Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 1)
1.
A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have?
Rs. 460
Rs. 484
Rs. 550
Rs. 664
Answer: Option
Explanation:

4 A = 2 B
15 5

A = 2 x 15 B
5 4

A = 3 B
2

A = 3
B 2

A : B = 3 : 2.

B's share = Rs. 1210 x 2 = Rs. 484.
5

Discussion:
164 comments Page 4 of 17.

Anomie said:   6 years ago
A+B = 1210.
(4/15)A = (2/5)B,
2A = 3B.
Therefore, A = (3B)/2,
and substituting, (3B/2) + B = 1210,
and hence, 5B=2420 => B = 484.
(3)

Anji said:   2 decades ago
How you will find B's share directly, tell me?
(2)

Sandeep said:   10 years ago
Here,

A + B = 12110.
A 4/15 = B 2/5.
It can be written as per the rules of the ratio.

4/15 = 4 :15 and 2/5 = 2:5.

As per rules of ratio:
If a : b = c : d then a : b :: c : d in short it equal to ad : bc.

So, here 4 : 15 = 2 : 5.

Then,
4:15 :: 2:5 = 4 * 5 : 15 * 2 = 20 : 30.

2 : 3 So, the ratio between a and b is 2 : 3.

=> a + b = 1210
So, a : b =2 : 3.
b =1210 * 3/5.
=726.

Am I correct? Is there any mistake please tell me.
(2)

Megha said:   6 years ago
As a total proportion of B is 2/5 of the total so the proportion of b is = 2.
and total proportion is 5; so A's proportion 5-2 = 3.
And B= 2/5 * total = 2/5*1210 = 484.
And A = 1210- 484 = 726.

Thanks.
(2)

Analio janaludu said:   1 year ago
4 * 5a = 2815b
20a = 30b
A:B = 3:2
5-1210
3-726
2-484
B = 484.
(2)

Gauri said:   2 decades ago
Is it necessary to find ratio of A and B? Can we find share of B directly?.
(1)

Anil said:   2 decades ago
4/15*(1210-B)=2/5*B
=>5B=2*1210
=>B=2*1210/5
=>B=484
(1)

Rath said:   2 decades ago
Thanks bhuvi. Now I understand.
(1)

Karthik said:   1 decade ago
Thnx sridhar you done it nice manner.
(1)

Prkz said:   1 decade ago
Nothing ya. just simple.

4/15=2/5

How it will bcom equal ? just c the denominator.
4/15
If you multiply 5 by 3 u will get 15 do it in the numerator also so it becoms 6/15 for B. calculate ratio for B now 1210*6/15= 484

solution.
4/15 = 2/5
4/15 = 2/5*3/3
4/15 = 6/15
therefor A:B 4:6
1210 * 6 / 15
484
(1)


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