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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

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.

 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.