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 3 of 17.

GOBINDA BEHERA said:   3 years ago
Excellent explanation. Thanks all.
(9)

Aadya said:   3 years ago
Thanks @Anjana.
(7)

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

Thanks, everyone.
(7)

Deva said:   7 months ago
4x/15 = 2y/5.
x/y = 3/2.
3+2 = 1210.
5 = 1210.
1 = 242.
y = 2y.
2 * 242.
= 484.
(7)

Deva said:   7 months ago
B's Share Rs = (1210*2/3) = 484.
A's Share Rs = (1210*4/15) = 323.
(7)

PRAGATHI said:   7 months ago
A = B.
4/15 = 2/5.
Total amount = 1210,
2/5 * 1210 = 484.
(6)

Sridhar said:   1 decade 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 Rs.
(4)

Anomie said:   5 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)

Nikki said:   2 months ago
Thank you for explaining the answer.
(3)

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)


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