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 2 of 17.

Shekhar said:   1 year ago
Let A's amount be x and B's amount be y.
Given:
(4/15)x = (2/5)y.
Solving this, we get x = (3/2)y,
Also given: A + B = 1210.

Substituting.
x = (3/2)y in A + B = 1210, we get (3/2)y + y = 1210.
Simplifying, we get (5/2)y = 1210,
y = (1210 * 2)/5 = 484.
(41)

Dhanyakumar dk patil said:   1 year ago
B's Share Rs= (1210*2/3) = 484.
A's Share Rs= (1210*4/15) = 323.
(73)

Nilansh Kumar said:   1 year ago
Nice explanation. Thanks all.
(13)

Mithun said:   2 years ago
A = 3/2B.
=> A/B = 3/2 Divide symbol can be considered as Ratio, So,
=> A:B = 3:2.

When it comes to the ratio 3:2.
The ratio value can be added to get the whole amount.
Here, the whole amount can be represented as 5 parts(Adding 2+3 = 5).

And according to the ratio (A:B = 3:2), B equals to 2/5 part of the whole amount(1210), which can be represented as;
2/5(1210) = 484.
(31)

Saina Bhanja Deo said:   2 years ago
Very clear explanation.

Thanks, everyone.
(7)

Mayank pandey said:   2 years ago
4x/15 = 2y/5.
x/y = 3/2.
3+2 = 1210.
5 = 1210.
1 = 242.
y = 2y.
2 * 242.
= 484
(32)

Kiran said:   2 years ago
Why should we have to find a : b?

Here we can directly multiply the 2/5*1210. Right?
(113)

Sahil said:   2 years ago
Perfect explanations. Thanks, everyone.
(14)

Saurav said:   2 years ago
Nice explanation.
(23)

Ragavan said:   3 years ago
Wonderful explanation. Thanks.
(21)


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