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:
161 comments Page 8 of 17.
Athira.Dams said:
9 years ago
A + B = 1210.
B = 1210 - A.
(4/15)A = (2/5)B = (6/15)B.
B = (4/15) * (15/6)A.
= (2/3)A.
A + (2/3)A = 1210.
(3A/3) + (2A/3) = 1210.
5A/3 = 1210.
A =1210 * (3/5).
= 726.
B = 1210 - 726.
=484.
B = 1210 - A.
(4/15)A = (2/5)B = (6/15)B.
B = (4/15) * (15/6)A.
= (2/3)A.
A + (2/3)A = 1210.
(3A/3) + (2A/3) = 1210.
5A/3 = 1210.
A =1210 * (3/5).
= 726.
B = 1210 - 726.
=484.
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.
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)
Pravallika said:
9 years ago
@Sandeep
The ratio a : b is different from that of ad : bc.
2 : 3 is the answer for ad : bc but not a : b.
A(4/15) = B(2/5).
As per the rules of the ratio, it is written as;
4/15 = 4 :15 and 2/5 = 2:5.
Because they didn't mention the ratios of the amounts they had. They mentioned about the relation between those ratios.
A(4/15) = B(2/5) then A : B is 3 : 2.
And amount of B is 3/(3 + 2) * 1210 = 484.
The ratio a : b is different from that of ad : bc.
2 : 3 is the answer for ad : bc but not a : b.
A(4/15) = B(2/5).
As per the rules of the ratio, it is written as;
4/15 = 4 :15 and 2/5 = 2:5.
Because they didn't mention the ratios of the amounts they had. They mentioned about the relation between those ratios.
A(4/15) = B(2/5) then A : B is 3 : 2.
And amount of B is 3/(3 + 2) * 1210 = 484.
Shubham said:
9 years ago
@Sridhar.
Your explanation is helpful. Thank you.
Your explanation is helpful. Thank you.
Raghuveer said:
9 years ago
The simple way is;
2/5 * 15/4 = 3/2.
A : B = 3 : 2.
5 -----> 1210.
then 2 --------> 1210 * 2/5 = 484.
2/5 * 15/4 = 3/2.
A : B = 3 : 2.
5 -----> 1210.
then 2 --------> 1210 * 2/5 = 484.
Raghuveer said:
9 years ago
a/b = 3/2, a:b = 3:2
5 ----> 1210
2 ----> 484
5 ----> 1210
2 ----> 484
Shubham said:
9 years ago
Why we can not find the value of b directly?
b = (1210 X 2/5) = 484.
b = (1210 X 2/5) = 484.
Shambhu said:
9 years ago
Why 2/5 is taken?
Harrish crazie said:
9 years ago
Why 2/5 is used?
Jivraj singh rathore said:
9 years ago
(4/15)A = (2/5)B.
A/B = 3/2.
1210/5 = 242,
242 * 2 = 484.
A/B = 3/2.
1210/5 = 242,
242 * 2 = 484.
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