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:
161 comments Page 4 of 17.
Brajesh said:
1 decade ago
Through ratio share can be divided accordingly as A:B=3:2 B' SHARE will be 2/5*1210=484.
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)
Ramana said:
1 decade ago
A:B=3:2
SO, B only share equal to 2/5*1210=2*242=484.
SO, B only share equal to 2/5*1210=2*242=484.
NITESH MALAKAR said:
1 decade ago
A+B=1210.
A:B=3:2.
A/B=3/2.
2A=3B.
Therefore, A=(3B)/2.
And substituting, (3B/2)+B=1210.
And hence, 5B=2420 => B=484 Rs.
A:B=3:2.
A/B=3/2.
2A=3B.
Therefore, A=(3B)/2.
And substituting, (3B/2)+B=1210.
And hence, 5B=2420 => B=484 Rs.
Ranjeet Kaur said:
1 decade ago
Let A have x Rs.
Let B have y Rs.
Acc. to Question,
x + y = 1210-----------------1.
Now as per condition,
4/15 x = 2/5 y.
therefore, x = 2/5 y X 15/4.
x = 3/2 y.
Put this value in equation 1.
3/2 y + y =1210.
3y + 2y = 2420.
5y = 2420.
y = 484.
Therefore B has amount of Rs. 484/-.
Let B have y Rs.
Acc. to Question,
x + y = 1210-----------------1.
Now as per condition,
4/15 x = 2/5 y.
therefore, x = 2/5 y X 15/4.
x = 3/2 y.
Put this value in equation 1.
3/2 y + y =1210.
3y + 2y = 2420.
5y = 2420.
y = 484.
Therefore B has amount of Rs. 484/-.
IMU said:
1 decade ago
Dude why to are going in long way.
The shortcut:
He ask about B share,
Directly 1210 x 2/5 = 484.
The shortcut:
He ask about B share,
Directly 1210 x 2/5 = 484.
Vinay said:
1 decade ago
4/15*A = 2/5*B.
A/B = 3/2.
Ratio scale A B Total amount
3 2 5
*242 *242 *242
26 484 1210
So B share is 484.
A/B = 3/2.
Ratio scale A B Total amount
3 2 5
*242 *242 *242
26 484 1210
So B share is 484.
Keddy said:
1 decade ago
Its interesting but is there any logic or short trick 2 solve this question in few second?
Mayank Mathur said:
1 decade ago
If there is simply multiplication then what is the need of 3:2.
Why we solved it?
Why we solved it?
Richael said:
1 decade ago
How do you get the 1210? I'm confusing.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers