

Explanation:

Let the shares of A, B, C and D be Rs. 5*x*, Rs. 2*x*, Rs. 4*x* and Rs. 3*x* respectively.

Then, 4*x* - 3*x* = 1000

*x* = 1000.

B's share = Rs. 2*x* = Rs. (2 x 1000) = Rs. 2000.

Discussion:

70 comments Page 2 of 7.
Setor said:
4 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.

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:
4 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.

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:
4 years ago

According to the given solution that;

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

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

Sartaj said:
4 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.

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.

Massi said:
4 years ago

Very helpful, thanks @Ramesh.

Ruchith praharsha said:
5 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.

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

Prateek said:
5 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.

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:
5 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.

Please explain.

Sathya said:
5 years ago

Super, Thanks @Ramesh.

Rajeel said:
5 years ago

Why 4x is subtracted with 3x in the solution? anyone can help?

Post your comments here:

Quick links

Quantitative Aptitude

Verbal (English)

Reasoning

Programming

Interview

Placement Papers