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:
163 comments Page 5 of 17.

Supriyo said:   1 decade ago
(a+b) = 1210 given.

a4/15 = b2/5 given.

Then, a/b = (2/15)*(15/4).

=> a:b = 3:2.

Now, 3x+2x = 1210.

Then, x = 242.

So, b will be 2*242 = 484(ans).

&, a will be 3*242 = 726.
(1)

Swapnil said:   1 decade ago
But I still don't understand why we first calculate the ratio, final answer depend on the formula.
(1)

P harish said:   7 years ago
4/15, 2/5.
Lcm of 15 and 5 = 15.
4/15 * 15 = 4.
2/5 * 15 = 6.
Adding 4 + 6 = 10.
1210 ÷ 10 = 121.
4 * 121 = 484.
6 * 121= 726.
484 + 726 = 1210.
(1)

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

Sindhu said:   4 years ago
Thank you @Ranjeet Kaur.
(1)

Prashanth M said:   3 years ago
Thanks for the wonderful explanation.
(1)

Madhavan goud said:   6 days ago
4/15A = 2/5B.
a/b = 2/5 * 15/4.
a/b = 3/2.
a:b = 3:2.

Then 3x + 2x = 1210.
5x = 1210.
x = 1210/5.
x = 242.

Then Sub x value in b.
B = 2(242) = 484.
A = 3(242) = 726.
(1)

Nitesh Nandwana said:   2 decades ago
@Hi Gauri

Don't confuse about 2/5 it isn't that which is in question statement while it is (A:B=3:2 so B's =2/5)

Venkatraman said:   2 decades ago
@Sridhar

Thank you :)

Regha said:   2 decades ago
I cant understand B s Share Rs (1210*2/5).

A;3;2, why we wand to find reply?


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