Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 1)

Ratio and Proportion

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:

161 comments Page 7 of 17.

Ris said: 8 years ago

Thanks for that helpful solution @Prkz.

Asif said: 8 years ago

Why we are finding the ratio?

Gayathri said: 8 years ago

To find B=?.

B = 1210*2/5.
B = 2420/5.
B = 484,

Rose said: 8 years ago

This can be done cery easily by simple algebra. tTher are two conditions,
First, A+B =1210.

Second,
A* 4/15 = B* 2/5.
A= B* 2/5 *15/4
A = 3/2 B. Put this value of A in first condition,
We get,
3/2 * B + B =1210.
5/2 *B =1210.
B =1210 * 2/5.
B =484.

Kabi said: 8 years ago

(4/15)A = (2/5)B.

Solve it and you will get A:B = 3:2.

Aimie said: 8 years ago

How 3/2 came?

Please explain it in detail.

Mr.Issue said: 8 years ago

The problem how 2/5*(1210)comes?
a+b = 1210 and now we got ratio a/b = 3/2,
So,add +1 both side,
a/b+1=3/2+1
a+b/b = 5/2.
Now b=2/5(a+b) = 2/5(1210) = 484.

Doris said: 8 years ago

Thanks @Imu.

You made it more simple. Thanks.

Abhilasha said: 8 years ago

Thank you all, now I understand how to solve ratio problem.

Mandy said: 8 years ago

Thanks for the given explanation, it's helpful.

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