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. 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:
76 comments Page 7 of 8.
DEEPA said:
1 decade ago
Hi,
This sum can be solved very simply without using paper and pen also. First read the question properly.
C is getting Rs 1000 more than D so C is having more money than D.
C is having 4x and D is having 3x, the difference between both is given as 1000. So 4x-3x=1000, x=1000. So C is having 4000.
How much money B is having ? B is having half of the money with C, because B is 2x. C is 4x so B =2000 (half of the money OF C).
This sum can be solved very simply without using paper and pen also. First read the question properly.
C is getting Rs 1000 more than D so C is having more money than D.
C is having 4x and D is having 3x, the difference between both is given as 1000. So 4x-3x=1000, x=1000. So C is having 4000.
How much money B is having ? B is having half of the money with C, because B is 2x. C is 4x so B =2000 (half of the money OF C).
Nandhu Bommi said:
1 decade ago
@sindhu
Answer is 2:5
Reason: Let X is orange, Y is apple.
given as 15x+7y=10x+9y
s0, 15x-10x=9y-7y
5x=2y
x/y=2/5
so, x:y=2:5
Answer is 2:5
Reason: Let X is orange, Y is apple.
given as 15x+7y=10x+9y
s0, 15x-10x=9y-7y
5x=2y
x/y=2/5
so, x:y=2:5
Sindhu said:
1 decade ago
Fifteen oranges and seven apples cost as much as ten oranges and nine apples. What is the ratio of the cost of one orange to that of one apple?
a) 2:5
b) 5:2
c) 3:4
d) none of these.
a) 2:5
b) 5:2
c) 3:4
d) none of these.
Raj said:
1 decade ago
Dear Shrona i think u are wrong if u take D=500 then C should be 4*500=2000 not 1000 more than D am i correct if not explain me.
Shrona said:
1 decade ago
Ramesh even I had calculated in the same way as per ur 1st comment.
But,this assumption might go wrong as per different values.
Like some people might assume D value as 500.
then C becomes 1500....
So, better to follow the calculation formulas dear :)
But,this assumption might go wrong as per different values.
Like some people might assume D value as 500.
then C becomes 1500....
So, better to follow the calculation formulas dear :)
RAHUL SINGH said:
1 decade ago
Let their Ratio =5X,2X,4X,3X C+1000=D,C-D=1000,4X-3X=1000,X=1000,B=2X=2.1000=2000
Umamahesh said:
1 decade ago
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.
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.
(1)
Sasa said:
1 decade ago
@Ramesh that was good answer:).
Abhishek said:
1 decade ago
Ramesh you are a genius.
Manju said:
1 decade ago
@Ramesh
I guess your doubt has not been cleared properly. So, i'll give it a try. For example, if the money is divided between A and B in the ratio 3:5;
then, A:B=3:5.
We can also write; A/B=3/5 which means we can exchange B and 3 and rewrite as A/3=B/5. Then if A/3=B/5=x here x is a constant. Then we can write A=3x and B=5x right?
And a proportion is for example A:B=C:D which states that two ratios are equal.
I guess your doubt has not been cleared properly. So, i'll give it a try. For example, if the money is divided between A and B in the ratio 3:5;
then, A:B=3:5.
We can also write; A/B=3/5 which means we can exchange B and 3 and rewrite as A/3=B/5. Then if A/3=B/5=x here x is a constant. Then we can write A=3x and B=5x right?
And a proportion is for example A:B=C:D which states that two ratios are equal.
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