Aptitude - Ratio and Proportion - Discussion

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.

Through ratio share can be divided accordingly as A:B=3:2 B' SHARE will be 2/5*1210=484.

What is the significance of finding ratio here. As B's share is calculated directly further in answer. Please explain.

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 .

Thank you sreedhar.

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

Superb sridhar.

Thanks sridhar...

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

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