Aptitude - Ratio and Proportion - Discussion

Dude why to are going in long way.

The shortcut:

He ask about B share,

Directly 1210 x 2/5 = 484.

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/-.

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
SO, B only share equal to 2/5*1210=2*242=484.

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