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:
168 comments Page 6 of 17.
Naomi said:
7 years ago
We can also do it this way;
If 4/15 of A = 2/5 of B then,
1210 * 4/15= 322.6.
Therefore if 322.6 - 0.4 (divide 2/5).
Then x - 0.6 is 483.9 that is 484.
If 4/15 of A = 2/5 of B then,
1210 * 4/15= 322.6.
Therefore if 322.6 - 0.4 (divide 2/5).
Then x - 0.6 is 483.9 that is 484.
AKASH KUMAR said:
7 years ago
I am not understanding the last step can anyone explain it?
(1)
Kalyan kumar said:
7 years ago
Thanks for explaining @Chaya.
Saro said:
7 years ago
Why to find ratio A and B?
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)
Sanjay said:
7 years ago
A+B = 1210.
(4/15)A = (2/5)B.
A = (30/20)B.
A = (3/2)B,
A = 1.5B.
A+B = 1210.
.5B+B = 1210.
2.5B = 1210,
B = 1210/2.5,
B = 484.
(4/15)A = (2/5)B.
A = (30/20)B.
A = (3/2)B,
A = 1.5B.
A+B = 1210.
.5B+B = 1210.
2.5B = 1210,
B = 1210/2.5,
B = 484.
Sandhyarani said:
7 years ago
Thanks all for explaining the answer.
Venkatesan S G said:
7 years ago
Thank you @Sridhar.
Sivaa said:
8 years ago
A + B = 1210.
Now find the value of B?
4/15 A = 2/5 B.
A = (2/5 * 15/4) B.
==> A = (3/2) B.
ratio is A : B = 3:2 ==> ratio of A is 3 and ratio of B is 2.
A + B = 1210 // this formula Apply the A value,
(3/2) B + B = 1210 // ratio of B is 2 so B is replace 2.
(3)B + 2 = 1210 * 2,
(3)B + 2 = 2420,
5(B) = 2420,
B = 2420/5,
B = 484.
Now find the value of B?
4/15 A = 2/5 B.
A = (2/5 * 15/4) B.
==> A = (3/2) B.
ratio is A : B = 3:2 ==> ratio of A is 3 and ratio of B is 2.
A + B = 1210 // this formula Apply the A value,
(3/2) B + B = 1210 // ratio of B is 2 so B is replace 2.
(3)B + 2 = 1210 * 2,
(3)B + 2 = 2420,
5(B) = 2420,
B = 2420/5,
B = 484.
Dnyaneshwar dk said:
8 years ago
How will you find B's share directly to 1210?
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