Aptitude - Ratio and Proportion - Discussion

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"Act well your part; there all honor lies."

- Alexander Pope

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)

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)

Rath said: (Sat, Mar 5, 2011 12:13:25 AM)

Thanks bhuvi. Now I understand.

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.

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.

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 12106/15= 484 solution. 4/15 = 2/5 4/15 = 2/53/3 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)=2/5x 4(1210-x)=6x 10x=4840 x=484