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:
161 comments Page 11 of 17.

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

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?

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

Ayush p maheshwari said:   9 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.

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

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.

Pravallika said:   9 years ago
@Sandeep

The ratio a : b is different from that of ad : bc.
2 : 3 is the answer for ad : bc but not a : b.

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

As per the rules of the ratio, it is written as;
4/15 = 4 :15 and 2/5 = 2:5.

Because they didn't mention the ratios of the amounts they had. They mentioned about the relation between those ratios.

A(4/15) = B(2/5) then A : B is 3 : 2.

And amount of B is 3/(3 + 2) * 1210 = 484.

Raghuveer said:   9 years ago
The simple way is;

2/5 * 15/4 = 3/2.
A : B = 3 : 2.

5 -----> 1210.
then 2 --------> 1210 * 2/5 = 484.

Shubham said:   9 years ago
@Sridhar.

Your explanation is helpful. Thank you.

Raghuveer said:   9 years ago
a/b = 3/2, a:b = 3:2

5 ----> 1210
2 ----> 484


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