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:
166 comments Page 5 of 17.

Megha said:   6 years ago
As a total proportion of B is 2/5 of the total so the proportion of b is = 2.
and total proportion is 5; so A's proportion 5-2 = 3.
And B= 2/5 * total = 2/5*1210 = 484.
And A = 1210- 484 = 726.

Thanks.
(2)

Anomie said:   6 years ago
A+B = 1210.
(4/15)A = (2/5)B,
2A = 3B.
Therefore, A = (3B)/2,
and substituting, (3B/2) + B = 1210,
and hence, 5B=2420 => B = 484.
(3)

Mahender said:   6 years ago
Thanks @Sridhar.

Nazeem khan said:   6 years ago
Thank you @Bhuvi.

Anushka said:   6 years ago
Thanks for explaining the answer @Sridhar.

Prince said:   6 years ago
Very clear explanation, thanks @Sridhar.

Smit patel said:   6 years ago
A+B=1210
4A/15=2B/5
A=3B/2.

3B/2+B=1210
5B=2420
B=484.

Thiru said:   7 years ago
2/5(1210) = 2420/5 = 484.

Naomi said:   7 years ago
We can also do it this way;

If 4/15 of A = 2/5 of B then,
1210 * 4/15= 322.6.
Therefore if 322.6 - 0.4 (divide 2/5).
Then x - 0.6 is 483.9 that is 484.

AKASH KUMAR said:   7 years ago
I am not understanding the last step can anyone explain it?
(1)


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