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:
162 comments Page 10 of 17.

Sandeep said:   9 years ago
Here,

A + B = 12110.
A 4/15 = B 2/5.
It can be written as per the rules of the ratio.

4/15 = 4 :15 and 2/5 = 2:5.

As per rules of ratio:
If a : b = c : d then a : b :: c : d in short it equal to ad : bc.

So, here 4 : 15 = 2 : 5.

Then,
4:15 :: 2:5 = 4 * 5 : 15 * 2 = 20 : 30.

2 : 3 So, the ratio between a and b is 2 : 3.

=> a + b = 1210
So, a : b =2 : 3.
b =1210 * 3/5.
=726.

Am I correct? Is there any mistake please tell me.
(2)

Athira.Dams said:   9 years ago
A + B = 1210.
B = 1210 - A.

(4/15)A = (2/5)B = (6/15)B.
B = (4/15) * (15/6)A.
= (2/3)A.
A + (2/3)A = 1210.

(3A/3) + (2A/3) = 1210.
5A/3 = 1210.

A =1210 * (3/5).
= 726.

B = 1210 - 726.
=484.

SATEESH said:   9 years ago
I'm not getting this, Please anyone help me to solve this problem.

Ayush p maheshwari said:   10 years ago
We have to just divide 2/5 from 1210. To prove that they both are not equal that's why they take ratio.

Azly said:   10 years ago
Can find answer using simultaneous equations too?

Rajesh said:   10 years ago
My questions are:

1. If 2\5*1210 = 484 works for B.

Then A should be 4/15*1210. But it doesn't give the answer.

2. Why we are calculating A:B?

Lemlem said:   10 years ago
Please tell me how can find the ratio 4:15 for A and 2:15 for B?

Pandit ishu said:   10 years ago
Please tell how it work?

Parvathi said:   1 decade ago
Hi please tell me how you got ratio 4/15 for A and 2/15 for B they haven't mention anything in the question.

Justine said:   1 decade ago
Where did you find 1210?


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