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?
of A's amount is equal to of B's amount, how much amount does B have?
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:
164 comments Page 5 of 17.
Chaya said:
1 decade ago
I have one more solution:
Here a+b=1210
All given possible values of b in options are :
1. 460 2. 484
3. 550 4. 664
By b's we can find a's values
1. (1210-460)=750 2. (1210-484)=726
3. (1210-550)=660 4. (1210-664)=546
Condition given: 4/15a = 2/5b then
For b's values we will check condition
1. (4/15)*750 = (2/5)*460
200 = 184 (false)
2. (4/15)*726 = (2/5)*484
193.6 = 193.6 (true)
3. (4/15)*660 = (2/5)*550
176 = 220 (false)
4. (4/15)*546 = (2/5)*664
145.6 = 265.6 (false)
So b=484 is correct.
Here a+b=1210
All given possible values of b in options are :
1. 460 2. 484
3. 550 4. 664
By b's we can find a's values
1. (1210-460)=750 2. (1210-484)=726
3. (1210-550)=660 4. (1210-664)=546
Condition given: 4/15a = 2/5b then
For b's values we will check condition
1. (4/15)*750 = (2/5)*460
200 = 184 (false)
2. (4/15)*726 = (2/5)*484
193.6 = 193.6 (true)
3. (4/15)*660 = (2/5)*550
176 = 220 (false)
4. (4/15)*546 = (2/5)*664
145.6 = 265.6 (false)
So b=484 is correct.
(1)
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.
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.
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:
4 years ago
Thanks for the wonderful explanation.
(1)
Mukti said:
4 days ago
Thanks to all for explaining the answer.
(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)
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 :)
Thank you :)
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