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Aptitude - Ratio and Proportion - Discussion

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"If you judge people, you have no time to love them."
- Mother Teresa
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?

[A]. Rs. 460[B]. Rs. 484
[C]. Rs. 550[D]. Rs. 664

Answer: Option C

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

Gauri said: (Sat, Sep 4, 2010 10:51:06 AM)    
 
Is it necessary to find ratio of A and B? Can we find share of B directly?.
Anji said: (Wed, Oct 6, 2010 10:44:59 AM)    
 
How you will find B's share directly, tell me?
Sridhar said: (Tue, Oct 12, 2010 07:31:48 AM)    
 
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 Rs.
Nitesh Nandwana said: (Sat, Oct 16, 2010 12:55:20 AM)    
 
@Hi Gauri

Don't confuse about 2/5 it isn't that which is in question statement while it is (A:B=3:2 so B's =2/5)
Venkatraman said: (Sat, Nov 27, 2010 02:31:19 AM)    
 
@Sridhar

Thank you :)
Regha said: (Mon, Dec 13, 2010 01:59:49 AM)    
 
I cant understand B s Share Rs (1210*2/5).

A;3;2, why we wand to find reply?
Bhuvi said: (Thu, Dec 16, 2010 11:41:42 AM)    
 
Hey rekha,
It is nothing.They used the formula
To find a=total amt given*(a ratio/a+b ratio)
To find b=total amt given*(b ratio/a+b ratio)
Bobby said: (Sun, Dec 26, 2010 08:53:47 AM)    
 
Thanks Sridhar.
Anil said: (Tue, Feb 22, 2011 07:26:12 AM)    
 
4/15*(1210-B)=2/5*B
=>5B=2*1210
=>B=2*1210/5
=>B=484
Rath said: (Sat, Mar 5, 2011 12:13:25 AM)    
 
Thanks bhuvi. Now I understand.
Sonali said: (Thu, May 19, 2011 09:03:46 AM)    
 
Thanks sridhar.
Ashu said: (Wed, Jun 29, 2011 11:50:27 AM)    
 
Thanks sridhar....
Velu said: (Fri, Jul 15, 2011 12:07:00 AM)    
 
Thanks bhuvi.
Khushboo said: (Tue, Jul 19, 2011 11:45:31 AM)    
 
Thanks sridhar.
Karthik said: (Fri, Aug 12, 2011 06:49:06 PM)    
 
Thnx sridhar you done it nice manner.
Dev said: (Tue, Sep 6, 2011 02:04:46 PM)    
 
Yeah, Sridhar you have made this really comprehensive. And Thanks to Bhuvi also.
Gnanendra. said: (Thu, Sep 15, 2011 03:41:03 PM)    
 
Thanks sridar your answer is very clear.
Rajaduraieee said: (Wed, Sep 21, 2011 03:14:52 PM)    
 
Thanks sridhar.
Manoj said: (Fri, Sep 23, 2011 01:15:45 AM)    
 
Shridhar your way is suficient for time consuming....!
Kushi said: (Thu, Oct 13, 2011 07:57:31 PM)    
 
Thanks sudhir. Now I understand.
Hamzajawad said: (Mon, Oct 17, 2011 09:24:54 PM)    
 
Thanks you sridhar your answer is very clear.
Prakash said: (Thu, Dec 15, 2011 04:21:01 PM)    
 
B'S =2/5
A's =3/5
so how A IS EQUAL TO B(A=B)
Prkz said: (Sun, Dec 18, 2011 11:06:09 PM)    
 
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
Ramesh said: (Sun, Jan 1, 2012 06:56:04 AM)    
 
Nice one more method
1210 is total of 2 members

Assume b is x
therefore is A is 1210-x
so 4/15*(1210-x)=2/5*x
4(1210-x)=6x
10x=4840
x=484
Prasanna said: (Mon, Jan 9, 2012 08:27:40 PM)    
 
Thanks sridhar...
Thilagavathi said: (Fri, Feb 17, 2012 10:25:58 PM)    
 
Superb sridhar.
Thejaswi said: (Mon, Apr 9, 2012 08:54:59 AM)    
 
A+B=1210
(4/15)A=(2/15)B
A=(15/4)(2/5)B
A/B=3/2
Take it as A/3=B/2
Adding denominators 5P.
So,5P=1210
P=242
B's Amount is 2P i.e,2(242)=484
Deepthi Palreddy said: (Tue, Jun 26, 2012 02:48:47 PM)    
 
Thank you sreedhar.
Pradeep said: (Fri, Aug 17, 2012 10:16:17 AM)    
 
Can anyone please explain, how u can find out the ration of A & B because in question they only tell that if of A's amount is equal to of B's amount. and also explain meaning of this line and how u can find that (4/15)A=(2/15)B .
Sakshi said: (Fri, Aug 24, 2012 07:12:00 PM)    
 
What is the significance of finding ratio here. As B's share is calculated directly further in answer. Please explain.
Brajesh said: (Fri, Sep 14, 2012 01:45:52 AM)    
 
Through ratio share can be divided accordingly as A:B=3:2 B' SHARE will be 2/5*1210=484.
Chaya said: (Fri, Oct 5, 2012 03:05:56 PM)    
 
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.
Ramana said: (Mon, Nov 26, 2012 12:10:37 PM)    
 
A:B=3:2
SO, B only share equal to 2/5*1210=2*242=484.
Nitesh Malakar said: (Wed, Jan 16, 2013 08:27:30 PM)    
 
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.
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