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?
of A's amount is equal to of B's amount, how much amount does B have?
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:
162 comments Page 4 of 17.
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.
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:
5 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.
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:
12 months ago
4 * 5a = 2815b
20a = 30b
A:B = 3:2
5-1210
3-726
2-484
B = 484.
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)
Anji said:
2 decades ago
How you will find B's share directly, tell me?
(1)
Anil said:
1 decade ago
4/15*(1210-B)=2/5*B
=>5B=2*1210
=>B=2*1210/5
=>B=484
=>5B=2*1210
=>B=2*1210/5
=>B=484
(1)
Rath said:
1 decade 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
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)
Chaya said:
1 decade ago
I have one more solution:
Here a+b=1210
All given possible values of b in options are :
1. 460 2. 484
3. 550 4. 664
By b's we can find a's values
1. (1210-460)=750 2. (1210-484)=726
3. (1210-550)=660 4. (1210-664)=546
Condition given: 4/15a = 2/5b then
For b's values we will check condition
1. (4/15)*750 = (2/5)*460
200 = 184 (false)
2. (4/15)*726 = (2/5)*484
193.6 = 193.6 (true)
3. (4/15)*660 = (2/5)*550
176 = 220 (false)
4. (4/15)*546 = (2/5)*664
145.6 = 265.6 (false)
So b=484 is correct.
Here a+b=1210
All given possible values of b in options are :
1. 460 2. 484
3. 550 4. 664
By b's we can find a's values
1. (1210-460)=750 2. (1210-484)=726
3. (1210-550)=660 4. (1210-664)=546
Condition given: 4/15a = 2/5b then
For b's values we will check condition
1. (4/15)*750 = (2/5)*460
200 = 184 (false)
2. (4/15)*726 = (2/5)*484
193.6 = 193.6 (true)
3. (4/15)*660 = (2/5)*550
176 = 220 (false)
4. (4/15)*546 = (2/5)*664
145.6 = 265.6 (false)
So b=484 is correct.
(1)
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