Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 1)
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?
Rs. 460
Rs. 484
Rs. 550
Rs. 664
Answer: Option
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

Discussion:
167 comments Page 8 of 17.

Thejaswi said:   1 decade ago
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:   1 decade ago
Thank you sreedhar.

Pradeep said:   1 decade ago
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:   1 decade ago
What is the significance of finding ratio here. As B's share is calculated directly further in answer. Please explain.

Brajesh said:   1 decade ago
Through ratio share can be divided accordingly as A:B=3:2 B' SHARE will be 2/5*1210=484.

Ramana said:   1 decade ago
A:B=3:2
SO, B only share equal to 2/5*1210=2*242=484.

NITESH MALAKAR said:   1 decade ago
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.

Ranjeet Kaur said:   1 decade ago
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/-.

IMU said:   1 decade ago
Dude why to are going in long way.

The shortcut:

He ask about B share,

Directly 1210 x 2/5 = 484.

Vinay said:   1 decade ago
4/15*A = 2/5*B.

A/B = 3/2.

Ratio scale A B Total amount

3 2 5

*242 *242 *242

26 484 1210

So B share is 484.


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